Solvable Lattice Models

A state in a solvable lattice model representing a value of a metaplectic Iwahori Whittaker function.

Organizers: Daniel Bump, Slava Naprienko. 
Seminar link: http://stanford.edu/~nap/lattice-seminar

Solvable lattice models are statistical mechanical systems that can be studied exactly by a method of Baxter, based on the Yang-Baxter equation. This can be understood in terms of quantum groups. Recently particular examples showing symmetry with respect to the Lie super group $U_q(\widehat{gl}(r \mid n))$ arose in two very different contexts: the representation theory of p-adic groups, where such models were used by Brubaker, Buciumas, Bump and Gustafsson to study Iwahori Whittaker functions on metaplectic groups; and in integrable probability, in work recent of Aggarwal, Borodin and Wheeler. We will introduce the topic starting with Baxter's work on six vertex model, then look at more recent work explaining some of the ideas.

Upcoming Events

Solvable Lattice Models
Wednesday, March 10, 2021
2:00 PM

Past Events

Solvable Lattice Models
Wednesday, March 3, 2021
2:00 PM
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Zoom
Alexey Bufetov
Solvable Lattice Models
Wednesday, February 24, 2021
2:00 PM - 3:00 PM
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Zoom
Chenyang Zhong
Solvable Lattice Models
Wednesday, February 17, 2021
2:00 PM
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Zoom
TBA
Henrik Gustafsson
Solvable Lattice Models
Wednesday, February 10, 2021
2:00 PM - 3:00 PM
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Zoom
Leonid Petrov
Solvable Lattice Models
Wednesday, February 3, 2021
2:00 PM
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Zoom
Ben Brubaker (University of Minnesota
Solvable Lattice Models
Wednesday, January 20, 2021
2:00 PM