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

HDG 
6th February 2002 15:00 to 16:00 
HDG Organisational Meeting  
HDG 
7th February 2002 14:00 to 15:30 
Quantum cohomology of Grassmannians and a conjecture of Knutson  
HDG 
7th February 2002 16:00 to 17:00 
$\chi$  connectedness of Hom and symplectic contractions of 4folds  
HDG 
8th February 2002 10:00 to 11:00 
3fold flips after Shokurov: an overview I  
HDG 
8th February 2002 11:30 to 12:30 
3fold flips after Shokurov: an overview II  
HDG 
8th February 2002 14:00 to 15:00 
Torsion in the cohomology of a Lie group G, and Gbundles in algebraic geometry  
HDG 
14th February 2002 10:00 to 11:00 
Seminar on flips  
HDG 
14th February 2002 11:30 to 12:30 
Seminar on flips  
HDG 
14th February 2002 14:00 to 15:00 
Seminar on flips  
HDG 
14th February 2002 15:30 to 16:30 
Seminar on flips  
HDG 
21st February 2002 10:00 to 11:00 
Seminar on flips: bounded lca saturated pbd algebras are finitely generated I  
HDG 
21st February 2002 11:30 to 12:30 
Seminar on flips: bounded lca saturated pbd algebras are finitely generated II  
HDG 
21st February 2002 14:30 to 15:30 
N ShepherdBarron  Stably rational irrational varieties: the Beauville et al. examples revisited 
HDG 
22nd February 2002 10:00 to 11:00 
J McKernan  Seminar on flips: canonical boundedness I 
HDG 
22nd February 2002 11:30 to 12:30 
J McKernan  Seminar on flips: canonical boundedness II 
HDG 
22nd February 2002 14:30 to 15:30 
D Matsushita  Fujiki relation and fibre space structures on symplectic varieties 
HDG 
28th February 2002 10:00 to 11:00 
Seminar on flips: approximation and stabilisation 1  
HDG 
28th February 2002 11:30 to 12:30 
Seminar on flips: approximation and stabilisation 2  
HDG 
28th February 2002 14:30 to 15:30 
Research lecture: the indeterminacy locus of the Prym map  
HDG 
1st March 2002 10:00 to 11:00 
Seminar on flips: approximation and stabilisation 3  
HDG 
1st March 2002 11:30 to 12:30 
Seminar on flips: approximation and stabilisation 4  
HDG 
1st March 2002 14:30 to 15:30 
CL Schoen  Research lecture: TBA 
HDG 
7th March 2002 10:00 to 11:00 
Seminar on flips: approximation and stabilisation 3  
HDG 
7th March 2002 11:30 to 12:30 
Seminar on flips: approximation and stabilisation 4  
HDG 
7th March 2002 16:00 to 17:15 
R Thomas  Research lecture: Nodes, mirror symmetry \& symplectic manifolds with c\_1=0 
HDG 
8th March 2002 10:00 to 11:00 
Seminar on flips: destabilisation and nonklt, case 1  
HDG 
8th March 2002 11:30 to 12:30 
Seminar on flips: destabilisation and nonklt, case 2  
HDG 
8th March 2002 14:30 to 15:30 
Prym varieties of Weyl group actions  
HDG 
14th March 2002 10:00 to 11:00 
Seminar on flips: destabilisation and nonklt case 3  
HDG 
14th March 2002 11:30 to 12:30 
Seminar on flips: destabilisation and nonklt case 4  
HDG 
14th March 2002 14:30 to 15:30 
Research seminar: a canonical bundle formula and its applications  
HDG 
15th March 2002 10:00 to 11:00 
Seminar on flips: the main result 1  
HDG 
15th March 2002 11:30 to 12:30 
Seminar on flips: the main result 2  
HDG 
15th March 2002 14:30 to 15:30 
Research seminar:  
HDG 
20th March 2002 14:30 to 15:30 
Research lecture: cone and contraction theorems for log varieties  
HDG 
20th March 2002 16:00 to 17:00 
J McKernan  Research lecture: boundedness of log Fano pairs of bounded index 
HDG 
21st March 2002 10:00 to 11:00 
Seminar on flips: the main result 3  
HDG 
21st March 2002 11:30 to 12:30 
Seminar on flips: the main result 4  
HDG 
21st March 2002 14:30 to 15:30 
Research lecture: graded rings and Fano 3folds  
HDG 
21st March 2002 16:00 to 17:00 
Research lecture: on the McKay correspondence for quotient surface singularities  
HDG 
22nd March 2002 14:30 to 15:30 
V Batyrev  Research lecture: toric residues and mirror symmetry 
HDG 
22nd March 2002 16:00 to 17:00 
Research lecture: some examples of flops  
HDG 
25th April 2002 14:30 to 15:30 
J McKernan  The CCS conjecture: renamed, revised and revisited 
HDG 
25th April 2002 16:30 to 17:30 
A pencil of CalabiYau threefolds coming from the A$_4$ root lattice  
HDG 
30th April 2002 16:15 to 17:15 
C Schoen  The singular cohomology of certain 3folds I 
HDG 
2nd May 2002 17:00 to 18:00 
Graded rings and Hilbert series in Magma II: the big K3 database  
HDG 
3rd May 2002 14:30 to 15:30 
C Schoen  The singular cohomology of certain 3folds II 
HDG 
8th May 2002 16:15 to 17:15 
Noncommutative surfaces 1  
HDG 
9th May 2002 16:00 to 17:00 
Degenerations of CalabiYau varieties I  
HDG 
10th May 2002 14:30 to 15:30 
Graded rings and Hilbert series in Magma III  
HDG 
10th May 2002 16:00 to 17:00 
Noncommutative surfaces 2  
HDG 
16th May 2002 14:30 to 15:30 
J Sawon  Twisted FourierMukai transforms for irreducible holomorphic symplectic manifolds 
HDG 
16th May 2002 16:00 to 17:00 
Degenerations of CalabiYau varieties II  
HDG 
17th May 2002 14:30 to 15:30 
Rationally connected varieties over finite fields  
HDG 
17th May 2002 16:00 to 17:00 
Noncommutative surfaces III  
HDG 
24th May 2002 14:30 to 15:30 
Deformations of Picard bundles  
HDG 
24th May 2002 16:00 to 17:00 
Degenerations of CalabiYau III  
HDG 
30th May 2002 14:30 to 15:30 
Real enumerative geometry  
HDG 
30th May 2002 16:00 to 17:00 
TBA  
HDG 
31st May 2002 14:00 to 15:30 
Smooth superrigid hypersurfaces according to Pukhlikov  
HDG 
6th June 2002 16:00 to 17:00 
Exterior algebra methods for syzygies  
HDG 
7th June 2002 14:30 to 15:30 
Two applications of instanton numbers  
HDG 
7th June 2002 16:00 to 17:00 
Lifting extremal rays from ample sections  
HDG 
12th June 2002 16:00 to 17:00 
Threefold divisorial contractions that contract a divisor onto a curve  
HDG 
13th June 2002 14:30 to 15:30 
Divisors on moduli of abelian fourfolds: the scenic route  
HDG 
13th June 2002 16:00 to 17:00 
Differential forms on varieties of general type  
HDG 
14th June 2002 14:30 to 15:30 
F Zucconi  Adjunction techniques and the regulator after Collino 
HDG 
14th June 2002 16:00 to 17:00 
On a classical correspondence between K3 surfaces  
HDG 
18th June 2002 14:50 to 15:50 
Oort's conjecture for the moduli space of abelian varieties  
HDG 
18th June 2002 16:00 to 17:00 
Deformations of CalabiYau hypersurfaces  
HDG 
19th June 2002 14:30 to 15:30 
The Mori cones of moduli spaces of pointed curves  
HDG 
19th June 2002 16:00 to 17:00 
Degenerations of holomorphic symplectic varieties  
HDG 
20th June 2002 14:30 to 15:30 
Asymptotic invariants of baseloci and in vitro linear series  
HDG 
20th June 2002 16:00 to 17:00 
Covering collections of curves and visibility of Sha  
HDG 
21st June 2002 14:30 to 15:30 
Hyperk\"ahler metrics on cotangent bundles of K\"ahler manifolds  
HDG 
21st June 2002 16:00 to 17:00 
A Libgober  Elliptic genera of orbifolds 
HDGW02 
24th June 2002 09:50 to 10:00 
Welcome by Director  
HDGW02 
24th June 2002 10:00 to 11:00 
Minimal models and derived categories  
HDGW02 
24th June 2002 11:30 to 12:30 
$\pi$stability and tstructures on K3 surfaces  
HDGW02 
24th June 2002 14:00 to 15:00 
On an example of Vafa and Witten, or how to get rid of discrete torsion
In 1994 Vafa and Witten studied an example of a smooth string theory, whose central feature was that it appeared that it had to be compactified on a singular CalabiYau 3fold; a number of ordinary double points seemed unavoidable, and could not be removed in the physical context either by deformation or by blowing up. Subsequently, Aspinwall, Morrison and Grosssuggested that these singularities were intricately related to the existence
of a nontrivial element of the Brauer group of this singular space.
We explain how all these ideas come together in a very clear picture, and present a way of removing the singularities by moving to an entirely new space. We also discuss how this could in principle be used in general to get rid of discrete torsion, by way of the SYZ conjecture. Most of the talk is at a relatively elementary level, requiring no knowledge of string theory. 

HDGW02 
24th June 2002 15:30 to 16:30 
The generic Green conjecture for curves of even genus on a K3 surface  
HDGW02 
24th June 2002 16:30 to 17:30 
Aspects of mirror symmetry on K3 surfaces  
HDGW02 
25th June 2002 09:00 to 10:00 
Some local applications of multiplier ideals  
HDGW02 
25th June 2002 10:00 to 11:00 
P Hacking  Compact moduli of plane curves 
HDGW02 
25th June 2002 11:30 to 12:30 
Stable reductive varieties (joint with Valery Alexeev)  
HDGW02 
25th June 2002 14:00 to 15:00 
Affine manifolds and mirror symmetry  
HDGW02 
25th June 2002 15:30 to 16:30 
Special varieties and classification theory
Lang's conjectures link geometric, hyperbolic and arithmetic properties of
projective complex varieties of general type. We propose here an extension
of these conjectures to an arbitrary projective manifold X.
This extension rests on the notion of "special" variety. This class contains rationally connected manifolds and those with kappa = 0. Moreover, we construct the "core" of any X, a fibration c_X: X > C(X) having general fibre a special variety and base conjecturally and of orbifold general type. This fibration seems to permit to decompose X according to the dichotomy "special" versus "general type", and leads not only to the above mentioned extension of Lang's conjectures, but also to a simple global view of classification theory. 

HDGW02 
26th June 2002 09:00 to 10:00 
Orbifold cohomology and orbifold Chow ring  
HDGW02 
26th June 2002 10:00 to 11:00 
F Loeser  Birational geometry of degenerations and Serre's invariant 
HDGW02 
26th June 2002 11:30 to 12:30 
Quaternionic Prym varieties and Hodge classes  
HDGW02 
26th June 2002 14:00 to 15:00 
The NoetherLefschetz locus  a second order invariant  
HDGW02 
27th June 2002 09:00 to 10:00 
The importance of being Qfactorial  
HDGW02 
27th June 2002 10:00 to 11:00 
Rationally connected varieties  
HDGW02 
27th June 2002 11:30 to 12:30 
On Shokurov's plflips  
HDGW02 
27th June 2002 14:00 to 15:00 
Unprojections  
HDGW02 
27th June 2002 15:30 to 16:30 
Generic projections  
HDGW02 
27th June 2002 16:30 to 17:30 
NI ShepherdBarron  Smoothness of slightly ramified deformations via tangent lifting 
HDGW02 
28th June 2002 10:00 to 11:00 
F Schreyer  Real forms of $V_{22}$ Fano 3folds 
HDGW02 
28th June 2002 11:30 to 12:30 
Stable bundles, difference varieties and divisors on moduli spaces of curves
We do global calculations on moduli spaces of pointed curves to
prove the "Minimal Resolution Conjecture" about the graded Betti
numbers of general sets of points on any nonhyperelliptic canonically
embedded curve. Our results have surprising connections with moduli
spaces of vector bundles on curves, difference varieties in Jacobians
and geometric divisors on moduli spaces of pointed curves.
Among other things we show that for any curve C, if Q denotes the normal bundle of C in is Jacobian then all exterior powers of Q have a theta divisor which is identified with a suitable difference variety. This answers positively a conjecture of Lazarsfeld. Interest in these bundles comes from Green's conjecture on syzygies of canonical curves which boils down to computing the number of sections of all exterior powers of Q. 

HDGW02 
28th June 2002 14:00 to 15:00 
Regularity on abelian varieties  
HDGW02 
28th June 2002 15:30 to 16:30 
S Mukai  Invariant ring and birational geometry related with the Verlinde formula 
HDG 
1st July 2002 14:30 to 15:30 
T Yasuda  Twisted jet and orbifold cohomology 
HDG 
4th July 2002 14:30 to 15:30 
When is every coherent sheaf a quotient of some vector bundle? (a positive result for orbifolds)  
HDG 
5th July 2002 16:00 to 17:00 
The topology of crepant resolutions of CalabiYau orbifolds  
HDG 
9th July 2002 16:00 to 17:00 
C van Enckevort  Dbrane categories on higher dimensional tori 
HDG 
11th July 2002 14:30 to 15:30 
Elliptic and K3 fibrations birational to Fano 3fold hypersurfaces I  
HDG 
12th July 2002 14:30 to 15:30 
Elliptic and K3 fibrations birational to Fano 3fold hypersurfaces II 