Askey-Bateman Seminar
During the Spring semester of 2021, I have organized an online seminar for graduate students and postdocs on multivariate special functions.
Our main source was the book
Encyclopedia of Special Functions: The Askey-Bateman Project Volume 2: Multivariable Special Functions,
edited by Tom Koornwinder and Jasper Stokman.
The seminar has taken place on Zoom and has run from February to May 2021.
The schedule was as follows:
February 15th and 22nd: Orthogonal polynomials of several variables by Hadewijch De Clercq (Ghent University)
Notes of Lecture 1
Notes of Lecture 2
March 1st: A-hypergeometric functions by Marjolein Leurs (KU Leuven)
Notes of Lecture 3
March 8th: Guest lecture on Elliptic hypergeometric functions associated with root systems by Hjalmar Rosengren (Chalmers University and University of Gothenburg)
March 15th: Dunkl operators and related special functions by Grzegorz Swiderski (KU Leuven)
Notes of Lecture 5
March 22nd: Jacobi polynomials and hypergeometric functions associated with root systems by Dominik Brennecken (Paderborn University)
Notes of Lecture 6
March 29th: Guest lecture on Heckman-Opdam polynomials by Eric Opdam (University of Amsterdam)
Notes of Lecture 7
April 12th and 26th: Macdonald-Koornwinder polynomials by Simon Pepin Lehalleur (Radboud University Nijmegen)
Notes of Lecture 8
Notes of Lecture 9
May 3th: Combinatorial aspects of Macdonald and related polynomials by Alan Groot (KU Leuven)
Notes of Lecture 10
May 10th: 9j-coefficients and higher by Alexis Langlois-RĂ©millard (Ghent University)
Notes of Lecture 11
The provided notes might not be free of typos or small errors. If you spot any, please notify me by e-mail.
Recordings of the lectures are available upon request.
Kleine Seminar
Since its foundation in 2019, I have been a member of the Kleine Seminar, the local algebra and representation theory seminar at Ghent University.
Past and current themes are:
Fall 2019: Hecke algebras and double affine Hecke algebras
Spring and Fall 2020: Categorification
Spring 2021: BGG Category O
Fall 2021 and Spring 2022: Tensor categories
For more information, please visit https://alexisl-r.github.io/kleine_seminar/.