Noncommutative Geometry

Speaker: Masoud Khalkhali (Western)

"Random Matrix Theory (III)"

Time: 12:30

Room: MC 107

Geometry and Topology

Speaker: Aji Dhillon (Western)

"Quotient stacks as root stacks"

Time: 15:30

Room: MC 107

Being a root stack imposes strong conditions on inertia groups. Given a group acting on an algebraic variety I will discuss when these conditions are fulfilled and the resulting quotient turns out to be a root stack. This joint work with Ivan Kobyzev uses some fundamental theorems of algebraic geometry, Abhyankar's lemma, the Chevellary-Shephard-Todd theorem and Luna's etale slice theorem. These results will be introduced.

Analysis Seminar

Speaker: Benoit Charbonneau (Waterloo)

"Analytic aspects of the Nahm transform for spatially periodic instantons"

Time: 15:30

Room: MC 108

The study of instantons on the infinite cylinder $\mathbb{R} \times \mathbb{T}^3$ is facilitated by the Nahm transform, a sort of non-linear Fourier transform for connections. Proving that the Nahm transform does what one believes it should do is a task requiring input from geometric analysis and algebraic geometry. This talk focuses on the geometric analysis aspects. This is joint work with Jacques Hurtubise.

Speaker's web page: http://www.math.uwaterloo.ca/~bcharbon/

Homotopy Theory

Speaker: Luis Scoccola (Western)

"Adjoint functors between quasicategories"

Time: 13:00

Room: MC 107

We will generalize the concept of adjoint functors to the theory of quasicategories.