Back to Algebraic Geometry Seminar: Spring 2017
Algebraic Geometry Seminar
Date: Tuesday, Feb 7, 2017
Time: 3:30PM - 4:30PM
Location: LCB 219
Travis Mandel
University of Utah
Title |
Descendant log Gromov-Witten theory and tropical curves |
Abstract |
Gromov-Witten (GW) theory is concerned with virtual counts of algebraic curves which satisfy various conditions. I will motivate the log GW theory of Gross-Siebert and Abramovich-Chen by explaining how log structures result in a theory which is better behaved than ordinary GW theory (e.g., less superabundance, better-behaved psi-classes, easily imposed tangency conditons, and invariance in log-smooth families). I will then explain a correspondence between certain descendant log GW invariants and certain counts of tropical curves (from the perspective of Nishinous-Siebert, but allowing for psi-classes and arbitrary genus). This is based on joint work with H. Ruddat. |
Algebraic Geometry