Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Dr. Joaquin Moraga
UCLA
Cluster type varieties
Abstract:
Toric varieties are the quintessential connection between algebraic geometry and combinatorics. Projective toric varieties are compactifications of the algebraic torus for which the volume form has poles at every boundary divisor. In this talk, we will introduce a new class of projective varieties: cluster type varieties. These are compactifications of the algebraic torus for which the volume form has no zeros at the boundary divisor. We will explain how to understand these varieties from the perspective of birational geometry, together with some applications of this perspective. Time permitting, we will explain some connections with varieties coming from combinatorics.
Host: James McKernan
October 31, 2025
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
