# Events by month

## January 2023

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### Computability Theory Learning Seminar

Thursday, January 12, 2023 — 2:30 PM EST

Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part I"

### Geometry & Topology Seminar

Thursday, January 12, 2023 — 2:30 PM EST

Siyuan Lu, McMaster University

"On the regularity of Lagrangian phase equation"

In this talk, I will first introduce the background and motivation for the study of Lagrangian phase equation. I will then discuss my recent work on the regularity of Lagrangian phase equation. In the second part, I will discuss some open problems relating to Lagrangian phase equation.

MC 5417

### Colloquium

Monday, January 16, 2023 — 2:30 PM EST

David Kribs, University of Guelph

"Quantum error correction and operator algebras"

Quantum error correction is a central topic in quantum information science. Its origins as an independent field of study go back more than a quarter century, and it now arises in almost every part of the subject, including in recent years as a key area of focus in the development of new quantum technologies.

### Student Number Theory Seminar

Tuesday, January 17, 2023 — 10:00 to 10:00 AM EST

Owen Sharpe, Department of Pure Mathematics, University of Waterloo

"Vinogradov's Mean Value Theorem and Bourgain's Discrete Restriction Conjecture"

### Number Theory Seminar

Tuesday, January 17, 2023 — 11:30 to 11:30 AM EST

**Note this seminar will not be held at the usual time**

Yu-Ru Liu, Department of Pure Mathematics, University of Waterloo

"On the multidimensional Hilbert-Kamke problem"

### Differential Geometry Working Seminar

Tuesday, January 17, 2023 — 2:30 PM EST

Xuemiao Chen, Department of Pure Mathematics, University of Waterloo

"Bogomolov inequality"

After introducing some necessary basics, we will present Miyaoka's elegant proof of the Bogomolov inequality for slope semistable bundles over projective smooth surfaces.

MC 5403

### Logic Seminar

Tuesday, January 17, 2023 — 2:30 PM EST

Adele Padgett, McMaster University

"Regular solutions of systems of E-polynomials"

### Learning Seminar on Elliptic Curves

Thursday, January 19, 2023 — 10:00 to 10:00 AM EST

Sourabhashis Das, Department of Pure Mathematics, University of Waterloo

"Chapter 2 – Algebraic curves"

In this first talk of the learning seminar, we will introduce algebraic curves and present basic facts about these curves which are essential in the study of elliptic curves. In particular, we will talk about the divisor group associated to such curves and discuss certain important results such as the Riemann-Roch theorem.

This seminar will be held both online and in person:

### Computability Theory Learning Seminar

Thursday, January 19, 2023 — 2:30 PM EST

Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets -- Part II"

### Analysis Seminar

Thursday, January 19, 2023 — 4:00 PM EST

Jeremy Hume, University of Glasgow

"The K-theory of a rational function"

### Riemann Surfaces Reading Seminar

Friday, January 20, 2023 — 1:30 PM EST

This semester there will be a reading seminar on Riemann Surfaces. We'll be using Simon Donaldson's book as a reference.

These seminars are pretty accessible as the only hard pre-requisite is some Complex Analysis. Donaldson's exposition is also especially good as he gives a lot of focus on intuition and examples.

The aim of the seminar is to go through the whole book. One chapter each week. Though, we will slow down if we need to.

### Colloquium

Monday, January 23, 2023 — 2:30 PM EST

Dmitry Ryabogin, Kent State University

"On bodies floating in equilibrium in every orientation"

We give a negative answer to Ulam's Problem 19 from the Scottish Book asking is a solid of uniform density which will float in water in every position a sphere? Assuming that the density of water is 1, we show that there exists a strictly convex body of revolution K\subset {\mathbb R^3} of uniform density \frac{1}{2}, which is not a Euclidean ball, yet floats in equilibrium in every orientation.

MC 5501

### Student Number Theory Seminar

Tuesday, January 24, 2023 — 10:00 to 10:00 AM EST

Owen Sharpe, Department of Pure Mathematics, University of Waterloo

"Diophantine Techniques in Bourgain's Discrete Restriction Conjecture"

We continue the last talk about Bourgain's discrete restriction conjecture, and explain the Diophantine techniques used in the recent progress on the conjecture by Hughes and Wooley.

This seminar will be held both online and in person:

### Differential Geometry Working Seminar

Tuesday, January 24, 2023 — 2:30 PM EST

Hanming Liu, Department of Pure Mathematics, University of Waterloo

"Heegaard Floer Homology"

This will be an introduction to Heegaard Floer homology. We will aim to present its definition and state some topological applications.

MC 5403

### Logic Seminar

Tuesday, January 24, 2023 — 2:30 PM EST

Gianluca Basso, Université Lyon 1

"Kaleidoscopic groups and the generic point property"

### Number Theory Seminar

Tuesday, January 24, 2023 — 3:30 PM EST

Debanjana Kundu, University of Toronto

"Heuristics for  anti-cyclotomic $\mathbb{Z}_p$-extensions"

For an imaginary quadratic field, there are two natural $\mathbb{Z}_p$-extensions, the cyclotomic and the anticyclotomic. We'll start with a brief description of Iwasawa theory for the cyclotomic extensions, and then describe some computations for anticyclotomic  $\mathbb{Z}_p$ extensions, especially the fields and their class numbers. This is joint work with LC Washington.

This seminar will be held both online and in person

### Horospherical MMP Seminar

Wednesday, January 25, 2023 — 11:00 to 11:00 AM EST

Changho Han, Department of Pure Mathematics, University of Waterloo

"Brief Introduction to General MMP"

Before we dive into the less ventured area of horospherical MMP, it would be nice to first understand how the general MMP works in order to prove MMP results in horospherical settings. In that regard, I will present some motivations behind the definition of MMP singularities, and give a general overview of the general MMP.

This seminar will be held jointly online and in person:

### Model Theory Working Seminar

Wednesday, January 25, 2023 — 1:00 PM EST

Leo Jimenez, Department of Pure Mathematics, University of Waterloo

"Not pfaffian"

James Freitag has shown that the j-function is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".

MC 5417

### Algebraic Geometry Working Seminar

Wednesday, January 25, 2023 — 2:00 PM EST

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"Integrable systems on smooth projective toric varieties"

Let X be a smooth projective toric variety of complex dimension n. We can endow X with a symplectic form coming from the Fubini-Study form on projective space. We will show that we have an action of a real n-torus on X which is Hamiltonian and gives rise to an integrable system on X.

This seminar will be held both online and in person:

### Learning Seminar on Elliptic Curves

Thursday, January 26, 2023 — 10:00 to 10:00 AM EST

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.

This week's presenter is Yash Singh, Department of Pure Mathematics, University of Waterloo.

MC 5403

### Computability Theory Learning Seminar

Thursday, January 26, 2023 — 2:30 PM EST

Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part III"

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 conclude chapter 2 by discussing some applications of $\Pi^0_1$ classes in computability theory.

MC 5403

### Analysis Seminar

Thursday, January 26, 2023 — 4:00 PM EST

Erik Seguin, Department of Pure Mathematics, University of Waterloo

"Amenability and stability for discrete groups"

### Colloquium

Monday, January 30, 2023 — 2:30 PM EST

Ian Hambleton, McMaster University

"Euler Characteristics and 4-manifolds"

The topology and total curvature of a Riemann surface is determined by a single integer, the Euler characteristic (Leonhard Euler, 1707-1783). In dimension four and higher, the Euler characteristic gives an interesting invariant for finitely presented groups. The talk will survey some recent joint work with Alejandro Adem on this theme.

MC 5501

### Student Number Theory Seminar

Tuesday, January 31, 2023 — 10:00 to 10:00 AM EST

Jeremy Champagne, Department of Pure Mathematics, University of Waterloo

"Geometry of numbers as a tool for Diophantine approximation"

Anybody who has taken a course on algebraic number theory, has probably seen Minkowski's convex body theorem as a mean to prove the finiteness of class groups. However, less people know about Minkowski's second convex body theorem, which gives much more insight into this problem of finding integer points with certain properties.

### Differential Geometry Working Seminar

Tuesday, January 31, 2023 — 2:30 PM EST

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Nearly Kahler 6-manifolds have SU(3)-structures"

### Logic Seminar

Tuesday, January 31, 2023 — 2:30 PM EST

Elliot Kaplan, McMaster University

"Hilbert polynomials for finitary matroids"

### Number Theory Seminar

Tuesday, January 31, 2023 — 3:30 PM EST

David McKinnon, Department of Pure Mathematics, University of Waterloo

"Gaussian integers and gcds"

### January 2023

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