Events - February 2020

Wilson Poulter, Department of Pure Mathematics, University of Waterloo

"Ultraproducts, Hyperreals, and Pseudofinite Graphs"

An ultraproduct is a construction used in mathematical logic to construct limits of first-order structures. Due to a result of Jerzy Los, the first-order properties of these limits is very well understood, allowing one to construct counter-examples as well as structures that are interesting in and of themselves.

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Return Sets on Algebraic Varieties"

Andrew Staal, Department of Pure Mathematics, University of Waterloo

"Reducibility of Varieties of Commuting Matrices"

We will present some well-known results on reducibility of the varieties C(k,n) of commuting k-tuples of nxn-matrices.  In particular, we will discuss the Motzkin—Taussky Theorem proving irreducibility of C(2,n) and Guralnick’s Theorem, which shows that C(3,n) is reducible when n ≥ 29.  

MC 5413

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

This week, we will further talk about the generators and relations for 2Cob.

MC 5417

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.