Yaim Cooper : Stable Quotients in Low Genus

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

March 12, 2014, 4 p.m.

In

SEO 427

Abstract

Stable quotient spaces provide an alternative to stable maps for compactifying spaces of maps. In this talk I will discuss spaces of stable quotients which compactify the space of degree $d$ maps of genus $g$ curves to $P^n$. I will describe what is known about the geometry of these spaces. I will also discuss the relationship between these spaces and the corresponding spaces of stable maps from the perspective of mirror symmetry and the perspective of the minimal model program.