Annual Report 2005 - Fields Institute - University of Toronto

Andre Henriques (MIT)
Computation of torus-equivariant complex oriented cohomology
theories of flag varieties
Michael Hopkins (MIT)
The work of Jack Morava
Po Hu (Wayne State)
On algebraic analogues of string topology
Mikhail Kapranov (Yale)
Floer homology for ind-schemes
Nitu Kitchloo (San Diego)
Buildings for Kac-Moody groups
Igor Kriz (Michigan)
Conformal field theory, Grothendieck-Teichmueller theory
and other structures
Jacob Lurie (MIT)
Elliptic cohomology and derived algebraic geometry
James McClure (Purdue)
The intersection pairing for PL chains, with applications to
string topology
Goro Nishida (Kyoto)
Steenrod algebra, Dickson invariants and the automorphism
groups of the additive group law
Charles Rezk (UIUC)
On Dyer-Lash of algebras of operations on Morava E-Theory
Eric Sharpe (UIUC)
D-branes and derived categories
Andrew Stacey (NTNU, Trondheim)
A Construction of a Dirac operator on loop space
Stephan Stolz (Notre Dame)
Elliptic cohomology via conformal field theories?
Dennis Sullivan (SUNY Stony Brook)
Chain level Gromov-Witten theory
T h e m a t i c P r o g r a m s
Hirotaka Tamanoi (UC Santa Cruz)
Decomposition of orbifold mapping spaces and geometric
Hecke operators
Constantin Teleman (Cambridge)
Twistings in Gromov-Witten theory
Takeshi Torii (Fukuoka, Japan)
Degeneration of formal groups and generalized Chern characters
David Ben-Zvi (Texas)
The Geometric Langlands Program
Workshop on Mirror Symmetry
November 19–23, 2004
Held at Perimeter Institute
Organizing Committee: Denis Auroux (MIT), Mark
Gross (Warwick), Kentaro Hori (Toronto) and Noriko Yui
(Queen’s)
This workshop brought together leading mathematicians
and theoretical physicists. The talks focused on various
recent developments in the field of mirror symmetry, from
both the mathematical and physical points of view, and
provided a broad panorama of the current state of the art.
Additional funding for the workshop was provided by the
Connaught fund, and by the NSF through a grant in support
of the program.
The mathematical aspects of mirror symmetry that the
workshop focused on included the Strominger-Yau-Zaslow
conjecture, the Kontsevich homological mirror symmetry
conjecture, number-theoretic aspects (arithmetic and
motives), and generalized Kähler geometry and T-duality.
In addition, recent developments such as (0,2) mirror symmetry
and (0,2) correlation functions, flux backgrounds,
affine structures, etc., were discussed.
The talks on the theoretical physics side of mirror symmetry
covered topics on topological sigma models, matrix
factorizations, T-duality for holomorphic non-commutative
tori, the Hori–Vafa conjecture, etc.
This workshop was the third or fourth concerning mirror
symmetry held in Canada in the last four years. It was
undoubtedly the biggest one in terms of number of participants,
and also the broadest from the scientific point of
view. It brought together leading mathematicians and theoretical
physicists from all over the world for five days, to
Fields Institute 2005 ANNUAL REPORT 22