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Home » MSRI Colloquium: "(Unexpected) applications of characteristic classes for singular varieties"

Seminar

MSRI Colloquium: "(Unexpected) applications of characteristic classes for singular varieties" April 03, 2009
Location: MSRI: Simons Auditorium
Speaker(s) Dr. Paolo Aluffi
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Around 1974, MacPherson defined a natural transformation between the functor of constructible functions and homology, leading to a functorial theory of Chern classes for possibly singular varieties. These CSM (=Chern-Schwartz-MacPherson) classes, and related notions such as the Chern-Mather class, have been applied in recent years to study questions in a wide variety of fields, ranging from classical enumerative geometry, to birational invariants, to new formulas for Donaldson-Thomas invariants, to computations related to high energy physics. In this talk I will review the theory underlying CSM classes, and survey several of these applications.

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