During this seminar, we are planning to study the some topics related to probability, including Hall algebra and Hecke algebra, random matrix theory, KPZ equation, six vertex model. Please email js6157@columbia.edu if you would like to join.

The seminar takes place in room 622 in the mathematics building, from 4pm to 5pm every Monday.

A tentative schedule for the seminar will be as follows (adjustments might be made according to actual progress):

Date	Speaker	Title and Abstract
09/16/2024	Jiahe Shen	Hall algebra
09/23/2024	Jiahe Shen	Hecke algebra and its connections with Hall algebra and symmtric functions
09/30/2024	Jiahe Shen	Spherical functions
10/07/2024	Jiahe Shen	p-adic random matrices
10/14/2024	Jiahe Shen	p-adic random matrices (II)
10/21/2024	Xinyi Zhang	From KPZ equation to Directed Landscape
10/28/2024	Jiyue Zeng	Stationary measure for half space log gamma polymer model
11/11/2024	Group discussion	Macdonald polynomial, last passage percolation and six vertex model
11/18/2024	Jiyue Zeng	Scaling limit of stationary measure for half space log gamma model
12/02/2024	Group discussion	Stochastic vertex model and symmetric functions
04/08/2024	Jiyue Zeng	Schur Process
04/15/2024	Xinyi Zhang	Colored linear ensembles

References

[1]I.G.Macdonald, Symmetric Functions and Hall Polynomials (second edition), Oxford Science Publications, 1998.