Events

Alessandro Malusà, University of Saskatchewan

"Complex AJ conjecture"

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Etale descent"

Following the Bakker-Brunebarbe-Tsimerman paper, we show that quotients by etale equivalence relations exist for definable analytic spaces.

MC 5479

Levon Haykazyan, University of Waterloo

"Pseudo-finite sets and dimension, Part 8"

I'll talk about unimodularity. It was introduced by Hrushovski in early 90s as a generalisation of local finiteness. Unimodularity has recently reappeared in the pseudo-finite setting as a tool to develop intersection theory.

MC 5403.

Michael Jury, University of Florida

"A Tour of Noncommutative Function Theory"

Ragini Singhal, Department of Pure Mathematics, University of Waterloo

"Deformations of Nearly G₂ Instantons"

In this talk we will discuss the deformation theory for instantons on  seven-manifolds with nearly parallel G₂-structure of type-I. We will see how the space of perturbations of instantons can be identified with the eigenspaces of the Dirac operator, which can be used to prove that all the irreducible instantons with semisimple structure group are rigid.

MC 5413

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"Definabilization"

Given an affine variety, scheme, or algebraic space defined over the complex numbers one may construct an associated definable analytic space in a functorial manner. With this definabilization functor in hand it becomes possible to compare categories of algebraic coherent sheaves and definable coherent sheaves. We will explain the constructions above and discuss why it is interesting from a geometric perspective.

MC 5479

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"Quotient singularities"

Singularities of algebraic varieties which are quotients of a vector space by a finite group provide interesting connections between algebraic geometry, representation theory, and group theory.  I will discuss this circle of ideas with a focus on applications to algebraic geometry.

MC 5403

Anton Bernshteyn, Carnegie Mellon University

"Independent sets in algebraic hypergraphs"