Elliptic cohomology and chromatic chenomena & higher chromatic phenomena

Workshop theme

Supported by the European Commission, Research DG, Human Potential Programme, High-Level Scientific Conferences - HPCF-2001-00105

This EuroWorkshop will bring together the many disparate directions of research on elliptic genera and cohomology. These include: topological modular forms, obstruction theory technology, the enriched Witten genus, homotopical level structures, the Waldhausen K-theory of topological K-theory, equivariance and rigidity, twisted K-theory and the Verlinde algebra, the chiral de Rham complex, fundamental classes of algebraic varieties, orbifold genera, index theory on loop spaces, elliptic phenomena in physics, and moonshine representation theory.

The principal objective will be to make connections between these developments, and speakers will be encouraged to bridge the gaps between them.

Applications for this workshop are now closed

Timetable

Monday 9th December 2002
08:15 to 09:00	Registration	No Room Required
09:00 to 10:00	Mike Hopkins Acclarogen Limited Topological aspects of elliptic cohomology	Room 1
10:00 to 11:00	John Rognes University of Oslo Two-vector bundles and elliptic objects	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Stephan Stolz University of Notre Dame The spinor bundle on the free loop space	Room 1
17:30 to 18:30	Wine \& Beer Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Tuesday 10th December 2002
09:00 to 10:00	Ian Grojnowski Hilbert schemes and integrable system: the cohomology ring of a compactification of configuration space	Room 1
10:00 to 11:00	Paul Goerss Northwestern University The tangent complex for the moduli stack of formal groups	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	What is an elliptic object?	Room 1
16:30 to 17:30	Geoff Mason Orbifold conformal field theory and cohomology of the monster	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Wednesday 11th December 2002
09:00 to 10:00	Algebraic groups and equivariant cohomology theories	Room 1
10:00 to 11:00	Dan Freed Loop groups and twisted K-theory	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Greg Moore On the M-theory action on a manifold with boundary	Room 1
16:30 to 17:30	Vassily Gorbounov University of Kentucky Gerbes of chiral differential operators	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Thursday 12th December 2002
09:00 to 10:00	Neil Strickland University of Sheffield Equivariant veresion of elliptic spectra	Room 1
10:00 to 11:00	Gerd Laures Ruprecht-Karls-Universität Heidelberg K(1)-local topological modular forms, the Witten orientation and E_\infty cellular structures	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Charles Rezk University of Illinois Hecke operators and logarithmic cohomology operations	Room 1
16:30 to 17:30	The elliptic genus of a singular variety	Room 1
19:45 to 00:00	Conference Dinner at Trinity Hall	No Room Required

Friday 13th December 2002
09:00 to 10:00	Matthew Ando University of Illinois at Urbana-Champaign Elliptic genera and Thom classes	Room 1
10:00 to 11:00	Jack Morava Johns Hopkins University Complex orientations and Motivic Galois theory	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Cohomology of the stable mapping class group	Room 1
16:30 to 17:30	Discussion Session	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Monday 16th December 2002
10:00 to 11:00	Goro Nishida Kyoto University A note on Hopkins-Kuhn-Ravenel character Talk being held in the CMS - Wolfson Room	No Room Required
11:00 to 11:30	Coffee at the Isaac Newton Institute	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Charles Thomas University of Cambridge Spin bordism, contact structure and the cohomology of p-groups? Talk being held in the CMS - Wolfson Room	No Room Required
15:00 to 15:30	Tea at the Isaac Newton Institute	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Tuesday 17th December 2002
10:00 to 11:00	Hans-Werner Henn Resolutions of the K(2) - local sphere Talk being held in the CMS - Wolfson Room	No Room Required
11:00 to 11:30	Coffee at the Isaac Newton Institute	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea at the Isaac Newton Institute	No Room Required
15:30 to 16:30	Jorge Devoto What are the elliptic objects of K3 cohomology Talk being held in the CMS - Wolfson Room	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Wednesday 18th December 2002
10:00 to 11:00	Douglas Ravenel University of Rochester Towards higher chromatic analogues of elliptic cohomology: curves with high formal group laws. Talk being held in the CMS - Wolfson Room	No Room Required
11:00 to 11:30	Coffee at the Isaac Newton Institute	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea at the Isaac Newton Institute	No Room Required
15:30 to 16:30	Norihiko Minami Nagoya Institute of Technology Hierarchy of morava K-theories? Talk being held in the CMS - Wolfson Room	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Thursday 19th December 2002
10:00 to 11:00	Andrew (Andy) Baker University of Glasgow Gamma-cohomology and $E-infinity$ structures on some periodic spectra Talk being held in the CMS - Wolfson Room	No Room Required
11:00 to 11:30	Coffee at the Isaac Newton Institute	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea at the Isaac Newton Institute	No Room Required
15:30 to 16:30	Keith Johnson Dalhousie University Cooperations in elliptic homology and E(n) homology Talk being held in the CMS - Wolfson Room	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Friday 20th December 2002
10:00 to 11:00	Michael Mandell University of Chicago E-infinity maps between Spanier-Whitehead duals Talk being held in the CMS - Wolfson Room	No Room Required
11:00 to 11:30	Coffee at the Isaac Newton Institute	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
15:00 to 15:30	Tea at the Isaac Newton Institute	No Room Required
15:30 to 16:30	Gabriele Vezzosi Università di Bologna An idea of homotopical algebraic geometry Talk being held in the CMS - Wolfson Room	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Speakers

Matthew Ando University of Illinois at Urbana-Champaign
Andrew (Andy) Baker University of Glasgow
Jorge Devoto
Dan Freed
Paul Goerss Northwestern University
Vassily Gorbounov University of Kentucky
Ian Grojnowski
Hans-Werner Henn
Mike Hopkins Acclarogen Limited
Keith Johnson Dalhousie University
Gerd Laures Ruprecht-Karls-Universität Heidelberg
Michael Mandell University of Chicago
Geoff Mason
Norihiko Minami Nagoya Institute of Technology
Greg Moore
Jack Morava Johns Hopkins University
Goro Nishida Kyoto University
Douglas Ravenel University of Rochester
Charles Rezk University of Illinois
John Rognes University of Oslo
Stephan Stolz University of Notre Dame
Neil Strickland University of Sheffield
Charles Thomas University of Cambridge
Gabriele Vezzosi Università di Bologna

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Elliptic cohomology and chromatic chenomena & higher chromatic phenomena

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

Supported By

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