Back to Departmental Colloquium: Spring 2005
Departmental Colloquium
Date: Tuesday, Feb 15, 2005
Time: 4:15PM
Location: JWB 335
Special Colloquium Tuesday
Chern Classes of Singular Algebraic Varieties
Title |
Chern Classes of Singular Algebraic Varieties |
Abstract |
Chern classes play a fundamental role in the study of manifolds. In this talk I will address the general problem of finding good notions of Chern classes for singular varieties. I will start by discussing the generalizations proposed by Mather and MacPherson. Then, motivated by the recent discovery (due to Aluffi) that Chern classes of manifolds satisfy a strong birational property, I will propose a different generalization of Chern classes for singular varieties for which such a property is preserved. These new classes are in fact deeply related to certain “stringy invariants” and have a nice orbifold interpretation for quotient varieties. The results are joint work with Lupercio, Nevins and Uribe. |
Algebraic Geometry
Commutative Algebra
Topology