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Algebraic Geometry Seminar

Uhlenbeck compactification as a Bridgeland moduli space
Wednesday, October 28, 2020
4:00 PM-12:00 AM
Zoom Off Campus Location
In recent years, Bridgeland stability conditions have become a central tool in the study of moduli of sheaves and their birational geometry. However, moduli spaces of Bridgeland semistable objects are known to be projective only in a limited number of cases. After reviewing the classical moduli theory of sheaves on curves and surfaces, I will present a new projectivity result for a Bridgeland moduli space on an arbitrary smooth projective surface, as well as discuss how to interpret the Uhlenbeck compactification of the moduli of slope stable vector bundles as a Bridgeland moduli space. The proof is based on studying a determinantal line bundle constructed by Bayer and Macrì. Time permitting, I will mention some ongoing work on PT-stability on a 3-fold. Speaker(s): Tuomas Tajakka (University of Washington)
Building: Off Campus Location
Location: Off Campus Location
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics