Algebra and Number Theory Seminar
Questions or comments?

Posted January 15, 2017

Last modified March 22, 2017

Peter Jorgensen, Newcastle University

Thick subcategories of d-abelian categories

Let d be a positive integer. The notion of d-abelian categories was introduced by Jasso. Such a category does not have kernels and cokernels, but rather d-kernels and d-cokernels which are longer complexes with weaker universal properties. Canonical examples of d-abelian categories are d-cluster tilting subcategories of abelian categories. We introduce the notion of thick subcategories of d-abelian categories. We show that functorially finite thick subcategories of d-cluster tilting subcategories are in bijection to so-called d-rigid epimorphisms. This generalises a classic result by Geigle and Lenzing. We apply this to show a classification of the thick subcategories of a family of d-abelian categories associated to quivers of type A_n. This is a report on joint work with Martin Herschend and Laertis Vaso.

Probability Seminar
Questions or comments?

Posted March 9, 2017

Last modified March 13, 2017

Hui-Hsiung Kuo, Mathematics Department, LSU

Ito's formula for adapted and instantly independent stochastic processes

Topology Seminar
Seminar website

Posted February 3, 2017

Last modified March 21, 2017

Francesco Lin, Princeton University

TBD

Postponed until Fall 2017

Colloquium
Questions or comments?

Posted October 25, 2016

Last modified March 6, 2017

Qing Xiang, University of Delaware

Applications of Linear Algebraic Methods in Combinatorics and Finite Geometry

Abstract: Most combinatorial objects can be described by incidence, adjacency, or some other (0,1)-matrices. So one basic approach in combinatorics is to investigate combinatorial objects by using linear algebraic parameters (ranks over various fields, spectrum, Smith normal forms, etc.) of their corresponding matrices. In this talk, we will look at some successful examples of this approach; some examples are old, and some are new. In particular, we will talk about the recent bounds on the size of partial spreads of H(2d-1,q^2) and on the size of partial ovoids of the Ree-Tits octagon.