Department of Mathematics - Seminar on Pure Mathematics - K-theoretic analogues of Demazure crystals

2:00pm - 3:00pm
Room 4472 (Lifts 25/26)

Key polynomials are characters of Demazure modules of the Borel subalgebra. They are a non-symmetric extension of Schur polynomials which represent the cohomology of Grassmannians. Key polynomials can be written as generating functions over tableaux. One can find these tableaux using a combinatorial model known as Demazure crystals. Lascoux polynomials can be viewed as the K-theoretic analogue of key polynomials. We introduce an analogue of Demazure crystals, obtaining a tableau formula for Lascoux polynomials.

Event Format
Speakers / Performers:
Mr. Tianyi YU
Université du Québec à Montréal
Language
English
Recommended For
Alumni
Faculty and staff
PG students
UG students
Organizer
Department of Mathematics
Post an event
Campus organizations are invited to add their events to the calendar.