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Tuesday, January 14, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted October 11, 2019
Last modified November 27, 2019

3:10 pm - 4:00 pm TBA Originally scheduled for 3:10 pm, Tuesday, December 3, 2019

Kent Vashaw, Louisiana State University
Noncommutative tensor triangular geometry

We describe a general theory of the prime spectrum of non-braided monoidal triangulated categories. These notions are a noncommutative analogue to Paul Balmer's prime spectra of symmetric tensor-triangulated categories. Noncommutative monoidal triangulated categories appear naturally as stable module categories for non-quasitriangular Hopf algebras and as derived categories of bimodules of noncommutative algebras. In stable module categories of Hopf algebras, the support theory of the category, as described by Benson-Iyengar-Krause, is linked to the Balmer spectrum, which is shown to be the final support datum. We will describe how this connection can be used to compute Balmer spectra in general, and we will compute the Balmer spectra for stable module categories of the small quantum group of a Borel subalgebra at a root of unity, and the stable module categories for smash coproduct Hopf algebras of group algebras with coordinate rings of groups. This is joint work with Daniel Nakano and Milen Yakimov.

Monday, February 10, 2020

Applied Analysis Seminar  Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233

Junshan Lin, Auburn University
Title pending

Monday, March 9, 2020

Applied Analysis Seminar  Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233

Rudi Weikard, University of Alabama at Birmingham
Title pending

Wednesday, March 11, 2020

Geometry and Topology Seminar  Seminar website

Posted November 11, 2019

3:30 pm - 4:30 pm Lockett 233

Zhenkun Li, MIT
TBA