6 Sep 2022
10:00 am - 11:00 am
Tuesday, 6 September @ 1000 (AEST) (Melbourne)
Tuesday, 6 September @ 0900 (JST) (Tokyo)
Tuesday, 6 September @ 0800 (CST) (Beijing)
Tuesday, 6 September @ 0530 (IST) (New Delhi)
Tuesday, 6 September @ 0100 (BST) (London)
Monday, 5 September @ 2000 (EDT) (New York)
Monday, 5 September @ 1700 (PDT) (Santa Barbara)
Presenter: Professor Tomohiro Sasamoto (Tokyo Institute of Technology)
Biography: Tokyo Institute of Technology
Topic: Integrable probability, special functions and combinatorics
Abstract: During the last twenty years or so studies of stochastic interacting systems using their integrable structures have been performed quite intensively and successfully. The field is now often called “integrable probability” and attracts much attention.
One of the most important subject in the filed is the KPZ equation and its discrete analogues. The biggest breakthrough was the work of Johansson in 2000, who showed that the totally asymmetric simple exclusion process (TASEP) is associated with the Schur measure using the RSK correspondence.
Recently we have discovered a generalization of this connection to the case of q-PushTASEP or q-Whittaker measure. More precisely, by introducing the skew RSK dynamics of a pair of skew semi-standard tableaux, we have found a connection between q-whittaker measure to the periodic Schur measure. This opens the new way to study KPZ models using free fermion at finite temperature.
The talk is based on a joint work with Takashi Imamura and Matteo Mucciconi .
Structure: 45 minutes seminar with 15 minutes question time
Seminar Recording and Slides:
Please click here for the recording of the seminar
Please click here for the presentation slides