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Gauge Theory Angle at Integrability Workshop: November 12 – 16, 2012

Organized by Nikita Nekrasov and Samson Shatashvili

 

This workshop is a part of the Fall 2012 program Integrability in Modern Theoretical and Mathematical Physics

Exactly solvable quantum many body systems, lattice models of statistical physics and integrable 1+1 dimensional quantum field theories have very rich and long history which substantially influenced the development of the mathematical physics in the 20th century. During the recent years it has become clear that supersymmetric quantum field theories in various dimensions contain sectors that are equivalent to these quantum integrable models (and their classical counterparts). This observation connected two communities of mathematicians and physicists and thus is expected to have profound consequences.

Attendee ListView Videos

 

All talks will be held in the Simons Center Lecture Hall, Room 102

Time Title Presenters  Video
10:00-11:00  “Complexified Liouville equation, conformal blocks, and hyperkahler structure of deformation spaces”  Takhtajan video
11:00-11:15 Coffee Break
11:15-12:15  “The four-dimensional supersymmetric gauge theories in Omega background and quantum spin chains”  Pestun video
12:15-2:00 Lunch
2:00-3:00 “Bethe algebras and quantum cohomology” Tarasov video
3:00-3:15 Tea
3:15-4:15  “Omega from a topological string point of view” Krefl video
4:14-4:30 Discussions


Time Title Presenters Video
10:00-11:00  “Worldsheet duality with spacetime fermions” Schomerus video
11:00-11:15 Coffee Break
11:15-12:15  “Complex temperature zeros of the partition function
of the Ising model in a magnetic field.”
McCoy video
12:15-2:00 Lunch
2:15-3:15  “Umbral moonshine” Cheng video
3:15-3:30 Tea
3:30-4:30 “On counting versus integration” Gerasimov videoDownload Slides
4:30 Discussions

 


Time Title Presenters Video
10:00-11:00  “Amoebas, Ronkin function and Monge-Amp\`er measures of algebraic curves with
marked points”
Krichever video
11:00-11:15 Coffee Break
11:15-12:15 Teschner video
12:15-2:00 Lunch
2:00-3:00  “Dualities in the gauge theories versus dualities in the integrable systems” Gorsky video
3:00-3:15 Tea
3:15-4:15 “From Yangians to quantum loop algebras via abelian difference equations” Toledano Laredo video
4:15-4:30 Discussions

 

 


Time Title Presenters Video
10:00-11:00  “Volkov ‘s pentagon for the modular quantum dilogarithm” Faddeev video
11:00-11:15 Coffee Break
11:15-12:15  “K-theoretic stable envelopes and their applications” Okounkov video
12:15-2:00 Lunch
2:00-3:00  “Benjamin Ono (and bidirectional) and quantum Hall effect” Pasquier video
3:00-3:15 Tea
3:15-4:15  “Vortex partition functions, Landau-Ginzburg models, and the Bethe equations”  Okuda video
4:15-4:30 Discussions
 6:00  Workshop Banquet Dinner


Time Title Presenters Video
10:00-11:00 “Cohernt sheaves and superconnections”  Rosly video
11:00-11:15 Coffee Break
11:15-12:15   “N=4 spin chain and N=2 quiver gauge theory”  Zhao video
12:15-2:00 Lunch
2:00-3:00 ” N=2 4d BPS-quiver SCFT’s, quantum clusters, and periodic Y-systems”  del Zotto video
3:00-3:15 Tea
3:15-4:15  “Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity”  Bershteyn video
4:15-4:30 Discussions