UBC Discrete Math Seminar: Kelvin Chan
- Date: 11/22/2022
- Time: 16:00
Lecturer(s):
Kelvin Chan, York University
Location:
University of British Columbia
Topic:
Quasisymmetric harmonics of the exterior algebra
Description:
The left regular representation of the symmetric group has a graded cousin constructed as a coinvariant quotient of the polynomial ring in n variables. This theory has fruitfully produced many interesting generalizations with a rich interplay between algebra and combinatorics. Examples include the famous diagonal harmonics and, slightly more recently, the Delta conjecture. In this talk, we review some relevant background and introduce a Grassmannian version of the coinvariant space using the Hivert action of the symmetric group.
This is joint work with Nantel Bergeron, Farhad Soltani, and Mike Zabrocki.
Other Information: