Algebra and Number Theory Seminar
Questions or comments?

Posted October 11, 2019

Last modified November 27, 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.

Applied Analysis Seminar
Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233
Junshan Lin, Auburn University

Title pending

Applied Analysis Seminar
Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233
Rudi Weikard, University of Alabama at Birmingham

Title pending

Geometry and Topology Seminar
Seminar website

Posted November 11, 2019

3:30 pm - 4:30 pm Lockett 233
Zhenkun Li, MIT

TBA