Top Menu

Homological Methods in Quantum Field Theory: September 29 – October 3, 2014

Application for workshop  is now closed.

Organized by Kevin Costello, Ryan Grady, Owen Gwilliam, and Si Li

Dates: September 29 – October 3, 2014

Attendee ListDownload Talk ScheduleView Videos

The Batalin-Vilkovisky (BV) formalism is a powerful method for constructing quantum field theories, notably gauge and supergravity theories. Recently, the language of derived geometry and homotopical algebra has provided a deeper interpretation of this formalism and further applications. In particular, thanks to the systematic integration of the BV formalism and techniques of renormalization, the last decade has seen a growing collection of examples and computational tools.

The conference will consist of several lecture series and research talks, with a focus on the BV formalism, its interpretation via derived geometry, compatible methods of renormalization, and the construction of factorization algebras from QFTs. Research talks will discuss sigma-models, supersymmetric gauge theories (and their twisted versions), BV theories on manifolds with boundary, and methods for producing topological invariants (e.g., link invariants) by factorization algebra techniques.

All workshop talks will be held in the Simons Center Lecture Hall (Room 102).

The Fall Simons Lectures by Steve Zelditch of Northwestern University will be held in the Simons Center Lecture Hall (Room 102).

Homological Methods in Quantum Field Theory Workshop Schedule

Time Title Presenters  Video
 8:30am Breakfast and registration begins (8:30am – 9:30am) SCGP Lobby and Cafe
 9:30am TBA Owen Gwilliam video
10:30am Coffee Break SCGP Cafe
11:00am Perturbative renormalization and supersymmetric localization Si Li video
12:00pm Lunch SCGP Cafe
 1:15pm QFT Algebras and Quantum Correlation Functions Jae-Suk Park video
 2:15pm Short Break
 2:30pm TBA Kevin Costello video
 3:30pm Special Tea for Alexander Zamolodchikov SCGP Lobby


Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am Operads, homotopy algebras and all that jazz… Vasily Dolgushev video
10:30am Coffee Break SCGP Cafe
11:00am TBA Kevin Costello video
12:00pm Lunch SCGP Cafe
 1:15pm Moduli/$\beta$-functions for BV theories Ryan Grady video
 2:15pm Short Break
 2:30pm Perturbative renormalization and supersymmetric localization Si Li video
 3:30pm Tea Time SCGP Lobby
 4:00pm Fall Simons Lectures by Steve Zelditch of Northwestern University (Room 102) Steve Zelditch video
Slides

Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am BV algebras in perturbative algebraic quantum field theory Katarzyna Rejzner video
10:30am Coffee Break SCGP Cafe
11:00am On the Hilbert space of a \beta\gamma-system on pure spinors Mikhail Movshev video
slides
12:00pm Lunch SCGP Cafe
 1:15pm Localization for 5D Yang-Mills theory Maxim Zabzine video
 2:15pm Short Break
 2:30pm L-infinity algebras and categories enriched “over L-infinity algebras”. Vasily Dolgushev video
 3:30pm Tea Time SCGP Lobby
 4:00pm Fall Simons Lectures by Steve Zelditch of Northwestern University (Room 102) Steve Zelditch video
slides
 5:00pm A differential geometer explains BV quantization of the nonlinear sigma model Tim Nguyen  
 6:00pm Workshop banquet SCGP Cafe

Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am What do homotopy algebras form? Vasily Dolgushev video
10:30am Coffee Break SCGP Cafe
11:00am Factorization homology as a fully extended TFT Claudia Scheimbauer video
12:00pm Lunch SCGP Cafe
 1:15pm Supersymmetric localization and equivariant cohomology of quantum field theories Vasily Pestun video
 2:15pm Short Break
 2:30pm Nonperturbative Descriptions for Twists of Classical Field Theories Chris Elliott video
 3:30pm Tea Time SCGP Lobby
 4:00pm Fall Simons Lectures by Steve Zelditch of Northwestern University (Room 102) Steve Zelditch video

Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am Perturbative Rozansky-Witten theory Qin Li video
10:30am Coffee Break SCGP Cafe
11:00am Poisson AKSZ theories Theo Johnson-Freyd video
12:00pm Lunch SCGP Cafe
 1:15pm An example of a cellular topological quantum field theory in BV-BFV formalism, with Segal-like gluing Pavel Mnev video
 2:15pm Short Break
 2:30pm Givental action and trivialization of circle action Bruno Vallette video
 3:30pm Tea Time SCGP Lobby

SCGP_QuantumField_11x17 web