# Events - 2020

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

## Colloquium

Zhouli Xu, MIT

"In and around stable homotopy groups of spheres"

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

## Number Theory Seminar

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

## Geometry Working Seminar

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Bryant-Salamon G2 manifolds and coassociative fibrations"

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

## Frobenius Algebras and TQFT Learning Seminar

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

## Analysis Seminar

Kathryn Hare, Department of Pure Mathematics, University of Waterloo

"The size of complementary sets"

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

## Valuative Tree Seminar

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

## Number Theory Seminar

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

## Logic Seminar

Jinhe Ye, University of Notre Dame

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

## Frobenius Algebras and TQFT Learning Seminar

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

## Colloquium

Marco Gualtieri, University of Toronto

"From generalized Kahler geometry to noncommutative algebra"

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

## Analysis Seminar

Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"On C*-Envelopes of Semicrossed Products"

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

## Geometry & Topology Seminar

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.

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

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

"Honeycombs and the Horn Problem"

Wednesday, February 5, 2020 — 2:30 PM EST

## Valuative Trees Seminar

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
Tuesday, February 4, 2020 — 1:30 PM EST

## Number Theory Seminar

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. Lapkova.

Tuesday, February 4, 2020 — 11:00 AM EST

## Geometry Working Seminar

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.

Tuesday, February 4, 2020 — 10:00 AM EST

## Frobenius Algebras and TQFT Learning Seminar

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

Friday, January 31, 2020 — 3:30 PM EST

## Analysis Seminar

Guy Salomon, Department of Pure Mathematics, University of Waterloo

"The mysterious connection between proximal actions and Poisson boundaries"

Friday, January 31, 2020 — 2:35 PM EST

## Geometry & Topology Seminar

Andrew Staal, Department of Pure Mathematics, University of Waterloo

"Ubiquity of Smooth Hilbert Schemes"

Tuesday, January 28, 2020 — 11:00 AM EST

## Geometry Working Seminar

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

Tuesday, January 28, 2020 — 10:30 AM EST

## Model Theory Learning Seminar

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"NIP XI"

We continue section 3.4 of Simon's Guide to NIP theories.

M3 3103

Tuesday, January 28, 2020 — 10:00 AM EST

## Frobenius Algebras and TQFT Learning Seminar

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

Monday, January 27, 2020 — 11:30 AM EST

## Arakelov Theory Seminar

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"Introduction to Arakelov Theory"

I will introduce the basic concepts of Arakelov theory with a focus on arithmetic surfaces.

MC 5417

Friday, January 24, 2020 — 2:30 PM EST

## Geometry & Topology Seminar

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

Wednesday, January 22, 2020 — 3:30 PM EST

## Analysis Seminar

Alex Chirvasitu, University of Buffalo

"Loosely embeddable metric spaces"

Embedding finite metric spaces isometrically into Hilbert spaces has elicited some interest outside of pure mathematics due to applications to fields like computer vision, machine learning, the structure of networks and other such areas.

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