Gauge Theory and Categorification - IPAM

Gauge Theory and Categorification

March 6 - 10, 2017

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 6, 2017

Morning Session

08:00-08:50
Check-In/Breakfast (Hosted by IPAM)
08:50-09:00
Welcome and Opening Remarks
09:00-09:50
Cliff Taubes (Harvard University)
The behavior of sequences of solutions to the Vafa-Witten equations
10:00-10:15
Break
10:15-11:05
Rafe Mazzeo (Stanford University)
The Kapustin-Witten equations with Nahm Pole Boundary Condtions
11:15-11:30
Break
11:30-12:20
Michael Singer (University College London)
Monopoles and the Sen Conjecture

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Mikhail Khovanov (Columbia University)
How to categorify the ring of integers localized at two
15:00-15:15
Break
15:15-16:05
Raphael Rouquier (University of California, Los Angeles (UCLA))
Higher representations and low-dimensional topology
17:00-18:00
Edward Witten (Institute for Advanced Study)
Research Lecture: From Gauge Theory to Khovanov Homology via Floer Theory
18:00-19:00
Reception (Location: IPAM Lobby)

Tuesday, March 7, 2017

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Yuuji Tanaka (Osaka University)
Vafa-Witten invariants on projective surfaces
10:00-10:15
Break
10:15-11:05
Andriy Haydys (Universität Bielefeld)
Topology of the blow up set for the Seiberg-Witten monopoles with multiple spinors
11:15-11:30
Break
11:30-12:20
Tomasz Mrowka (Massachusetts Institute of Technology)
An approach to the Four Color Theorem via Gauge Theory and Three Manifold Topology

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-14:30
Edward Witten (Institute for Advanced Study)
TALK CANCELLED
14:30-15:30
Problem Session ()
Problem Session #1
15:30-16:00
Break
16:00-17:00
Problem Session ()
Problem Session #2

Wednesday, March 8, 2017

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Kenji Fukaya (Simons Center - SUNY)
How can we use virtual fundamental chain in Gauge theory
10:00-10:15
Break
10:15-11:05
Mohammed Abouzaid (Columbia University)
Symplectic topology and Khovanov homology
11:15-11:30
Break
11:30-12:20
Paul Seidel (Massachusetts Institute of Technology)
Lefschetz fibrations and SL_2-connections

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Anton Kapustin (California Institute of Technology)
Fermionic phases of matter and bosonization
15:00-15:15
Break
15:15-16:05
Sergei Gukov (California Institute of Technology)
From HM-to to Khovanov homology of 3-manifolds
17:00-18:00
Edward Witten (Institute for Advanced Study)
CANCELLED: Public Lecture: An Introduction to the SYK Model

Thursday, March 9, 2017

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Catharina Stroppel (Rheinische Friedrich-Wilhelms-Universität Bonn)
Representation theory of Lie supergroups, Springer fibers and Khovanov algebras
10:00-10:15
Break
10:15-11:05
Ben Webster (University of Virginia)
Symplectic and Koszul duality
11:15-11:30
Break
11:30-12:20
Joel Kamnitzer (University of Toronto)
Quantum geometric Satake correspondence and knot homology

Afternoon Session

14:30-15:20
Hiraku Nakajima (Kyoto University)
Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories
15:30-16:00
Break
16:00-16:50
David Ben-Zvi (University of Texas at Austin)
Moduli of Vacua and Categorical representations

Friday, March 10, 2017

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Hartmut Weiss (Christian-Albrechts Universität Kiel)
The asymptotic geometry of the Higgs bundle moduli space
10:00-10:15
Break
10:15-11:05
Sergey Cherkis (University of Arizona)
Monad for Instantons on multi-Taub-NUT and Bows
11:15-11:30
Break
11:30-12:20
Andrew Neitzke (University of Texas at Austin)
Abelianization in complex Chern-Simons theory and a hyperholomorphic line bundle

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Thomas Walpuski (Massachusetts Institute of Technology)
Isolated singularities of Hermitian Yang-Mills connections
15:30-15:30
Conclusion
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