# Mathematics Colloquia and Seminars

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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.