Events

Billy Lee, Department of Pure Mathematics, University of Waterloo

“The Jacobson Density Theorem”

Following our classification of Semisimple Artinian Rings with Wedderburn’s Theorem, we now shift our focus towards primitive rings.

Cameron Williams, Department of Pure Mathematics, University of Waterloo

“Thin is In! Zero Sets and no Regrets”

This week we will continue discussing zero sets of holomorphic functions, particularly con- tinuing the study of thin sets and their properties.

Michael Baker, Department of Pure Mathematics, University of Waterloo

“Representations of sl(3;C), again”

Continuing from last time, we describe the possible weights of a representation of sl(3;C), give a complete classification of such representations, and in the process, work through a few illuminating examples.

Talk 1. Janis Lazovskis, Pure Mathematics Department, University of Waterloo

“Sheaf cohomology and manifolds”

We will discuss the concept of sheaves of functions on manifolds and the related definitions, as well as the notion of an exact sequence of sheaves.

Ian Payne, Department of Pure Mathematics, University of Waterloo

“The Structure Theorem of Artin and Wedderburn”

I will combine all the pieces collected so far to prove the famous structure theorem for semisimple Artinian rings.

Adam Dor On, Department of Pure Mathematics, University of Waterloo

“Manifolds, Real and Complex.”

We prove the polydisc version of Hartogs’ theorem as an application of the theory discussed so far. Next, we turn to some preliminaries on real manifolds where the main tool we will need is Stokes theorem.