University of Saskatchewan

AV-modules are representations of Lie algebra V of vector fields that admit a compatible action of the commutative algebra A of functions. This notion is a natural generalization of D-modules. In this talk we shall start by reviewing the theory of AV...

A symplectic Hamiltonian manifold consists of a Lie group action on a symplectic manifold, together with the additional structure of a moment map, which encodes the group action in terms of the assignment of Hamiltonian vector fields. In special...

The question of integrality for semi-simple algebraic groups over the field of rational numbers was esablished by Chevalley in the 1950s as part of his work on associating affine group schemes with groups over integers. For infinite-dimensional Kac...

The main object of this talk is the family of commutative Bethe subaglebras in the Yangian. It is a natural family of commutative subalgebras of the Yangian parameterized by the simple adjoint Lie group. In my talk I will discuss how this family is...

Abstract: The Jones polynomial of a knot, discovered in 1983, is a very subtle invariant that is related to a great deal of mathematics and physics. This talk will be an overview of quantum field theories in dimensions 2, 3, 4 and 5 that are...

In 1982, Livingston showed that several examples of Seifert surfaces that are not isotopic in the 3-sphere become isotopic when pushed into the 4-ball. This is consistent with a common intuition in topology: objects that are somehow similar should...

The Data Science Bootcamp is primarily intended for graduate-level students with a research interest in data science, although the Bootcamp will also appeal to senior undergraduate students who have an interest in pursuing academic studies in this...

Back in the old days, before the invention of Apple Wireless Airpods, people were more familiar with the tendency of the headphones in their pockets to become knotted. It seems natural to expect that the probability that a random curve is tangled...

In 2016, Gay and Kirby showed that every compact smooth 4-manifold can be decomposed into three standard pieces. A particularly nice feature of this decomposition is that the smooth topology of the 4-manifold can be encoded by curves on a surface. In...