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Department of Mathematics,
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****************************