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A q-analogue of Brion's identity from quantum K-theory

  • Aniket Shah (Ohio State University)
Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

We give a Brion-type formula for the weighted enumeration of lattice points in a polytope. The weighting has combinatorial significance, and also arises from the arc scheme of the associated toric variety. We obtain some new and old identities of q-series as consequences.

Links

conference
06.04.21 09.04.21

(Polytop)ics: Recent advances on polytopes

MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream) Live Stream

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)