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Colloquium by Aniket Shah (Ohio State University): A q-analogue of Brion's identity

May 17, 2021 | 04:00 PM s.t.

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.


Freie Universität Berlin
Technische Universität Berlin
Humboldt-Universität zu Berlin
Deutsche Forschungsgemeinschaft (DFG)