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Tensor Triangular Geometry with Applications to Representation Theory
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Speaker(s): Prof. Daniel Nakano (University of Georgia)
Time: Jan 20, 2020, 10:40AM-11:30AM
Venue: 201 Jinqizhigu Building, No.1 Tangling Road, Nanshan District, Shenzhen

Abstract


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.


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