Back to Algebraic Geometry Seminar: Spring 2016
Algebraic Geometry Seminar
Date: Tuesday, Apr 26, 2016
Time: 3:30PM - 4:30PM
Location: JFB 102
Yu-jong Tzeng
University of Minnesota
Title |
Algebraic cobordism group of divisors and counting singular curves with tangency conditions |
Abstract |
The algebraic cobordism theory constructed Morel and Levine is a universal oriented Borel-Moore homology theory for schemes. Levine and Pandaripande developed an equivalent algebraic cobordism theory and many results using degeneration methods in algebraic geometry can be understood as invariants of this theory. In this talk I will talk about the generalization of the algebraic cobordism theory to bundles and divisors on varieties and discuss its application to count singular curves with tangency conditions in varieties of any dimension. This enumeration is motivated by Caporaso and Harris' recursive formula for nodal curves with fixed tangency multiplicities with a line on the complex projective plane. |
Algebraic Geometry