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Department of Mathematics,
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****************************
