Facets of Integrability: January 21 – 27, 2013

Facets of Integrability: Random Patterns, Stochastic Processes, Hydrodynamics, Gauge Theories and Condensed Matter Systems

Attendee List Schedule PDF Download Poster Workshop Photos

Organized 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

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