Events - 2020

Tuesday, March 3, 2020 — 2:00 PM EST

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Kleene's $\mathcal{O}$"

Kleene's $\mathcal{O}$ is a system for ordinal notation used in computability theory that relates the concepts of constructive and computable ordinals. This notation allows one to unambiguously perform transfinite induction on ordinals by ensuring that there is a unique representation for each ordinal.

We will prove some properties about the notation system and show that there are ordinals which are not computable.

MC 5413

Tuesday, March 3, 2020 — 1:30 PM EST

Sacha Mangarel, Centre de Recherches Mathématiques

"On Low Discrepancy Multiplicative Sequences"

Tuesday, March 3, 2020 — 10:30 AM EST

Wilson Poulter, Department of Pure Mathematics, University of Waterloo

"NIP XIII"

We continue section 4.1 of Simon's Guide to NIP theories.

MC 5479

Tuesday, March 3, 2020 — 10:00 AM EST

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

In the half part, we will complete the leftover on the generators and relations. Then we will setup for Frobenius algebras. Finally, we will go-ahead to the algebra structure. 

MC 5417

Monday, March 2, 2020 — 4:00 PM EST

Ilan Hirshberg, Ben Gurion University of the Negev

"Mean dimension and radius of comparison"

Friday, February 28, 2020 — 3:30 PM EST

Alex Rutar, Department of Pure Mathematics, University of Waterloo

"Geometric and Combinatorial Separation Conditions for Iterated Function Systems"

Friday, February 28, 2020 — 3:00 PM EST

Michael Klug, University of California Berkeley

"Concordance of homotopic spheres in 4-manifolds"

Wednesday, February 26, 2020 — 3:30 PM EST

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.

Wednesday, February 26, 2020 — 2:30 PM EST

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"An introduction to the Laplacian operator on a metrized graph: Part 2"

We will continue our discussion of harmonic analysis on a finite metrized graph. The goal is to finish the introduction to the theory and go over some explicit examples.

MC 5403

Tuesday, February 25, 2020 — 2:30 PM EST

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Return Sets on Algebraic Varieties"

Tuesday, February 25, 2020 — 2:00 PM EST

Dino Rossegger, Department of Pure Mathematics, University of Waterloo

"Iterated Reflection principles and Feferman's Completeness Theorem"

Tuesday, February 25, 2020 — 11:00 AM EST

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

Tuesday, February 25, 2020 — 10:30 AM EST

Alexi Taylor Block Gorman, University of Illinois at Urbana-Champaign

"Continuous Regular Functions: where automata theory meets metric geometry"

Tuesday, February 25, 2020 — 10:00 AM EST

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

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

MC 5417

Monday, February 24, 2020 — 4:00 PM EST

Zhouli Xu, MIT

"In and around stable homotopy groups of spheres"

Tuesday, February 18, 2020 — 1:30 PM EST

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

Tuesday, February 18, 2020 — 11:00 AM EST

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Bryant-Salamon G2 manifolds and coassociative fibrations"

Tuesday, February 18, 2020 — 10:00 AM EST

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

Friday, February 14, 2020 — 3:30 PM EST

Kathryn Hare, Department of Pure Mathematics, University of Waterloo

"The size of complementary sets"

Wednesday, February 12, 2020 — 2:30 PM EST

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

Tuesday, February 11, 2020 — 1:30 PM EST

Jerry Wang, Department of Pure Mathematics, University of Waterloo

"Density of polynomials with squarefree discriminant II"

In this talk, we will discuss the squarefree sieve for discriminants of arbitrary polynomials. We will find that there are striking differences between odd and even degree polynomials, where additional techniques of counting on varieties will be required for the latter. This is joint work with Manjul Bhargava and Arul Shankar.

MC 5417

Tuesday, February 11, 2020 — 10:30 AM EST

Jinhe Ye, University of Notre Dame

"A model theoretic adic space"

Tuesday, February 11, 2020 — 10:00 AM EST

Patrick Naylor, Department of Pure Mathematics, University of Waterloo

"The category of cobordisms (Part II)"

We will continue to discuss the category of cobordisms, along with more examples. 

MC 5417

Monday, February 10, 2020 — 4:00 PM EST

Marco Gualtieri, University of Toronto 

"From generalized Kahler geometry to noncommutative algebra"

Friday, February 7, 2020 — 3:30 PM EST

Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"On C*-Envelopes of Semicrossed Products"

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