|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.
Speaker: Sunita Chepuri
Institution: University of Michigan