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Graduate Workshop on Topological Quantum Field Theory: September 14 – 18, 2015

Dates: September 14-18, 2015

Organized by: Anton Kapustin and Alexander Kirillov

Attendee List Download Talk Schedule Videos

Topological Quantum Field Theory (TQFT) was first introduced by Witten at the end of 1980s as physical theory. It was immediately followed by an avalanche of works by many authors, both mathematicians and physicists, among them Atiyah, Reshetikhin and Turaev, Segal,.. who showed TQFT is closely related not only to physics but also to low-dimensional topology (for example, invariants of knots in 3 dimensions),representation theory of quantum group, and homological algebra. The active development of the theory continues to this day, bringing together such different fields as condensed matter physics, theory of n-categories, and theoretical computer science, where one of the most promising approaches to building a quantum computer is based on the methods of TQFT.

This workshop will introduce students to the theory, covering both well established results and recent developments. The workshop will be one week long, featuring lectures by:
Viktor Ostrik, U. of Oregon
Zhenghan Wang, Microsoft Station Q
Ingo Runkel, Univ of Hamburg
Mikhail Khovanov, Columbia U.
Dmitri Nikschych, U. of New Hampshire
Oleg Viro, Stony Brook Univ.
Anton Kapustin, Simons Center
Alexander Kirillov, Stony Brook Univ.

Talk Schedule


Time Title Presenter Location
9:00 AM Physical definition of a TQFT, axioms, examples in 2d Ingo Runkel SCGP 102
10:00 AM Coffee Break N/A SCGP Lobby
10:30 AM Physical definition of a TQFT, axioms, examples in 2d Ingo Runkel SCGP 102
11:30 AM Short Break N/A
11:45 AM  Spines of manifolds and TQFT’s Oleg Viro SCGP 102
12:45 PM Lunch N/A SCGP Cafe
2:15 PM Dijkgraaf-Witten theories. Equivariant TQFTs in 2d. Anton Kapustin SCGP 102
3:30 PM Tea Time N/A SCGP Lobby
4:00 PM  Dijkgraaf-Witten theories. Equivariant TQFTs in 2d Anton Kapustin SCGP 102


Time Title Presenter Location
9:00 AM   Physical definition of a TQFT, axioms, examples in 2d Ingo Runkel SCGP 102
10:00 AM Coffee Break N/A SCGP Lobby
10:30 AM  Dijkgraaf-Witten theories. Equivariant TQFTs in 2d. Anton Kapustin SCGP 102
11:30 AM Lunch N/A SCGP Cafe
1:00 PM  Realization of TQFTs as Topological Phases of Matter and Applications Part I Zhenghan Wang SCGP 102
2:15 PM 3d TQFT and modular functor Sasha Kirillov SCGP 102
3:30 PM Tea Time N/A SCGP Lobby


Time Title Presenter Location
9:30 AM  Realization of TQFTs as Topological Phases of Matter and Applications Part II Zhenghan Wang SCGP 102
10:30 AM Coffee Break N/A SCGP Lobby
11:00 AM  3d TQFTs and modular functor Sasha Kirillov SCGP 102
12:00 PM Lunch N/A SCGP Cafe
2:15 PM  modular tensor categories Victor Ostrik SCGP 102
3:30 PM Tea Time N/A SCGP Lobby
4:00 PM  3d TQFTs and modular functor Sasha Kirillov SCGP 102


Time Title Presenter Location
9:30 AM  modular tensor categories Victor Osterik SCGP 102
10:30 AM Coffee Break N/A SCGP Lobby
11:00 AM  modular tensor categories Victor Osterik SCGP 102
12:00 PM Lunch N/A SCGP Cafe
2:15 PM  Realization of TQFTs as Topological Phases of Matter and Applications Part III Zhenghan Wang SCGP 102
3:30 PM Tea Time N/A SCGP Lobby
4:00 PM Introduction to link homology Part I Mikhail Khovanov SCGP 102


Time Title Presenter Location
9:30 AM  modular tensor categories Dmitri Nikshych SCGP 102
10:30 AM Coffee Break N/A SCGP Lobby
11:00 AM Introduction to link homology Part II Mikhail Khovanov SCGP 102
12:00 PM Lunch N/A SCGP Cafe
2:15 PM  modular tensor categories Dmitri Nikshych SCGP 102
3:30 PM Tea Time N/A SCGP Lobby

 

20150904 Grad Workshop Poster