Back to Algebraic Geometry Seminar: Spring 2013
Algebraic Geometry Seminar
Date: Tuesday, Apr 2, 2013
Time: 3:30PM - 4:30PM
Location: LCB 215
Samouil Molcho
Brown University
Title |
Localization in the Space of Logarithmic Stable Maps |
Abstract |
The space of stable maps to a smooth variety relative to a smooth divisor, defined by Jun Li, is an important moduli space in Gromov-Witten theory, which arises naturally when one tries to study Gromov-Witten invariants by degeneration. It’s deformation theory however is complicated. A related space is the space of logarithmic stable maps, defined by B.Kim. This space has the same Gromov-Witten invariants as the space of relative stable maps, but its deformation theory has better formal properties. In this talk I will briefly describe these moduli spaces and explain how to do localization in the space of logarithmic stable maps when the targets admit a torus action. This is joint work with E. Routis. |
Algebraic Geometry