University of Regina

Let k be a field of characteristic p>0. I will explain how the work of Frankland and Spitzweck gives rise to Steenrod operations on the mod p motivic cohomology of smooth schemes defined over k. By comparing the operations over a base field of...

I will discuss how Steenrod operations on mod p Chow groups can be used to study problems in algebra and algebraic geometry. For quadratic forms, Steenrod squares on mod 2 Chow groups are used. Some of the problems that can be solved by studying...

In an introduction to proofs course, students learn to write proofs informally in the language of set theory and classical logic. In this talk, I'll explore the alternate possibility of teaching students to write proofs informally in the language of...

In general Topological Quantum Field Theories are very diverse, but we may focus on low dimensional cases. As a starting point, we'll give a complete classification of 1-dimensional TQFTs. To this end, I'll present a review of dualization in a...

This talk describes an extension of Ravenel–Wilson Hopf ring techniques to C 2-equivariant homotopy theory. Our main application and motivation for introducing these methods is a computation of the RO(C 2)-graded homology of C 2-equivariant Eilenberg...

In this talk, we will first review the concept of inverse-closedness for a pair of algebras and its connection with an important property of groups known as being Hermitian (or symmetric). This property appears when one considers inverse-closedness...

In this talk, we describe the construction of the Bockstein spectral sequence through an exact couple. Also we present an application of the Bockstein spectral sequence in algebraic topology.

Discs are among the simplest manifolds, but their groups of diffeomorphisms can be very complicated. I will describe the techniques from geometry topology and dynamics that were used to understand these groups in low dimensions, the relationship of...

The “key risk measures” such as Value-at-Risk (VaR) and Conditional Tail Expectation (CTE) are important for capital allocation decisions as they inform actuaries and risk managers about the degree to which a line of business or a company is exposed...

“What kind of rings can be represented as singular cohomology rings of spaces?” is a classic problem in algebraic topology, posed by Steenrod. When the rings are polynomial, this problem was especially well studied by various approaches, and finally...