In the Spring 2017 me and Axel Saenz will continue with the Integrable Probability Reading Seminar. This time the topic will be “From random tilings to Kardar-Parisi-Zhang universality.” In terms of content, this is not a continuation of the Fall’s seminar. In the Spring, the seminar’s aim is to give a user-friendly introduction to modern and rapidly developing topics in probability theory with connections to combinatorics, algebra, representation theory on one side, and statistical physics and many other applications on the other side.
Material covered in this seminar is based on the surveys arxiv.org/abs/1106.1596, arxiv.org/abs/1212.3351, arxiv.org/abs/1310.8007, and other recent works discussing additional topics and details. The format of the seminar will have presentations by participants interlaced with occasional talks by me and Axel Saenz, depending on the level of participants’ activity. We are also open to having outside speakers if they’re in town.
January 23, 2017, 3:30pm in Ker 128
Leo Petrov — Introduction to counting domino tilings • Notes (6 MB)
January 30, 2017, 3:30pm in Ker 128
Arun Kannan and Muthu Chidambaram — Representations of finite groups
February 6, 2017, 3:30pm in Ker 128
Axel Saenz — Representations and characters of \(U(N)\)
February 13, 2017, 3:30pm in Ker 128
Collin Berman — From representations of \(U(N)\) to counting lozenge tilings
February 20, 2017
NO MEETING
February 27, 2017, 3:30pm in Ker 128
Peter Dillery — Asymptotics of random lozenge tilings
March 6, 2017
NO MEETING, SPRING BREAK
March 13, 2017, 3:30pm in Ker 128
Muthu Chidambaram — Totally Asymmetric Simple Exclusion Process
March 20, 2017, 3:30pm in Ker 128
Leo Petrov — Solving TASEP • Notes (14 MB)
March 27, 2017, 3:30pm in Ker 128
Axel Saenz — Asymptotics of TASEP
April 3, 2017, 3:30pm in Ker 128
Axel Saenz — Asymptotics of TASEP 2
April 10, 2017, 3:30pm in Ker 128
Arun Kannan — q-TASEP
April 17, 2017, 3:30pm in Ker 128
Peter Dillery — TASEP and Robinson-Schensted-Knuth