##### Department of Mathematics,

University of California San Diego

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### AWM Colloquium

## Kristin DeVleming

#### University of Massachusetts, Amherst

## What is a moduli space?

##### Abstract:

Often, a goal of mathematics is to classify objects of a particular type. In algebraic geometry, the objects are usually of some geometric interest: manifolds, varieties, vector bundles, etc; and after fixing several discrete invariants (like the dimension of the object), we try to classify all the objects with those invariants. This leads to a notion of moduli space, i.e. a space parametrizing all of these objects. We will do several examples and mention both the usefulness and difficulty of these problems! No background in algebraic geometry is required.

### March 3, 2022

### 4:00 PM

https://ucsd.zoom.us/j/

Research Areas

Algebraic Geometry****************************