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DTSTART:20070311T020000
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DTSTAMP:20260304T151939
DTSTART;TZID=America/Detroit:20260313T143000
DTEND;TZID=America/Detroit:20260313T153000
SUMMARY:Workshop / Seminar:Frobenius Identities in Combinatorics (Combinatorics seminar)
DESCRIPTION:Several recent proofs of unimodality theorems in combinatorics rely on unexpected identities satisfied by the volume map on combinatorially defined algebras over fields of characteristic p. The proof of unimodality for the h-vector of simplicial spheres by Papadakis–Petrotou and for the h^*-vector of IDP and Gorenstein lattice polytopes by Adiprasito–Papadakis–Petrotou both fit into this framework. In this talk\, we reinterpret the volume map from the perspective of commutative algebra and explain the origin of these identities. This viewpoint yields short proofs and suggests new research directions. This is joint work with Adiprasito\, Oba\, Papadakis\, and Petrotou.
UID:142070-21889967@events.umich.edu
URL:https://events.umich.edu/event/142070
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 3866
CONTACT:
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