University of Toledo

Department of Mathematics and Statistics

December 4, 2017
Mihai D. Staic, (BGSU)
Secondary Hochschild Cohomology
Abstract: In this talk I will give an introduction to secondary Hochschild Cohomology, discussing the initial motivation and the main properties for this construction.

December 4, 2017
Mihai D. Staic, (BGSU)
Secondary Hochschild Cohomology
Abstract: In this talk I will give an introduction to secondary Hochschild Cohomology, discussing the initial motivation and the main properties for this construction.

November 6, 2017
Alimjon Eshmatov
On quivers and their representations
Abstract: A quiver is a directed graph. A representation of a quiver is an assignment of a vector space to each vertex and a linear map to each arrow. One of the most fundamental theorems in this theory is Gabriel's theorem. In this talk I will state this theorem and outline its proof.

October 23, 2017
Nate Iverson
Quadratic forms over finite fields
Abstract: Will define quadratic form and prove the equivalency of the 2 rival definitions for any field. Discuss non-degeneracy (in arbitrary characteristic), equivalence of forms, and classify all non-degenerate quadratic forms over a finite field (up to change of variable). We will explicitly cover the characteristic 2 case and mention the Chevalley-Warning theorem and Witt's theorem (for extending isometries).

September 25, 2017
Alimjon Eshmatov
Noncommutative deformation of Kleinian singularities
Abstract: Associated to a finite subgroup $G$ of $SL_2 (\mathbb{C})$, there is a family of noncommutative algebras representing a deformation of the coordinate ring of the classical Kleinian singularity $\mathbb{C}^2//G$. These algebras found to be related to many areas of mathematics: mathematical physics, algebraic geometry, symplectic geometry to name few. In the talk, we will give overview of these algebras and related results.