# Stable Quotients in Low Genus

## Yaim Cooper (Harvard)

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.

Tuesday, January 28th, at 4:00pm in HBH 227

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