Workshop on Forms of Homotopy Theory: Elliptic Cohomology and Loop Spaces

September 27 - October 2, 2004, The Fields Institute

Location: Fields Institute, Room 230

Description

The focus of the conference is recent progress in homotopy theory related to string theory, particularly elliptic cohomology and the topology of loop spaces. Along the way we will celebrate the influence of Jack Morava, on the occasion of his 60th birthday.

Confirmed Speakers:

Mark Behrens (MIT)
David Ben-Zvi (Texas)
Michael Ching (MIT)
Ralph Cohen (Stanford)
Nora Ganter (MIT)
Veronique Godin (Stanford)
Paul Goerss (Northwestern)
Vassily Gorbounov (Kentucky)
Michael Hopkins (MIT)
Po Hu (Wayne State)
Mikhail Kapranov (Yale)
Nitu Kitchloo (Johns Hopkins)
Igor Kriz (Michigan)
Jacob Lurie (MIT)

James McClure (Purdue)
Goro Nishida (Kyoto)
Charles Rezk (UIUC)
Eric Sharpe (UIUC)
Andrew Stacey (NTNU, Trondheim)
Stephan Stolz (Notre Dame)
Dennis Sullivan (SUNY Stonybrook)
Constantin Teleman (Cambridge)
Hirotaka Tamanoi (UC Santa Cruz)
Takeshi Torii (Fukuoka, Japan)

Funding

The organizers have applied to the US National Science Foundation for funds to support travel to this conference. Please note that as funds are limited, priority will be given to recent, US-based PhD's and graduate students. Minority and female candidates are particularly encouraged to apply. (Please note: airfare must be on a US carrier in order to be reimbursed.)

Mailing List

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Schedule

Monday, September 27th, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	The intersection pairing for PL chains, with applications to string topology James McClure, Purdue University
10:30 to 11:00	Coffee Break
11:00 to 12:00	Twistings in Gromov-Witten theory Constantin Teleman, Cambridge University
12:00 to 13:30	Break for Lunch
13:30 to 14:30	Mirror symmetry formula for elliptic genus of some Fano varieties Vassily Gorbounov, University of Kentucky
14:30 to 15:00	Coffee Break
15:00 to 16:00	Operadic bar constructions and the Goodwillie derivatives of the identity Michael Ching, Amherst College
16:00 to 16:30	Coffee Break
16:30 to 17:30	Degeneration of formal groups and generalized Chern characters Takeshi Torii, Fukuoka University

Tuesday, September 28th, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	Floer homology for ind-schemes Mikhail Kapranov, University of Toronto
10:30 to 11:00	Coffee Break
11:00 to 12:00	Buildings for Kac-Moody groups Nitu Kitchloo, Johns Hopkins University
12:00 to 13:30	Break for Lunch
13:30 to 14:30	Decomposition of orbifold mapping spaces and geometric Hecke operators Hirotaka Tamanoi, University of California, Santa Cruz
14:30 to 15:00	Coffee Break
15:00 to 16:00	A Construction of a Dirac Operator on Loop Space Andrew Stacey, NTNU Trondheim
16:00 to 16:30	Coffee Break
16:30 to 17:30	The Geometric Langlands Program David Ben-Zvi, University of Texas at Austin
17:30	Reception

Wednesday, September 29th, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	On Dyer-Lash of algebras of operations on Morava E-Theory Charles Rezk, University of Illinois
10:30 to 11:00	Coffee Break
11:00 to 12:00	String topology and Gromov-Witten theory of cotangent bundles Ralph Cohen, Stanford University
12:00 to 13:30	Break for Lunch
13:30 to 14:30	On orbifold genera, Kinl-local spectra, product formulas and power operations Nora Ganter, Massachusetts Institute of Technology
14:30 to 14:45	Coffee Break
14:45 to 15:45	Elliptic Cohomology and Derived Algebraic Geometry Jacob Lurie, Harvard University
15:45 to 16:00	Coffee Break
16:00 to 17:00	Computation of Torus-equivariant complex oriented cohomology theories of flag varieties Andre Henriques (MIT)

Thursday, September 30th, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	Isogenies of elliptic curves and the K(2)-local sphere Mark Behrens, Massachusetts Institute of Technology
10:30 to 11:00	Coffee Break
11:00 to 12:00	Fat graphs and the mapping class group of a surface with boundary Veronique Godin
12:00 to 13:30	Break for Lunch
13:30 to 14:30	Elliptic cohomology via conformal field theories? Stephan Stolz, University of Notre Dame
14:30 to 15:00	Coffee Break
15:00 to 16:00	The locus at hyperelliptic fatgraphs Alex Bene (UCLA)
16:00 to 16:30	Coffee Break
16:30 to 17:30	Steenrod algebra, Dickson invariants and the automorphism groups of the additive group law Goro Nishida, Kyoto University

Friday, October 1st, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	On algebraic analogues of string topology Po Hu, Wayne State University
10:30 to 11:00	Coffee Break
11:00 to 12:00	Chain level Gromov-Witten theory Dennis Sullivan, Stony Brook University
12:00 to 13:30	Break for Lunch
13:30 to 14:30	D-branes and derived categories Eric Sharpe, Virginia Tech
14:30 to 15:00	Coffee Break
15:00 to 16:00	The work of Jack Morava Michael Hopkins, Harvard University
16:00 to 16:30	Coffee Break
16:30 to 17:30	Twisted K-Theory of lie groups Christopher Douglas (MIT)

Saturday, October 2nd, 2004
09:00 to 09:30	Continental Breakfast
09:30 to 10:30	Morava modules and local Langlands Paul Goerss, Northwestern University
10:30 to 11:00	Coffee Break
11:00 to 12:00	Conformal field theory, Grothendieck-Teichmueller theory and other structures Igor Kriz, University of Michigan

Monday, November 15th, 2004
15:30 to 16:30	Open orbits and geometrical structures Nigel Hitchin, University of Oxford

Organizing Committee

Matt Ando - Univeristy of Illinois of Urbana-Champaign

Michael Hopkins - Harvard University

Haynes Miller - Massachusetts Institute of Technology

Jack Morava - Johns Hopkins University

Scheduled as part of

Thematic Program on The Geometry of String Theory

The Fields Institute for
Research in Mathematical Sciences