Perspectives on Moduli in Algebraic Geometry

January 27, 2025 - January 31, 2025


Dori Bejleri
University of Maryland
Kenny Ascher
UC Irvine
Kristin DeVleming
UMass Amherst

The central problem in algebraic geometry is to classify algebraic varieties or related geometric structures. Algebraic varieties are often parametrized by certain moduli spaces and the geometry of these moduli spaces encodes the ways of continuously deforming the varieties. Answering the classification question often boils down to understanding the geometry of these moduli spaces. In the past few years, powerful new tools have been developed in moduli theory but there are still many open questions, especially in higher dimensions. This workshop will bring together a diverse group of researchers in moduli theory to discuss new developments and perspectives in the field.