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Curves Seminar

Thursday, November 6th, 2024

Time: 1:00 p.m.  Place: Jeffery Hall, Room 115

Speaker: Luke Steverango (³ÉÈË´óƬ)

Title: Simplicial Alexander Duality

Abstract:    Alexander Duality extends the combinatorial notion for simplicial complexes by exchanging generators of ideals for irreducible components. More generally, the exchange works on cellular resolution of monomial ideals where it is manifested as topological duality. We will examine the definition, look at some examples, and hopefully define Hochster’s formula for Betti numbers.