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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 269: Combinatorics Seminar
Brendon Rhoades
UCSD
A q-analog of Ehrhart theory
Abstract:
Classical Ehrhart theory studies lattice point enumeration in integer dilates of lattice polytopes. We discuss a new and conjecture-laden q-analog of Ehrhart theory involving the orbit harmonics deformation of algebraic combinatorics. A new and somewhat subtle `harmonic algebra' attached to a lattice polytope plays a key role. Joint with Vic Reiner.
April 14, 2026
2:00 PM
APM 7321
Research Areas
Combinatorics****************************
