## University COVID-19 update

### Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

# Events

## February 2020

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### Frobenius Algebras and TQFT Learning Seminar

Tuesday, February 4, 2020 — 10:00 to 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

### Geometry Working Seminar

Tuesday, February 4, 2020 — 11:00 to 11:00 AM EST
Eric Boulter, Department of Pure Mathematics, University of Waterloo      "Vector Bundles on Non-Kähler Elliptic Fibre Bundles"      In this talk we will discuss non-Kähler complex surfaces which occur as elliptic fibre bundles, and some invariants of holomorphic vector bundles on these surfaces.

### Number Theory Seminar

Tuesday, February 4, 2020 — 1:30 PM EST
Stanley Xiao, University of Toronto      "The density of power-free values of polynomials"      In this talk we show that any polynomial $F(x_1, \cdots, x_n)$ with integer coefficients and degree $d \geq 3$ and which satisfy basic necessary conditions take on the expected density of $k$-free values, provided that $k \geq \min\{d-1, 3d/4\}$. This generalizes results of Hooley and Browning, who showed the same result with $n = 1$. This is joint work with K.

### Valuative Trees Seminar

Wednesday, February 5, 2020 — 2:30 PM EST
Andrej Vukovic, Department of Pure Mathematics, University of Waterloo   "Potential Theory for Metric Trees"   We discuss potential theory for general metric trees and explain how to apply it in our study of the valuative tree.   MC 5403

### Grad Student Colloquium

Thursday, February 6, 2020 — 4:30 PM EST

Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo

"Honeycombs and the Horn Problem"

### Geometry & Topology Seminar

Friday, February 7, 2020 — 10:00 to 10:00 AM EST

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.

### Analysis Seminar

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

Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"On C*-Envelopes of Semicrossed Products"

### Colloquium

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

Marco Gualtieri, University of Toronto

"From generalized Kahler geometry to noncommutative algebra"

### Frobenius Algebras and TQFT Learning Seminar

Tuesday, February 11, 2020 — 10:00 to 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

### Logic Seminar

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

Jinhe Ye, University of Notre Dame

"A model theoretic adic space"

### Number Theory Seminar

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

### Valuative Tree Seminar

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

### Analysis Seminar

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

Kathryn Hare, Department of Pure Mathematics, University of Waterloo

"The size of complementary sets"

### Frobenius Algebras and TQFT Learning Seminar

Tuesday, February 18, 2020 — 10:00 to 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

### Geometry Working Seminar

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

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Bryant-Salamon G2 manifolds and coassociative fibrations"

### Number Theory Seminar

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

### Colloquium

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

Zhouli Xu, MIT

"In and around stable homotopy groups of spheres"

### Frobenius Algebras and TQFT Learning Seminar

Tuesday, February 25, 2020 — 10:00 to 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

### Logic Seminar

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

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

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

### Geometry Working Seminar

Tuesday, February 25, 2020 — 11:00 to 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

### Computability Learning Seminar

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"

### Algebra Seminar

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

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Return Sets on Algebraic Varieties"

### Valuative Tree Seminar

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

### Joint PM/CO Grad Colloquium

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.

### Geometry & Topology Seminar

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

Michael Klug, University of California Berkeley

"Concordance of homotopic spheres in 4-manifolds"

### Analysis Seminar

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"

### February 2020

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