Seminar Event Detail


Combinatorics

Date:  Friday, November 19, 2021
Location:  4088 East Hall (3:00 PM to 4:00 PM)

Title:  k-Positivity of the Dual Canonical Basis

Abstract:   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.

Files:


Speaker:  Sunita Chepuri
Institution:  University of Michigan

Event Organizer:     

 

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