Colloquium by Aniket Shah (Ohio State University): A q-analogue of Brion's identity
Rogers-Szego polynomials are a family of orthogonal polynomials on the circle. We introduce a generalization of these polynomials which depend on the data of a polytope and prove a vertex sum formula for them when the polytope is smooth. This formula recovers Brion's formula when the parameter q is set to 0.
Time & Location
May 17, 2021 | 04:00 PM s.t.