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.
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 | video |
| 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 | ||