Institute for Advanced Study

School of Mathematics

Princeton, New Jersey

Agenda

 Conference on Gauge Theory and Representation Theory

November 26-30, 2007

Organizers:

Roman Bezrukavnikov, Institute for Advanced Study/MIT

Robert MacPherson, Institute for Advanced Study

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The conference is being supported by the National Science Foundation.

Messages for workshop guests may be left by calling (609) 734-8100 and will be

 placed on the bulletin board in Fuld Hall across from Fuld 119.

All talks will be held in Simonyi Hall.

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Monday, November 26, 2007

10:00 am - 11:00 Alexander Beilinson (Univ Chicago) Factorization and the determination of the periods

11:30 am - 12:30 Dennis Gaitsgory (Harvard), Local geometric Langlands and localization of Kac-Moody modules

12:30 pm – 1:30 Lunch, Dining Hall

2:30 pm - 3:30 Richard Thomas (Imperial College), Defining the BPS invariants of Gopakumar-Vafa on Calabi-Yau 3-folds

3:30 pm - 4:00 Tea - Fuld Hall Common Room

4:00pm - 5:00 Gregory Moore (Rutgers), Comments on BPS wall-crossing and the OSV conjecture

Tuesday,  November 27, 2007

10:00 am - 11:00 Juan Maldacena (IAS), Integrability in N=4 Super Yang Mills

11:30 am - 12:30 Victor Ginzburg (Univ Chicago), Calabi-Yau algebras and non-commutative geometry

12:30 pm – 1:30 Lunch, Dining Hall

2:30 pm - 3:30 Philip Boalch (IAS/ENS/CNRS), Some geometry of irregular connections on curves

3:30 pm - 3:45 Tea - Fuld Hall Common Room

3:45 pm – 4:45 Andre Losev (ITEP), Physics and geometry as different backgrounds:  a conjecture

5:00 pm - 6:00 David Ben-Zvi (Univ Texas), Langlands duality for character theories

Wednesday, November 28, 2007

10:00 am - 11:00 Edward Witten (IAS) Gauge theory and wild ramification

11:30 am - 12:30 Sergei Gukov (IAS),  D-branes and representations

12:30 pm – 1:30 Lunch, Dining Hall

2:30 pm - 3:30 Edward Frenkel (Univ California, Berkeley), Geometric endoscopy and mirror symmetry 

3:30 pm - 3:45 Tea - Fuld Hall Common Room

3:45 pm - 4:45 Anton Kapustin (Caltech), Holomorphic-topological twisting of N=2 gauge theories

4:45 pm – 5:45 Natalia Saulina (Caltech), The algebra of Wilson-t’Hooft operators

6:00 pm -   Buffet Dinner, Dilworth Room, IAS Dining Hall, reservations and payment required by November 19, 2007.

Thursday, November 29, 2007

10:00 am - 11:00 Samson Shatashvili (Trinity College/IHES), Gauge theories and quantum integrable systems

11:30 am - 12:30 Hiraku Nakajima (IAS), Instanton counting and wall-crossing formulas for Donaldson invariants

12:30 pm – 1:30 Lunch, Dining Hall

2:30 pm - 3:30 Alexander Braverman (Brown), The double affine Grassmannian via gauge theory on ALE spaces

3:30 pm - 3:45 Tea - Fuld Hall Common Room

3:45 pm - 4:45 Melissa Liu (Northwestern/Columbia), Instanton counting on toric surfaces

4:45 pm - 5:45 Mikhail Khovanov (IAS), Matrix factorizations and link homology

Friday, November 30, 2007

10:00 am - 11:00 Michael Douglas (Rutgers), Overview of D-branes in physics and mathematics

11:30 am - 12:30 Valerio Toledano Laredo (IAS/Northeastern Univ), Stability conditions and Stokes matrices 

12:30 pm – 1:30 Lunch, Dining Hall

02:30 pm - 03:30 Igor Frenkel (Yale), Quaternionic analysis, representation theory and physics

03:30 pm - 04:00 Tea - Fuld Hall Common Room

04:00 pm - 05:00 Mikhail Kapranov (Yale), Noncommutative differential operators and Tannakian duality for nonflat connections