## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Thursday, March 30, 2023 — 4:00 PM EDT

**Paul Skoufranis, York University**

**"An Overview of Free and Bi-Free Probability"**

In this talk, we will provide an overview of the definitions, structures, examples, results, and applications in free probability and its recent generalization known as bi-free probability.

This seminar will be held both online and in person:

Thursday, March 30, 2023 — 2:30 PM EDT

**Aleksandar Milivojevic, Max Planck Institute for Mathematics, Bonn**

**"Topological aspects of almost complex structures on the six sphere"**

Thursday, March 30, 2023 — 10:00 AM EDT

**Nic Banks, Department of Pure Mathematics, University of Waterloo**

**"The inverse Galois problem"**

MC 5403

Wednesday, March 29, 2023 — 2:00 PM EDT

**Keke Zhang, Department of Pure Mathematics, University of Waterloo**

**"More about the Langlands Program"**

We will talk about the Fourier-Mukai transform and how it relates to geometric Langlands correspondence, Geometric Langlands for reductive groups (geometric Satake equivalence) and their examples. If time allows, we will give a deformed version of the Fourier-Mukai transform.

This seminar will be held both online and in person:

Wednesday, March 29, 2023 — 1:00 PM EDT

**Christine Eagles, Department of Pure Mathematics, University of Waterloo**

**"Domination in stable theories"**

Tuesday, March 28, 2023 — 2:30 PM EDT

**Lucia Martin Merchan, Department of Pure Mathematics, University of Waterloo**

**"Formality of Joyce's manifolds"**

Tuesday, March 28, 2023 — 2:30 PM EDT

**Salma Shaheen, Department of Pure Mathematics, University of Waterloo**

**"Algebras from Finite Group Actions"**

Tuesday, March 28, 2023 — 1:30 PM EDT

**William Gollinger, University of Waterloo**

**"Four" proofs that \pi_1(G) is abelian**

Tuesday, March 28, 2023 — 11:30 AM EDT

**Cameron Stewart, Department of Pure Mathematics, University of Waterloo**

**"On prime factors of binary recurrence sequences"**

We shall discuss estimates for the greatest prime factor of terms of binary recurrence sequences.

MC 5479

Monday, March 27, 2023 — 2:30 PM EDT

**Guoliang Yu, Texas A&M University**

**"Index theory of the Dirac operator on manifolds with polyhedral boundary and its applications"**

I will introduce a new index theory for Dirac operators on manifolds with polyhedral boundary and discuss how this theory can be applied to solve Gromov's dihedral extremality conjecture on scalar curvature. This is joint work with Jinmin Wang and Zhizhang Xie. This talk will be accessible to non-experts including graduate students.

MC 5501

Thursday, March 23, 2023 — 4:00 PM EDT

**Bartlomiej Zawalski, Polish Academy of Sciences**

**"On affine bodies with rotationally invariant sections"**

Thursday, March 23, 2023 — 2:30 PM EDT

**Luke MacLean, Department of Pure Mathematics, University of Waterloo**

**"Metatheorems (Part 2)"**

We will introduce the game metatheorem of Antonio Montalban and discuss its function. Several examples of its usefulness will be given.

MC 5403

Thursday, March 23, 2023 — 2:30 PM EDT

**Alexander Yampolsky, V.N. Karazin National University, Kharkiv, Ukraine**

**"Some aspects of geometry of unit vector fields"**

Thursday, March 23, 2023 — 10:00 AM EDT

**Maya Gusak, University of Waterloo**

**"Elliptic Curve Cryptography"**

MC 5403

Wednesday, March 22, 2023 — 2:00 PM EDT

**Francisco Villacis, Department of Pure Mathematics, University of Waterloo**

**"Integrable System on Smooth Projective Toric Varieties, Part 2"**

This is a continuation to my previous talk on building an integrable system on smooth projective toric varieties. In my previous talk, I explained how to view a smooth projective toric variety as a symplectic reduction. In this talk I will briefly review this construction and from here show that the torus action in our variety is Hamiltonian and explain how the integrable system is constructed.

Wednesday, March 22, 2023 — 1:00 PM EDT

**Leo Jimenez, Department of Pure Mathematics, University of Waterloo**

**"Uncollapsed Hrushovski constructions, part 2"**

Last week, we constructed the Hrushovski-Fraisse limit of a class of finite relational structures. This week, I will axiomatize these limits and prove they are omega-stable. I will also give a characterization of forking. If time allows, I will show some potential application.

MC 5417

Tuesday, March 21, 2023 — 2:30 PM EDT

**Christopher Lang, Department of Pure Mathematics, University of Waterloo**

**"Hyperbolic monopoles with continuous symmetries (part 2)"**

Few examples of hyperbolic monopoles exist. By modifying previous work of mine with collaborators, we will discuss a structure theorem for generating highly symmetric hyperbolic monopoles. We will briefly cover general geometric details discussed in my previous talk and focus more on the use of representation theory to generate monopoles and examine some examples generated by the method.

MC 5403

Tuesday, March 21, 2023 — 2:30 PM EDT

**David Meretzky, University of Notre Dame**

**"A boundedness condition for d**ifferential fields"

Tuesday, March 21, 2023 — 10:00 AM EDT

**Note: The time of this talk is different from the usual Number Theory Seminar time.**

**Trevor Wooley, Purdue University**

**"Waring's problem and Freiman's theorem"**

Monday, March 20, 2023 — 2:30 PM EDT

**Jason Lotay, Oxford University**

**"Minimal Lagrangians and where to find them"**

Thursday, March 16, 2023 — 4:00 PM EDT

**Roberto Hernandez Palomares, Department of Pure Mathematics, University of Waterloo**

**"K-theoretic classification of inductive limit actions of fusion categories on AF C*-algebras"**

Thursday, March 16, 2023 — 2:30 PM EDT

**Rachael Alvir, Department of Pure Mathematics, University of Waterloo**

**"Even More Effectively Closed Sets"**

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will continue proving an effective version of the perfect set theorem.

MC 5403

Thursday, March 16, 2023 — 2:30 PM EDT

**Lisa Marquand, Stony Brook University**

**"Symplectic Birational Involutions of manifolds of OG10 type"**

Thursday, March 16, 2023 — 10:00 AM EDT

**Eric Boulter, Department of Pure Mathematics, University of Waterloo**

**"Rational points on elliptic curves"**

MC 5403

Wednesday, March 15, 2023 — 2:00 PM EDT

**Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo**

**"Deformation theory of vector bundles and of Hitchin pairs"**

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.