# Events - February 2023

Tuesday, February 28, 2023 — 2:30 PM EST

## Differential Geometry Working Seminar

Paul Cusson, Department of Pure Mathematics, University of Waterloo

"Holomorphic maps between Riemann surfaces"

Tuesday, February 28, 2023 — 2:30 PM EST

## Logic Seminar

"Simplicity of the automorphism group of fields with operators"

Tuesday, February 28, 2023 — 1:30 PM EST

## Geometry & Topology Seminar

Javier González Anaya, University of California at Riverside

"Blow-ups of weighted projective planes at a point: Exploring the parameter space of triangles and the MDS property"

Monday, February 27, 2023 — 2:30 PM EST

## Colloquium

Matilde Lalin, University of Montreal

"Sums of the divisor function and random matrix distributions"

The divisor function gives the number of positive divisors of a natural number. How can we go about understanding the behavior of this function when going over the natural numbers? In this talk we will discuss strategies to better understand this function, issues related to the distribution of these values, and connections to the Riemann zeta function and some groups of random matrices.

MC 5501

Thursday, February 16, 2023 — 4:00 PM EST

## Analysis Seminar

Jason Crann, Carleton University

"Values of quantum non-local games"

Thursday, February 16, 2023 — 2:30 PM EST

## Geometry & Topology Seminar

Thomas Brazelton, University of Pennsylvania

"Equivariant enumerative geometry"

Thursday, February 16, 2023 — 10:00 AM EST

## Learning Seminar on Elliptic Curves

Jeremy Champagne, Department of Pure Mathematics, University of Waterloo

The intent of this seminar is to cover some of the basic theory of elliptic curves. Our first objective is to cover chapters 2, 3 and 6 from Joseph Silverman’s book (The Arithmetic of Elliptic Curves). Later in the semester, we will switch our focus towards more specific topics in the theory of elliptic curves.

MC 5403

Wednesday, February 15, 2023 — 2:00 PM EST

## Algebraic Geometry Working Seminar

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"A basic Introduction to Higgs Bundles and Vafa-Witten Bundles"

Wednesday, February 15, 2023 — 1:00 PM EST

## Model Theory Working Seminar

Christine Eagles, Department of Pure Mathematics, University of Waterloo

"A Note on Geometric Theories of Fields, Part II"

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417

Wednesday, February 15, 2023 — 11:00 AM EST

## Horospherical MMP Seminar

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"The effective cone for projective horospherical varieties"

I will start working through Brion’s paper “Variétés sphériques et théorie de Mori” on spherical MMP. Specifically, I plan to cover the first half of section 3, with emphasis on horospherical varieties. We should at least see what the cone NE(X) looks like for any projective horospherical variety X.

This seminar will be held jointly online and in person:

Tuesday, February 14, 2023 — 2:30 PM EST

## Differential Geometry Working Seminar

**THIS SEMINAR HAS BEEN POSTPONED TO FEBRUARY 28, 2023**

Paul Cusson, Department of Pure Mathematics, University of Waterloo

"Holomorphic maps between Riemann surfaces"

Tuesday, February 14, 2023 — 2:30 PM EST

## Logic Seminar

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Scott Complexity"

Tuesday, February 14, 2023 — 11:30 AM EST

## Number Theory Seminar

J.C. Saunders, Middle Tennessee State University

"The Euler Totient Function on Lucas Sequences"

Tuesday, February 14, 2023 — 10:00 AM EST

## Student Number Theory Seminar

Yash Totani, Department of Pure Mathematics, University of Waterloo

"Binary quadratic forms of class number 3"

Upon providing a historical overview of the theory of binary quadratic forms, we talk about the problem of representing positive integers by some specific binary quadratic forms. We will see how the theory of modular forms comes to our rescue.

MC 5403

Monday, February 13, 2023 — 2:30 PM EST

## Colloquium

Patrick Ingram, York University

"Variation of canonical heights in arithmetic dynamics"

Thursday, February 9, 2023 — 4:00 PM EST

## Analysis Seminar

Camila Sehnem, Department of Pure Mathematics, University of Waterloo

"C*-envelopes and semigroup C*-algebras"

Thursday, February 9, 2023 — 2:30 PM EST

## Computability Theory Learning Seminar

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part V"

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 basis theorems and take a brief detour into Martin-Lof randomness.

MC 5403

Thursday, February 9, 2023 — 2:30 PM EST

## Geometry & Topology Seminar

Rasul Shafikov, Western University

"Lagrangian embeddings, rational convexity, and approximation"

A celebrated theorem of Duval and Sibony characterizes rationally convex real submanifolds in complex Euclidean spaces as those isotropic with respect to a Kahler form. I will discuss how the results in symplectic geometry can be used to obtain some new results in the approximation theory.

MC 5417

Wednesday, February 8, 2023 — 3:00 PM EST

## Differential Geometry Working Seminar

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"The geometry of G2 manifolds: a marriage of non-associative algebra and non-linear analysis"

Wednesday, February 8, 2023 — 2:00 PM EST

## Algebraic Geometry Working Seminar

Keke Zhang, Department of Pure Mathematics, University of Waterloo

"An Introduction to Geometric Langlands"

We will begin with a discussion of the origin of the Langlands program in number theory, which is class field theory. Then we will give an introduction to the geometric Langlands conjecture. We will show Deligne's proof of the simplest case, which is the statement for GL(1).

This seminar will be held both online and in person:

Wednesday, February 8, 2023 — 1:00 PM EST

## Model Theory Working Seminar

Christine Eagles, Department of Pure Mathematics, University of Waterloo

"A Note on Geometric Theories of Fields"

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417

Wednesday, February 8, 2023 — 11:00 AM EST

## Horospherical MMP Seminar

Matthew Satriano, Department of Pure Mathematics, University of Waterloo

"Toric MMP"

I will discuss the minimal model program for toric varieties.

This seminar will be held jointly online and in person:

Tuesday, February 7, 2023 — 2:30 PM EST

## Differential Geometry Working Seminar

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"The third Betti number of nearly Kahler 6-manifolds"

Tuesday, February 7, 2023 — 2:30 PM EST

## Logic Seminar

Ronnie Nagloo, University of Illinois at Chicago

"Geometric triviality in differentially closed fields"

Tuesday, February 7, 2023 — 11:30 AM EST

## Number Theory Seminar

Michael Rubinstein, Department of Pure Mathematics, University of Waterloo

"Differential equations related to averages of the k-th divisor function"

Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.

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