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Algebraic Combinatorics Seminar - David WagnerExport this event to calendar

Thursday, June 6, 2019 — 3:30 PM EDT

Title: Toric varieties from distributive lattices

Speaker: David Wagner
Affiliation: University of Waterloo
Room: MC 5417

Abstract:

Given a nite lattice L, consider the ring of complex polynomials in indeterminates indexed by L, modulo the ideal generated by (XaXb-Xa^bXa_b for all a; b 2 L). Hibi showed that this is an integral domain if and only if L is distributive, in which case the corresponding projective variety is toric. We describe the orbit decomposition and singularities of this variety in terms of the poset of join-irreducibles of L, and introduce a class of posets motivated by other questions about its geometry.

Location 
MC - Mathematics & Computer Building
5417
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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