Back to Algebraic Geometry Seminar: Spring 2014
Algebraic Geometry Seminar
Date: Tuesday, Jan 28, 2014
Time: 3:30PM - 4:30PM
Location: LCB 215
Emily Clader
University of Michigan
Title |
Tautological relations via the orbifold C/Z_r |
Abstract |
Tautological classes are certain elements of the cohomology or Chow ring of the moduli space of curves that are important in Gromov-Witten theory. We describe a method for deriving relations between these classes by studying the Gromov-Witten theory of the orbifold C/Z_r. Furthermore, we show that the quantum cohomology of C/Z_r is generically semisimple. Using recent ideas of Pandharipande-Pixton-Zvonkine, this semisimplicity may be useful for obtaining other tautological relations. |
Algebraic Geometry