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Tensor Triangular Geometry with Applications to Representation Theory

Algebra & Discrete Mathematics

Speaker: Dan Nakano, U of Georgia
Location: 1147 MSB
Start time: Mon, Dec 9 2019, 12:10PM

Tensor triangular geometry as introduced by Balmer is a powerful idea which can
be used to extract the ambient geometry from a given tensor triangulated
category. In this talk I will present a general setting for a compactly
generated tensor triangulated category which enables one to classify thick
tensor ideals and the spectrum Spc. Several examples involving Lie algebra/Lie+superalgebras and quantum groups will be presented where we show how to
construct a Zariski spaces and demonstrate how these topological spaces governs
the tensor triangulated geometry for various categories. If time permits, I
will also explain recent results that generalize these ideas to the
non-commutative setting



This is during finals week. If you know you have a final to proctor at noon that day but are keen to make the seminar, email mjvazirani@ucdavis.edu about possibly shifting the time several weeks in advance.