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Combinatorics Seminar

k-Positivity of the Dual Canonical Basis
Friday, September 24, 2021
3:00-4:00 PM
4088 East Hall Map
Skandera showed that all dual canonical basis elements of C[SL_m] can be written in terms of Kazhdan-Lusztig immanants, which were introduced by Rhoades and Skandera. We use this result as well as Lewis Carroll's identity (also known as the Desnanot-Jacobi identity) to show that a broad class of dual canonical basis elements are positive when evaluated on k-positive matrices, matrices whose minors of size k and smaller are positive. This is joint work with Melissa Sherman-Bennett.

Speaker(s): Sunita Chepuri (University of Michigan)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics