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Geometry & Topology Seminar

Title: Hermitian-Einstein metrics for reflexive sheaves on normal varieties
Speaker: Richard Wentworth (University of Maryland)
Date: 24 November 2021
Time: 9:00 pm
Venue: MS teams (team code hiq1jfr)

I will discuss some aspects of a singular version of the Donaldson-Uhlenbeck-Yau theorem for bundles and sheaves over normal complex varieties satisfying some conditions. Several applications follow, such as a characterization of the case of equality in the Bogomolov-Gieseker theorem. Such singular metrics also arise naturally under certain types of degenerations, and I will make some comments on the relationship between this result and the Mehta-Ramanathan restriction theorem.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 08 Dec 2021