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Department of Mathematics,
University of California San Diego

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Math 211A: Algebra Seminar

Dr. Kent Vashaw

UCLA

Extension of support varieties to infinite-dimensional modules

Abstract:

Support varieties for Hopf algebras (and more general tensor categories) give a way of associating geometry to finite-dimensional modules. The support variety of a module is empty if and only if the module is projective. We give a method for extending a support variety theory from the finite-dimensional modules to the infinite-dimensional ones, and give conditions under which the theory still detects projectivity. This talk will include joint work with Nakano—Yakimov and with Cai.

Host: Karthik Ganapathy

April 14, 2025

3:00 PM

APM 7321

Research Areas

Algebra

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