MATH 290 – CCN 15355; Reading seminar in combinatorics, Fall 2019

Combinatorics of multivariate orthogonal polynomials

Time: W 11:00, 748 Evans.

Organizer: Sylvie Corteel

e-mail: lastname at berkeley dot edu

Register for credit as MATH290

Schur processes, Symplectic Schur functions, MacDonald polynomials, Askey Wilson polynomials and Koornwinder polynomials...

Date	Topics	Speaker	Reading
09/04 and 09/11	Longest Increasing Subsequences and Oscillating Tableaux	Jeremy Meza	S. Sundaram's thesis Paper by Aldous and Diaconis Jeremy's notes Increasing and decreasing subsequences and their variants
09/18	Limit shape for random partitions	David Keating
09/25	Asymptotics of the longest increasing subsequence of a permutation	Jorge Garza Vargas
10/02	Introduction to Ewens sampling formula	Sebastian Hummel
10/16	Ice Models for Type A	Yulia Alexandr
10/23	Ice Models for Type A and B	Yulia Alexandr
10/30	Limit shape for the 6 vertex model	Meredith Shea
11/06	Introduction to Macdonald polynomials	Freddie Huang
11/13	Domain-wall boundary conditions and the Macdonald polynomials	Aaron Bruckner
11/20	Domain-wall boundary conditions and the Macdonald polynomials	Aaron Bruckner
12/04	Combinatorics of triangular ice	Philippe Di Francesco

Possible papers and books

Sheila Sundaram Cauchy identity for Sp(2n)

Richard Stanley Increasing and decreasing subsequences and their variants

Dan Romik The Surprising Mathematics of Longest Increasing Subsequences

Jeremie Bouttier Teaching notes