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Department of Mathematics,
University of California San Diego

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Math 208: Seminar in Algebraic Geometry

Dr. Patricio Gallardo

UC Riverside

Moduli spaces of points in flags of affine spaces and polymatroids

Abstract:

In this talk, we describe different compactifications of the moduli space of n distinct weighted labeled points in a flag of affine spaces. These spaces are constructed via generalizations of the Fulton-MacPherson compactification. For specific weight choices, we show that our moduli problem admits toric compactifications that coincide with the polypermutohedral variety of Crowly-Huh-Larson-Simpson-Wang and with the polystellahedral variety of Eur-Larson. This is joint work with J. Gonzalez-Anaya and J.L. Gonzalez.

February 28, 2025

4:00 PM

APM 7321

Research Areas

Algebraic Geometry

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