Events

Zhiyou Wu, Pure Mathematics, University of Waterloo

"Introduction to Hodge structures"

Hodge structure is an abstract notion modeled on the Hodge decomposition of cohomology groups of compact Kähler manifolds. We will introduce the basic notion of Hodge structure and see its relation with geometric objects such as abelian varieties and Riemann surfaces. If time permits we will discuss variation of Hodge structure, which is an important tool in complex algebraic geometry.

Rahim Moosa, Pure Mathematics, University of Waterloo

"Dp-minimality (NIP XXI)"

We take a break from NIP to talk about dp-minimality. I will use a 2011 paper by Dolich, Goodrick, and Lippel.

Ken Davidson, Department of Pure Mathematics, University of Waterloo.

The Kadison-Singer problem is a long-standing problem in operator algebras that turns out to be equivalent to interesting problems in frame theory and harmonic analysis. It was recently solved using probabalistic matrix theory techniques is used in algebraic graph theory.

Jason Bell, Department of Pure Mathematics, University of Waterloo

"A question about differentiably closed ideals"

Abstract: The purpose of this lecture is to pose a problem that is motivated by work from the recent PhD thesis of Omar Sanchez, concerning identifying the radical ideals in a commutative algebra that are stable under the action of a family of derivations. We will discuss the motivation for this problem and give some partial results.