Date: Wednesday, April 10, 2013
Location: 3088 East Hall (4:00 PM to 6:00 PM)
Title: Segre classes of monomial subschemes
Abstract: Segre classes are fundamental intersection-theoretic invariants: many problems in enumerative geometry may be reduced to computations of Segre classes, and basic invariants such as Milnor numbers and classes may be expressed in terms of Segre classes. We propose a formula computing the Segre class of an arbitrary monomial subscheme, and prove this formula in several representative cases. The formula is reminiscent of intersection computations in terms of mixed volumes of polytopes and convex bodies as in the classical Bernstein's theorem and more recent work of Kaveh-Khovanskii, Huh, and others.
Speaker: Paolo Aluffi
Institution: FSU
Event Organizer:
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