Events

Ty Ghaswala, Department of Pure Mathematics, University of Waterloo

“Inspector Gadget’s Dilemma and Other Short Stories”

Inspector gadget’s dilemma, or as it’s more commonly known, the extension problem, is a central part of our quest to prove some of the group theory statements outl

Nasir Sohail, Institute of Mathematics,University of Tartu, Estonia

“Representation extension and amalgamation in pomonoids”

I shall briefly discuss the history of the amalgamation problem for semigroups.

Janis Lazovskis, Department of Pure Math, University of Waterloo

“Introducing characteristic classes”

We will begin by introducing vector and tangent bundles, cohomology groups, and other background information to motivate characteristic classes.

Alexey Popov, Department of Pure Math University of Waterloo

“On selfadjoint extensions of semigroups of partial isometries”

Let S be a semigroup of partial isometries acting on a complex, infinite-dimensional, sepa- rable Hilbert space.

Volodymyr Mazorchuk, Uppsala University, Sweden

“Overview of higher representation theory”

Classical representation theory studies representations of algebras by linear operators. Higher representation theory is a recent upgrade which studies representations of 2-categories by functors and natural transformations.

Ross Willard,Pure Mathematics Department, University of Waterloo

“A crash course in universal algebra”

David Wagner, University of Waterloo

“The Kadison-Singer Problem III”

We overview the large-scale structure of the proof of Marcus, Spielman, and Srivastava. In the process we introduce some of the main ideas: mixed determinants, real stable polynomials, and interlacing families. We prove a few of the elementary properties of these objects.

Robert Garbary, Department of Pure Math University of Waterloo

“More on free resolutions”

I’m going to tell you about the things that Ty told you I will tell you about.

Nasir Sohail, Institute of Mathematics, University of Tartu, Estonia

“Right congruence extension, flatness and amalgamation in pomonoids”

This will be a continuation of my previous talk.