##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium

## Kristin DeVleming

#### UCSD

## Compactifying the moduli space of plane curves

##### Abstract:

A main goal of algebraic geometry is the classification of algebraic varieties and a central tool in this endeavor is the study of moduli spaces. I will discuss the moduli space of plane curves of degree d: a parameter space where each point corresponds to an isomorphism class of a certain curve. There are many techniques to compactify this space, including GIT, the minimal model program, and a differential geometric approach called K stability. In joint work with K. Ascher and Y. Liu, we interpolate between these different compactifications and study the problem via wall crossings.

### October 23, 2019

### 3:30 PM

### AP&M 7321

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