Events - 2020

Angelos Koutsianas, University of British Columbia

"Solving generalized Fermat equations with Frey hyperelliptic curves"

In this talk, I will talk about Darmon's program and the resolution of the generalized Fermat equation of signature (p,p,5) using Frey hyperelliptic curves. This is joint work with Imin Chen (Simon Fraser University).

MC 5417

Patrick Naylor, Department of Pure Mathematics, University of Waterloo

"The category of cobordisms (Part III)"

We specialize to the 2-cobordism category, and work towards developing a set of generators and relations.  

MC 5417

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"An introduction to the Laplacian operator on a metrized graph"

In this presentation we shall attempt to give a self contained introduction to finite metrized graphs. Following this introduction we shall discuss how to define a Laplacian operator on a finite metrized graph and discuss its basic properties. 

MC 5403

Jinhe Ye, University of Notre Dame

"A model theoretic adic space"

Marco Gualtieri, University of Toronto 

"From generalized Kahler geometry to noncommutative algebra"

Note: Special time and room

Sergey Cherkis, University of Arizona

"Compactification of Monopole Moduli Spaces"

Monopole's dynamic is well approximated by the geodesic motion on its moduli space.  This provided the initial motivation for studying monopole moduli spaces.  Recently, these spaces acquired new significance as they deliver numerous examples of gravitational instantons and of spaces of vacua of quantum field theories.  In this light the L2 cohomology of these spaces is particularly important.

Guy Salomon, Department of Pure Mathematics, University of Waterloo

"The mysterious connection between proximal actions and Poisson boundaries"

Ragini Singhal, Department of Pure Mathematics, University of Waterloo

"Deformation theory of nearly G_2 manifolds - 2"

In this talk we will prove some results about the cohomology of nearly G_2 manifolds which we will use to define the space of first order deformation of a nearly G_2 structure. We will then prove that it is an eigenspace of the Laplace operator. Time permitting we will also define the second  order deformations and their formulation. This talk is based on a joint work in progress with Shubham Dwivedi.

MC 5413

Partrick Naylor, Department of Pure Mathematics, University of Waterloo

"The category of cobordisms"

In this talk, we’ll discuss how n-manifolds considered up to cobordism form a category, as well as some of the subtleties involved.

MC 5417

Xi Sisi Shen, Northwestern University

"Estimates for metrics of constant Chern scalar curvature"

We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the K\"ahler setting.

MC 5403