Facets of Integrability: Random Patterns, Stochastic Processes, Hydrodynamics, Gauge Theories and Condensed Matter Systems
Attendee List Schedule PDF Download Poster Workshop PhotosOrganized by: Ilia Binder, Andrei Okounkov, Alexander Abanov, Eldad Bettelheim, Ilya Gruzberg, Seung-Yeop Lee and Razvan Teodorescu
Once mathematicians got interested in random matrix theory two decades ago, it was recognized that methods previously used in integrable non-linear equations, could also be applied to random matrices and problems related to free fermions. Similar structures exist in random processes, and these methods effectively link several disciplines together. However, the methods and the related matrix Riemann-Hilbert problem did not so far nd their way into the growing eld of random processes governed by conformal invariance. The goal of this workshop is to narrow this gap. The workshop will focus on various applications of techniques of integrable non-linear systems to random matrices, Dyson di usion, and counting problems of various geometrical objects arising in random processes, among other topics.
The workshop will focus on application of integrable structures of quantum and classical systems to various modern topics in geometry, combinatorics and stochastic processes.
The goal of this workshop is to narrow gaps between seemingly different disciplines in mathematics and physics which share similar integrable structures. The second part of the workshop will be on new applications of integrability in conformal field theories, gauge theory, and non-equilibrium phenomena. It will also include a celebration of Paul Wiegmann’s 60th birthday, organized by A. Abanov, E. Bettelheim, I. Gruzberg, S.-Y. Lee and R. Teodorescu.
This workshop will be a part of the Spring 2013 program Conformal Geometry, Organized by Ilia Binder, John Cardy, Andrei Okounkov, and Paul Wiegmann
Facets of Integrability Workshop Schedule
| Time | Title | Presenters | Video |
| 9:30am | Opening and remarks from the organizers | Organizers | slides |
| 10:00am | Integrable Combinatorics | Philippe Di Francesco | video slides |
| 11:30am | Integrability of Laplacian growth in a channel and Hurwitz numbers | Anton Zabrodin | video slides |
| 12:30pm | Lunch | ||
| 2:15pm | On the universality of random normal matrices | Giovanni Felder | video chalk |
| 3:45pm | Topology of quadrature domains: 2D Coulomb gas with algebraic potential | Seung-Yeop Lee | video slides |
| Time | Title | Presenters | Video |
| 10:00am | Integrability in the Ising model | Rick Kenyon | video slides |
| 11:30am | Algebraic Bethe ansatz for long range spin chains | Didina Serban | video slides |
| 12:30pm | Lunch | ||
| 2:15pm | Painlevé Transcendents and their appearance in Physics and Random Matrix Theory | Alexander Its | video slides |
| 3:45pm | Orthogonal polynomials in the normal matrix model with a cubic potential | Pavel Bleher | video slides |
| 7:00pm | Complimentary to participants | Wine and Cheese Reception | |
| Time | Title | Presenters | Video |
| 10:00am | KP Tau functions, Convolution Flows, and applications | John Harnad | video slides |
| 11:30am | Repeated non-demolition measurements and a detour into quantum noises | Denis Bernard | video slides |
| 12:30pm | Lunch | ||
| 2:15pm | BPS/CFT correspondence | Nikita Nekrasov | video chalk |
| 4:00pm | On the three-point function of heavy non-BPS operators in N=4 SYM | Ivan Kostov | video slides |
| Time | Title | Presenters | Video |
| 10:00am | Complexified Liouville Equation | Leon Takhtajan | video chalk |
| 11:30am | Classical conformal blocks and Painleve IV | Sergei Lukyanov | video slides |
| 12:30pm | Lunch | ||
| 2:15pm | On directed polymers and universality of the KPZ class | Konstantin Khanin | video chalk |
| 4:00pm | Deep waters of quantum cohomology SCGP-Math colloquium (SCGP Auditorium) |
Andrei Okounkov | video chalk |
| 6:00pm | SCGP Café. Spanish wine, traditional tapas and music | Spanish Wine and Tapas Tasting |
| Time | Title | Presenters | Video |
| 10:00am | On integrability of knots | Alexei Morozov | video chalk |
| 11:30am | Cluster algebra and complex volume of 2-bridge knot | Kazuhiro Hikami | video chalk |
| 12:30pm | Lunch | ||
| 2:15pm | Realization of 2-channel Kondo effect in a junction of three quantum Ising chains | Alexei Tsvelik | video slides |
| 4:00pm | Topological Order in Spin Systems | Paul Fendley | video slides |
| Time | Title | Presenters | Video |
| 10:00am | Hirota dynamics of quantum integrability | Vladimir Kazakov | video slides |
| 11:30am | Unstable and Sensitive Vacua | Alexander Polyakov | video chalk |
| 12:30pm | Lunch | ||
| 2:15pm | Universal Whitham heirarchy and its applications | Igor Krichever | video slides |
| 4:00pm | Conformal Field Theory of Composite Fermions in the Quantum Hall | Andrea Cappelli | video slides |
| 6:00pm | SCGP Café. Complimentary for all registered participants | Dinner Celebration in honor of Paul Wiegmann’s 60th birthday |
PLEASE NOTE: BREAKFAST ON SATURDAY – 1/26, WILL BE SERVED IN SCGP ROOM 515.
| Time | Title | Presenters | Video |
| 10:00am | Informal Discussion from 10:00am-1:00pm | Please see PDF |
PLEASE NOTE THERE WILL BE AN INFORMAL DISCUSSION FROM 10:00AM–1:00PM ON SUNDAY, JANUARY 27TH, AS OPPOSED TO SCHEDULED TALKS. BREAKFAST AND LUNCH WILL STILL BE SERVED.
Confirmed list of speakers:
Denis Bernard
Pavel Bleher
Andrea Capelli
Phillipe DiFrancesco
Giovanni Felder
Paul Fendley
John Harnad
Kazuhiro Hikami
Alexander Its
Vladimir Kazakov
Rick Kenyon
Konstantin Khanin
Ivan Kostov
Igor Krichever
Seong-Yeop Lee
Sergei Lukyanov
Alexei Morozov
Nikita Nekrasov
Andrei Okounkov
Alexander Polyakov
Didina Serban
Leon Takhtajan
Alexei Tsvelik
Anton Zabrodin
