Videos and presentation materials from other INI events are also available.
Event  When  Speaker  Title 

MTH 
6th February 2002 11:30 to 12:30 
Nonlocal string theories  
MTH 
7th February 2002 14:00 to 15:30 
Unknown  
MTHW02 
11th February 2002 11:00 to 11:30 
Thermality in AdS and dS spacetimes and holography  
MTHW02 
11th February 2002 11:30 to 12:00 
M Berkooz  Nonlocal string theories 
MTHW02 
11th February 2002 12:00 to 12:30 
Hyperbolic Lie algebras  
MTHW02 
11th February 2002 14:30 to 15:00 
Supergravity duals of wrapped branes  
MTHW02 
11th February 2002 15:00 to 15:30 
(NonBPS) Dirichlet branes, orientifolds and Ktheory  
MTHW02 
11th February 2002 16:00 to 16:30 
Tachyons, supertubes and supersymmetric braneantibrane systems  
MTHW02 
11th February 2002 16:30 to 17:00 
B Pioline  Exceptional theta series and the quantum BPS membrane 
MTHW02 
11th February 2002 17:00 to 17:30 
The enhancon made simple  
MTHW02 
12th February 2002 10:00 to 11:00 
Ktheory and charges  
MTHW02 
12th February 2002 11:30 to 12:00 
Intersecting branes: phenomenology and geometry  
MTHW02 
12th February 2002 12:00 to 12:30 
TBA  
MTHW02 
12th February 2002 14:30 to 15:00 
P West  Symmetries of MTheory 
MTHW02 
12th February 2002 15:00 to 15:30 
MaldacenaWilson loops  
MTHW02 
12th February 2002 16:00 to 16:30 
Conformal topological YangMills theory and de Sitter holography  
MTHW02 
12th February 2002 16:30 to 17:00 
Fractional branes and N = 1 gauge theories  
MTHW02 
13th February 2002 10:00 to 11:00 
M Douglas  Dbranes on CalabiYau manifolds 
MTHW02 
13th February 2002 11:30 to 12:00 
WZ solitons near the CMS  
MTHW02 
13th February 2002 12:00 to 12:30 
The Topological sector of the deconstructed sixdimensional theories  
MTHW02 
14th February 2002 10:00 to 11:00 
Conifolds in MTheory  
MTHW02 
14th February 2002 11:30 to 12:00 
The limits of uniqueness  
MTHW02 
14th February 2002 12:00 to 12:30 
Holographic renormalisation  
MTHW02 
14th February 2002 14:30 to 15:00 
I Brunner  Orientifolds of curved backgrounds: Geometry and CFT 
MTHW02 
14th February 2002 15:00 to 15:30 
Black holes on cylinders  
MTHW02 
14th February 2002 16:00 to 16:30 
E Kiritsis  NS5 brane distributions at weak coupling 
MTHW02 
14th February 2002 16:30 to 17:00 
Moduli spaces of supersymmetric solutions  
MTHW02 
15th February 2002 10:00 to 11:00 
N Berkovits  Covariant quantization of the superstring and supermembrane 
MTHW02 
15th February 2002 11:30 to 12:00 
Instanton corrections to circular Wilson loops in N=4 supersymmetric YangMills  
MTHW02 
15th February 2002 12:00 to 12:30 
Observables of string field theory  
MTHW02 
15th February 2002 14:30 to 15:00 
Probing black holes  
MTHW02 
15th February 2002 15:00 to 15:30 
Penrose limits and maximal supersymmetric solutions in string and Mtheories  
MTHW02 
15th February 2002 16:00 to 16:30 
A Klemm  N = 1 superpotentials and localisation 
MTHW02 
15th February 2002 16:30 to 17:00 
A little wand of deconstruction  
MTH 
19th February 2002 14:15 to 15:30 
Moduli stabilisation from fluxes  
MTH 
20th February 2002 17:00 to 17:30 
Video of "Horizion" programme on MTheory  
MTH 
21st February 2002 14:15 to 15:30 
Five dimensional supersymmetry and quaternionic structures  
MTH 
26th February 2002 14:15 to 15:30 
F Larsen  De Sitter holography and the cosmic microwave background 
MTH 
28th February 2002 14:15 to 15:30 
C Hull  De Sitter space, supergravity and MTheory 
MTH 
6th March 2002 11:30 to 12:30 
A Tseytlin  Superstrings in plane wave backgrounds 
MTH 
7th March 2002 14:15 to 15:30 
Monstrous branes  
MTH 
12th March 2002 14:15 to 15:30 
Domain walls in nine dimensions and their ten dimensional origin  
MTH 
14th March 2002 14:15 to 15:30 
M Marino  Towards vacuum superstring field theory 
MTH 
19th March 2002 14:15 to 15:30 
The big click: ekpyrosis by remote control in heterotic mtheory  
MTH 
21st March 2002 14:15 to 15:30 
String compactifications with background fluxes  
MTHW01 
25th March 2002 09:20 to 09:30 
Welcome by Deputy Director Dr. Robert Hunt  
MTHW01 
25th March 2002 09:30 to 11:00 
String / M Theory Compactification: An Overview  
MTHW01 
25th March 2002 11:30 to 13:00 
Introduction to derived categories and McKay correspondence (I)  
MTHW01 
25th March 2002 14:00 to 15:30 
Branes, Calibrations and Supergravity
We describe D=11 supergravity and define what is meant by a supersymmetric solution.
Manifolds with special holonomy provide examples as do membranes and fivebranes and the connection of the latter solutions with the AdS/CFT (antideSitter space/conformal
field theory) correspondence is mentioned. Switching to the worldvolume description of branes we discuss why branes wrapping calibrated cycles in special holonomy manifolds are supersymmetric and touch on the deformation theory of calibrations. A generalisation of calibrations relevant to D=11 supergravity is described. The last part of the lectures
explains how new supersymmetric solutions to D=11 supergravity can be found that describe branes wrapping calibrated cycles. The essential tool is D=7 gauged supergravity and we explain how this arises as the KaluzaKlein reduction of D=11 supergravity
on a foursphere. The new solutions provide new examples of the AdS/CFT correspondence.


MTHW01 
25th March 2002 16:00 to 17:00 
V Batyrev 
Toric Mirror Symmetry
The mirror symmetry attracts interest of mathematicians because it allows to identify mathematical objects of a very different nature: generating functions for GromovWitten invariants of rational curves on one CalabiYau manifold and power series expansions of special functions on periods of the mirror CalabiYau manifold. Many examples of this identification can be computed explicitly for CalabiYau hypersurfaces and complete intersections in toric Fano varieties. However, a rigorous mathematical proof of this identification is very nontrivial even in the simplest case of CalabiYau quintic 3folds. We propose a more elementary toric mirror symmetry test using the notion of toric residue and the intersection theory on some simplicial toric varieties which we call MorrisonPlesser moduli spaces.

MTHW01 
26th March 2002 09:30 to 11:00 
Branes, Calibrations and Supergravity  
MTHW01 
26th March 2002 11:30 to 13:00 
New Metrics with Special Holonomy  
MTHW01 
26th March 2002 14:00 to 15:30 
M Gross  Mirror Symmetry 
MTHW01 
26th March 2002 16:00 to 17:00 
Introduction to derived categories and McKay correspondence (II)  
MTHW01 
27th March 2002 09:30 to 11:00 
New Metrics with Special Holonomy  
MTHW01 
27th March 2002 11:30 to 13:00 
Constructing compact manifolds with exceptional holonomy
I introduce the exceptional holonomy groups G2 and Spin(7), and describe various constructions of compact 7manifolds with holonomy G2 and compact 8manifolds with holonomy Spin(7). The basic construction involves resolving the singularities of a torus orbifold T^n/G, for G a finite group preserving a flat G2 or Spin(7) structure on T^7 or T^8. But there are also other constructions involving CalabiYau 3folds and 4orbifolds.
Compact G2 manifolds are of interest to String Theorists as candidates for vacua in Mtheory.


MTHW01 
27th March 2002 14:00 to 14:10 
Unknown  
MTHW01 
27th March 2002 14:10 to 15:30 
Branes, Calibrations and Supergravity  
MTHW01 
27th March 2002 16:00 to 17:00 
Introduction to calibrated geometry
This is an introductory talk on minimal submanifolds and calibrated geometry, in particular special Lagrangian submanifolds in CalabiYau manifolds, associative and coassociative submanifolds in G2 manifolds, and Cayley submanifolds in Spin(7) manifolds. String Theorists know of these as supersymmetric cycles, classical versions of Dbranes. I shall focus on the work of Harvey and Lawson, and McLean, so most of what I have to say was known in 1990, and experts will already be familiar with it.


MTHW01 
28th March 2002 09:30 to 11:00 
Topological String Theory  
MTHW01 
28th March 2002 11:30 to 13:00 
M Gross  Mirror Symmetry 
MTHW01 
28th March 2002 14:00 to 15:30 
Introduction to derived categories and McKay correspondence (III)  
MTHW01 
28th March 2002 16:00 to 17:00 
New Metrics with special Holonomy  
MTHW01 
1st April 2002 09:30 to 11:00 
Exact results in supersymmetric field theory Wolfson Court  Fletcher Molton Room  
MTHW01 
1st April 2002 11:30 to 13:00 
Introduction to DBranes and boundary CFT  I Wolfson Court  Fletcher Molton Room
These lectures will aim at a pedagogical introduction to Dirichlet branes in string theory, and the associated conformal boundary states. I will cover in particular effective Dbrane actions, Dbranes in WZW models and other near horizon geometries, and their holographic interpretation.


MTHW01 
1st April 2002 14:00 to 15:30 
Exact results in supersymmetric field theory  
MTHW01 
1st April 2002 16:00 to 17:00 
Poster Session Wolfson Court  Law Library  
MTHW01 
2nd April 2002 09:30 to 11:00 
Topological string theory  
MTHW01 
2nd April 2002 11:30 to 13:00 
A Craw 
The Picard group and the cohomology of GHilb
For a finite Abelian subgroup G of SL(3,C), Ito and Nakajima established that the tautological line bundles base the Ktheory of GHilb, the Hilbert scheme of Gclusters. This talk will focus on the relations between these bundles in Pic(GHilb). As a consequence, a basis of the integral cohomology of GHilb is constructed, generalising work of GonzelezSprinberg and Verdier for G in SL(2,C). This construction will be illustrated by explicit examples.

MTHW01 
2nd April 2002 14:00 to 15:30 
Introduction to Homological Mirror Symmetry
A general discussion of homological mirror symmetry illustrated by the exposition of the ideas in the wellunderstood case of elliptic curves following Kontsevich and PolishchukZaslow


MTHW01 
2nd April 2002 16:00 to 17:00 
A Craw 
Stringy Hodge numbers and the McKay correspondence
For a finite subgroup G of SL(n,C), suppose that the quotient C^{n}/G admits a minimal resolution Y. The strong McKay correspondence established by V. Batyrev counts the dimension of the cohomology groups of Y in terms of certain conjugacy classes of G. Even if no such resolution exists, the stringy Hodge numbers of C^{n}/G, which are defined a priori via motivic integration, are also computed in terms of conjugacy classes of G. This talk will review the definition of stringy Hodge numbers, their relation with conjugacy classes of G and the McKay correspondence.

MTHW01 
3rd April 2002 09:30 to 11:00 
Topological string theory  
MTHW01 
3rd April 2002 11:30 to 12:30 
Singularities of special Lagrangian submanifolds
I describe a programme (work in progress) to study the singularities of special Lagrangian msubmanifolds (SL mfolds), particularly when m=3, and in a suitably generic (almost) CalabiYau 3fold. The first part of this programme is the construction and (to some extent) classification of singular SL mfolds in C^m, so I explain a number of constructions and examples.
The second part will be to use these examples as local models for singularities of SL 3folds in (almost) CalabiYau 3folds, using analytic methods. I give an outline of how I expect this to work. 

MTHW01 
3rd April 2002 14:00 to 15:30 
Moduli spaces of bundles over Riemann surfaces
The cohomology rings of the moduli spaces M(n,d) of stable holomorphic bundles of coprime rank n and degree d over a fixed compact Riemann surface have been studied for several decades. When n=2 we have a very thorough understanding of the structure of H*(M(n,d)), including an elegant presentation in terms of generators and relations. The aim of this talk is to describe a generalisation (not quite so elegant) of this presentation to n>2.


MTHW01 
3rd April 2002 16:00 to 17:15 
Special Lagrangian fibrations and the SYZ conjecture
After briefly describing Mirror Symmetry and the SYZ Conjecture, I discuss what kinds of singularities should be expected in special Lagrangian fibrations of generic (almost) CalabiYau 3folds, using the ideas of the previous lecture. I explain some analytical results on the existence and uniqueness of SL 3folds in C^3 invariant under a certain U(1)action, and with boundary conditions. Using these one can construct large families of U(1)invariant SL fibrations of subsets of C^3.
I describe the singular behaviour of these fibrations, and argue that some features of it also hold for generic, non U(1)invariant SL fibrations. In particular, generic SL fibrations will not be smooth, the singular fibres will be of codimension 1 in the base space, and each singular fibre will have only finitely many singular points. 

MTHW01 
3rd April 2002 20:00 to 00:00 
Conference Dinner  Magdalene College Pre dinner drinks from 19.30  Benson Hall  
MTHW01 
4th April 2002 09:30 to 11:00 
Derived Equivalences in Homological Mirror Symmetry
The discussion of the symmetries in homological mirror symmetry will be illustrated by examples due to Kontsevich, SeidelThomas, Horja and the speaker.


MTHW01 
4th April 2002 11:30 to 13:00 
Introduction to DBranes and boundary CFT  II
These lectures will aim at a pedagogical introduction to Dirichlet branes in string theory, and the associated conformal boundary states. I will cover in particular effective Dbrane actions, Dbranes in WZW models and other near horizon geometries, and their holographic interpretation.


MTHW01 
4th April 2002 14:00 to 15:30 
The YangMills stratification revisited
Much information about the topology of these moduli spaces M(n,d) can be obtained from the Morse stratification of the YangMills functional studied by Atiyah and Bott. However
for some purposes, and in particular to obtain a complete set of relations for H*(M(n,d)), the YangMills stratification has some unpleasant properties and it is better to use related
but different stratifications.


MTHW01 
4th April 2002 16:00 to 17:00 
Exact results in supersymmetric field theory  
MTHW01 
5th April 2002 09:30 to 11:00 
Exact results in supersymmetric field theory  
MTHW01 
5th April 2002 11:30 to 13:00 
Standard conjectures in Kahler geometry
We will give a survey of what is, on the one hand, known and, on the other hand, unknown but expected to be true, about KahlerEinstein, constant scalar curvature and extremal Kahler metrics. In the case of KahlerEinstein metrics on Fano varieties the picture is summed up by conjectures and results of Tian: if a manifold does not admit a KahlerEinstein metric there should be an associated "obstruction triple". At the formal level, at least, many of the ideas go over the case of constant scalar curvature (i.e. manifolds with arbritrary polarisation). We will give examples of the phenomena that occur and discuss the singularities that need to be allowed in the obstruction triple.


MTHW01 
5th April 2002 14:00 to 15:30 
Principal bundles on elliptic fibrations
In this talk we discuss the description of the moduli space of regularized principal Gbundles on an elliptic fibration X>S in terms of cameral covers and their distinguished Prym varieties. The analysis of these moduli spaces is a special case of a general abelianization result which also includes many wellknown integrable systems (Hitchin's, Markman's, Sklyanin's, ...) and has a range of other geometric applications.


MTHW01 
5th April 2002 16:00 to 17:00 
V Batyrev 
Testing toric mirror symmetry
The mirror symmetry attracts interest of mathematicians because it allows to identify mathematical objects of a very different nature: generating functions for GromovWitten invariants of rational curves on one CalabiYau manifold and power series expansions of special functions on periods of the mirror CalabiYau manifold. Many examples of this identification can be computed explicitly for CalabiYau hypersurfaces and complete intersections in toric Fano varieties. However, a rigorous mathematical proof of this identification is very nontrivial even in the simplest case of CalabiYau quintic 3folds. We propose a more elementary toric mirror symmetry test using the notion of toric residue and the intersection theory on some simplicial toric varieties which we call MorrisonPlesser moduli spaces.

MTHW01 
8th April 2002 09:30 to 11:00 
Heterotic/FTheory duality
The heterotic string compactified on an (n1)dimensional elliptically fibered CalabiYau Z>B is conjectured to be dual to Ftheory compactified on an ndimensional CalabiYau X>B, fibered over the same base with elliptic K3 fibers. In particular, the moduli of the two theories should be isomorphic. The cases most relevant to the physics are n=2, 3, 4, i.e. the compactification is to dimensions d=8, 6 or 4 respectively. Mathematically, the richest picture seems to emerge for n=3, where the moduli space involves an analytically integrable system whose fibers admit rather different descriptions in the two theories. The
purpose of this talk is to review some of what is known and what is not yet known about this conjectural isomorphism.


MTHW01 
8th April 2002 11:30 to 13:00 
M Douglas  DBranes, orbifolds and derived categories 
MTHW01 
8th April 2002 14:00 to 15:30 
B Acharya 
M theory, G2holonomy singularities and four dimensional physics
theory on a manifold X of G2holonomy is a natural framework for obtaining vacua
with four large spacetime dimensions and N=1 supersymmetry. The standard features of particle physics, namely nonAbelian gauge symmetries and chiral fermions, emerge from singularities of X. The aim of these lectures is to describe in detail how the above picture emerges. Along the way we will see how interesting aspects of strongly coupled gauge theories, such as confinement and mass gap, receive relatively simple explanations within the context of M theory.
All of the singularities of G2manifolds we discuss here are are constructed naturally from the familiar ADEsingularities. For instance, codimension seven singular points which support chiral fermions are obtained from a natural modification of the Kronheimer construction of ALEspaces. 
MTHW01 
9th April 2002 09:30 to 11:00 
B Acharya 
M theory, G2holonomy singularities and four dimensional physics
theory on a manifold X of G2holonomy is a natural framework for obtaining vacua
with four large spacetime dimensions and N=1 supersymmetry. The standard features of particle physics, namely nonAbelian gauge symmetries and chiral fermions, emerge from singularities of X. The aim of these lectures is to describe in detail how the above picture emerges. Along the way we will see how interesting aspects of strongly coupled gauge theories, such as confinement and mass gap, receive relatively simple explanations within the context of M theory.
All of the singularities of G2manifolds we discuss here are are constructed naturally from the familiar ADEsingularities. For instance, codimension seven singular points which support chiral fermions are obtained from a natural modification of the Kronheimer construction of ALEspaces. 
MTHW01 
9th April 2002 11:30 to 13:00 
Introduction to quantum periods  I
The aim of these lectures is to introduce semiinfinite analogue of variations of Hodge structures associated with families of various noncommutative objects (associative algebras, Ainfinity deformations of complex manifolds etc.) and to describe mirror symmetry formulas relating rational GromovWitten invariants of ndimensional CalabiYau manifolds with periods of semiinfinite variations of Hodge structures associated with noncommutative deformations of the mirror dual CalabiYau manifolds.


MTHW01 
9th April 2002 14:00 to 15:30 
Mirror symmetry and ABranes  
MTHW01 
9th April 2002 16:00 to 17:00 
Topological string theory  
MTHW01 
10th April 2002 09:30 to 11:00 
M Douglas  DBranes, orbifolds and derived categories 
MTHW01 
10th April 2002 11:30 to 13:00 
N Hitchin 
Invariant functionals
Manifolds with special holonomy are traditionally associated with the existence of parallel spinors, but CalabiYau threefolds and G2 manifolds also arise naturally in the context of a nonlinear form of Hodge theory: finding critical points of a natural functional defined on
the differential pforms in a fixed cohomology class. The advantage of this point of view is that it gives a natural approach to the moduli spaces of these structures, which appear as open sets in the appropriate cohomology group. (See "The geometry of threeforms in six dimensions", J. Differential Geometry 55 (2000), 547  576.)

MTHW01 
10th April 2002 14:00 to 15:30 
M Mustata  Introduction to motivic integration 
MTHW01 
10th April 2002 16:00 to 17:00 
B Acharya 
M theory, G2holonomy singularities and four dimensional physics
M theory on a manifold X of G2holonomy is a natural framework for obtaining vacua
with four large spacetime dimensions and N=1 supersymmetry. The standard features of particle physics, namely nonAbelian gauge symmetries and chiral fermions, emerge from singularities of X. The aim of these lectures is to describe in detail how the above picture emerges. Along the way we will see how interesting aspects of strongly coupled gauge theories, such as confinement and mass gap, receive relatively simple explanations within the context of M theory.
All of the singularities of G2manifolds we discuss here are are constructed naturally from the familiar ADEsingularities. For instance, codimension seven singular points which support chiral fermions are obtained from a natural modification of the Kronheimer construction of ALEspaces. 
MTHW01 
11th April 2002 09:30 to 11:00 
B Acharya 
M theory, G2holonomy singularities and four dimensional physics
M theory on a manifold X of G2holonomy is a natural framework for obtaining vacua
with four large spacetime dimensions and N=1 supersymmetry. The standard features of particle physics, namely nonAbelian gauge symmetries and chiral fermions, emerge from singularities of X. The aim of these lectures is to describe in detail how the above picture emerges. Along the way we will see how interesting aspects of strongly coupled gauge theories, such as confinement and mass gap, receive relatively simple explanations within the context of M theory.
All of the singularities of G2manifolds we discuss here are are constructed naturally from the familiar ADEsingularities. For instance, codimension seven singular points which support chiral fermions are obtained from a natural modification of the Kronheimer construction of ALEspaces. 
MTHW01 
11th April 2002 11:30 to 13:00 
N Hitchin 
Cohomogeneity one metrics
Manifolds with Killing spinors can also be approached through differential forms via a constrained variational problem, and associated gradient or Hamiltonian flows give effective ways of finding cohomogeneity one metrics with holonomy G2 or Spin(7). (See "Stable forms and special metrics", in ``Global Differential Geometry: The Mathematical Legacy of Alfred Gray", M. Fernandez and J. A. Wolf (eds.), Contemporary Mathematics 288, American Mathematical Society, Providence (2001).)

MTHW01 
11th April 2002 14:00 to 15:30 
N Hitchin 
Generalised CalabiYau manifolds
A similar variational problem for forms of mixed degree in 6 dimensions gives a structure whose moduli space is an open set in the even or odd cohomology. We call this structure a "generalized CalabiYau manifold". The moduli problem here involves not just the diffeomorphism group, but also the action of the socalled Bfield.

MTHW01 
11th April 2002 16:00 to 17:00 
S Gukov  Duality and Fibrations on G$\_$2 Manifolds 
MTHW01 
12th April 2002 09:30 to 11:00 
KTheory  I  
MTHW01 
12th April 2002 11:30 to 13:00 
S Gukov  Fluxes, Superpotential, and Calibrated Geometry 
MTHW01 
12th April 2002 14:00 to 15:30 
M Douglas  DBranes, orbifolds and derived categories 
MTHW01 
12th April 2002 16:00 to 17:00 
Introduction to quantum periods  II
The aim of these lectures is to introduce semiinfinite analogue of variations of Hodge structures associated with families of various noncommutative objects (associative algebras, Ainfinity deformations of complex manifolds etc.) and to describe mirror symmetry formulas relating rational GromovWitten invariants of ndimensional CalabiYau manifolds with periods of semiinfinite variations of Hodge structures associated with noncommutative deformations of the mirror dual CalabiYau manifolds.


MTHW01 
15th April 2002 09:30 to 11:00 
KTheory  II  
MTHW01 
15th April 2002 11:30 to 13:00 
A Kovalev 
From Fano 3folds to compact G$\_$2manifolds
G2manifolds are 7dimensional Riemannian manifolds whose metrics have holonomy group G2. They are necessarily Ricciflat and carry parallel spinor fields. In this talk I will explain a systematic way to construct examples of compact G2manifolds by gluing a pair of asymptotically cylindrical manifolds of holonomy SU(3) at their ends. To obtain the latter SU(3)manifolds one starts from complex 3dimensional projective manifolds with $c_1>0$ (Fano 3folds) endowed with an appropriate choice of the anticanonical K3 divisor. The
resulting G2manifolds are topologically distinct from those previously obtained by Joyce.

MTHW01 
15th April 2002 14:00 to 15:30 
String/M compactifications and duality  
MTHW01 
15th April 2002 16:00 to 17:00 
Hermitian symmetric domains and CalabiYau manifolds
It is well known that the moduli space of lattice polarized K3 surfaces is isomorphic to an arithmetic group quotient of a Hermitian symmetric domain of type IV. There is only a few of examples of moduli spaces of CalabiYau higherdimensional manifolds which are arithmetic quotients of Hermitian symmetric domains. In this talk we shall discuss some of these examples, and will speculate about their possible generalizations.


MTHW01 
16th April 2002 09:30 to 11:00 
Non supersymmetric orbifolds  I  
MTHW01 
16th April 2002 11:30 to 13:00 
McKay correspondence for symplectic singularities
McKay correspondence predicts the cohomology groups of a crepant resolution of the quotient $X=V/G$ of a vector space $V$ by a finite group $G \subset SL(V)$. We will consider the case when the vector space is symplectic, and the group preserves the
symplectic form. We will prove the McKay correspondence conjecture and give some speculations about the multiplicative structure in the cohomology ring.


MTHW01 
16th April 2002 14:00 to 15:30 
String/M compactification and duality  
MTHW01 
16th April 2002 16:00 to 17:00 
J Sawon  RozaanskyWitten invariants and extended TQFT 
MTHW01 
17th April 2002 09:30 to 11:00 
String / M compactification and duality  
MTHW01 
17th April 2002 11:30 to 13:00 
Representations of the McKay quiver and variation of GIT quotients
Let G be a finite (abelian) subgroup of SL(3, C). We consider the moduli of representations of the McKay quiver of G (satisfying the commutativity condition), or equivalently the moduli of certain Gequivariant coherent sheaves on C^3 which we call Gconstellations. This moduli space depends on a GITstability parameter $\theta$ and for a particular $\theta$, the moduli space coincides with GHilb.


MTHW01 
17th April 2002 14:00 to 15:30 
Large Complex Structure limits of K3 surfaces
This talk is based on joint work with Mark Gross, published in J. Diff. Geom. 55 (2000), 475  546. Motivated by the SYZ picture of mirror symmetry, the authors had made a conjecture concerning the GromovHausdorff limits of CalabiYau $n$folds (with Ricciflat K\"ahler metric) as one approaches a large complex structure limit
point in moduli; a similar conjecture was made independently by
Kontsevich, Soibelman and Todorov. Roughly stated, the conjecture says
that, if the metrics are normalized to have constant diameter, then this
limit is the base of the conjectural special lagrangian torus fibration
associated with the large complex structure limit, namely an $n$sphere,
and that the metric on this $S^n$ is induced from a standard (singular)
Riemannian metric on the base, the singularities of the metric
corresponding to the discriminant locus of the fibration.
This conjecture is trivially true for elliptic curves; in this talk I'll describe its proof for K3 surfaces. Using the standard description of mirror symmetry for K3 surfaces and the hyperk\"ahler rotation trick, we reduce the problem to that of studying K\"ahler degenerations of elliptic K3 surfaces, with the K\"ahler class approaching the wall of the K\"ahler cone corresponding to the fibration and the volume normalized to be one. Here we are able to write down a remarkably accurate approximation to the Ricciflat metric  if the elliptic fibres are of area $\epsilon >0$, then the error is $O(e^{C/\epsilon})$ for some constant $C>0$. This metric is obtained by gluing together a semiflat metric on the smooth part of the fibration with suitable OoguriVafa metrics near the singular fibres. For small $\epsilon$, this is a sufficiently good approximation that the above conjecture is then an easy consequence. 

MTHW01 
17th April 2002 16:00 to 17:00 
TBA  
MTHW01 
18th April 2002 09:30 to 11:00 
String / M compactification and duality  
MTHW01 
18th April 2002 11:30 to 13:00 
A time dependent background in string theory  
MTHW01 
18th April 2002 14:00 to 15:30 
M Verbitsky 
Stability of FourierMukai transform
Let $M$ be a K3 surface, $B$ a stable bundle on $M$, and $X$ the coarse moduli of stable deformations of $B$. The FourierMukai transform is a functor $FM:\; D_b(M) \arrow D_b(X)$, where $D_b(M)$, $D_b(X)$ denotes the derived category of coherent sheaves on $M$, $X$.
Consider a stable bundle $B_1$ on $M$, and let $FM(B_1)$ be the corresponding complex of coherent sheaves on $X$. Assume $X$ is compact. It was conjectured that the cohomology of the complex $FM(B_1)$ are polystable sheaves on $X$. This conjecture is known when the bundles $B$, $B_1$ have zero degree. We prove it for arbitrary stable bundles $B$, $B_1$. The proof uses hyperkaehler geometry. A projectivization of a stable bundle on a K3 surface is hyperholomorphic, that is, holomorphic with respect to any complex structure induced by the hyperkaehler structure. Such bundles are called projectively hyperholomorphic. We prove that a pushforward of a projectively hyperholomorphic bundle has projectively hyperholomorphic cohomology. Projectively hyperholomorphic bundles are stable; therefore, a pushforward of a projectively hyperholomorphic bundle is has stable cohomology. 
MTHW01 
18th April 2002 16:00 to 17:00 
TBA  
MTHW01 
19th April 2002 09:30 to 11:00 
TBA  
MTHW01 
19th April 2002 11:30 to 13:00 
Aspects of mirror symmetry  
MTHW01 
19th April 2002 14:00 to 15:30 
Aspects of mirror symmetry  
MTHW01 
19th April 2002 16:00 to 17:00 
On hyperbolic KacMoody algebras of Borcherds type and applications  
MTH 
23rd April 2002 14:15 to 15:30 
Dbrane probes and closed string tachyons in flux brane backgrounds  
MTH 
25th April 2002 14:15 to 15:30 
NS5branes, Tduality and worldsheet instantons  
MTH 
30th April 2002 14:15 to 15:30 
de Sitter space in (stringy) supergravity  
MTH 
2nd May 2002 11:00 to 12:30 
S Kachru  New phenomena in string compactifications with flux 
MTH 
2nd May 2002 14:15 to 15:30 
Clean timedependent string backgrounds from bubble baths  
MTH 
7th May 2002 14:15 to 15:15 
An Mtheory unification of the deformed and resolved conifolds  
MTH 
9th May 2002 14:15 to 15:15 
The spectra of PPwave limits of M/Superstring theory compactified over spheres and holography  
MTH 
14th May 2002 14:15 to 15:15 
Dbrane stability and monodromy  
MTH 
16th May 2002 11:30 to 12:30 
Introduction to derived categories for physicists  
MTH 
16th May 2002 14:15 to 15:15 
M Cvetic  Standard model and GUT's from orientifolds and $G_2$ holonomy 
MTH 
21st May 2002 14:15 to 15:15 
A Peet  Sbranes 
MTH 
23rd May 2002 14:15 to 15:15 
Branes and vacua in open string field theory  
MTH 
28th May 2002 14:15 to 15:15 
D Freedman  Perturbative gauge theory and string interactions 
MTH 
30th May 2002 14:15 to 15:15 
Tachyon condensation and black hole entropy  
MTH 
5th June 2002 14:15 to 15:15 
K Skenderis  Brane in AdS and ppwave spacetimes 
MTH 
6th June 2002 14:15 to 15:15 
A Hanany  Toric duality, Seiberg duality and PicardLefshetz transformations 
MTH 
7th June 2002 15:00 to 16:00 
P Di Vecchia  W=1 and N=2 refer YangMills theories from wrapped branes 
MTH 
11th June 2002 14:15 to 15:15 
Anti de Sitter branes and holography  
MTH 
13th June 2002 14:15 to 15:15 
Borcherds dualities in supergravities  
MTH 
18th June 2002 14:15 to 15:15 
N Warner  N=1 holographic R.G fixed points and their Penrose limits 
MTH 
20th June 2002 14:15 to 15:15 
T Banks  de Sitter space and supersymmetry breaking 
MTH 
25th June 2002 15:30 to 16:30 
Worldsheet derivation of a large $N$ duality  
MTH 
27th June 2002 14:15 to 15:15 
Tachyon dynamics  
MTH 
3rd July 2002 14:15 to 15:15 
NA Nekrasov  SeibergWitten prepotential from instanton counting 
MTH 
4th July 2002 14:15 to 15:15 
Colliding KaluzaKlein bubbles  
MTH 
9th July 2002 14:15 to 15:15 
Black hole formation at high energies  
MTH 
10th July 2002 14:15 to 15:15 
J Maldacena  Introduction to ppwaves 
MTH 
11th July 2002 16:30 to 17:30 
J Maldacena  Introduction to ppwaves 