Events by month

Matthew Satriano, Department of Pure Mathematics, University of Waterloo

Organizational meeting

We will give a brief overview of chiral de Rham cohomology and discuss the plan for the term.

MC 5403

Talk #1 (1:00pm-2:30pm)

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"Betti numbers of nearly G_2 and nearly Kähler manifolds with Weyl curvature bounds"

Sergii Myroshnychenko, Lakehead University

"How far apart can centroids be?"

Matthew Satriano, Department of Pure Mathematics, University of Waterloo

"Formal loop spaces"

We will discuss Section 2 of the Kapranov-Vasserot paper.

MC 5403

Thomas Bray, Department of Pure Mathematics, University of Waterloo

"Boundaries and C*-simplicity of (discrete) groups"

I will discuss the contents of the paper “Boundaries of reduced C*-algebras of discrete groups" by Kalantar and Kennedy. Since this is the first meeting, we may also discuss plans for the seminar at the beginning.

MC 5479

Talk #1 (1:00pm-2:30pm)

Michael Albanese, Department of Pure Mathematics, University of Waterloo

"Hyperbolic Manifolds and Complex Structures"

Organizational Meeting

Organizational Meeting for the Algebraic Geometry Working Seminar

This meeting will be to set up the Algebraic Geometry Working Seminar for summer '23. If you are unavailable please let us know what times for the seminar would work for you using this poll https://forms.gle/rmyALT5pJiKkjyet9.

Please reach Robert Harris or Yash Singh (the organizers) for any questions.

MC 5417

Jacob Campbell, Department of Pure Mathematics, University of Waterloo

"Finitary approximations of free probability, involving combinatorial representation theory"

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"Sheaves"

We will be starting next week with the first section on chapter 2 of Algebraic Geometry by Robin Hartshorne. There will be an overview talk on sheaves and then if time permits, tackle some problems on sheaves in Hartshorne. 

MC 5403

Nick Priebe, University of Waterloo

"Introduction to Hadamard Matrices"

A brief overview of Hadamard matrices will be given.

MC 5403

Talk #1

Jérémy Champagne, Department of Pure Mathematics, University of Waterloo

"Diophantine approximation by linear forms with angular restrictions"

Ben Webster, Department of Pure Mathematics, University of Waterloo

"Vertex algebras, arcs and loops"

I'll talk about vertex algebras, with an eye to how they arise in algebraic geometry through arc and loop spaces.

MC 5403

Thomas Bray, Department of Pure Mathematics, University of Waterloo

"Boundaries and C*-simplicity of (discrete) groups 2"

I will continue to discuss the contents of the paper “Boundaries of reduced C*-algebras of discrete groups" by Kalantar and Kennedy.

MC 5479

Jacques van Wyk, Department of Pure Mathematics, University of Waterloo

"The Hodge Decomposition Theorem"

Nick Priebe, University of Waterloo

"Introduction to Hadamard matrices and their quantum symmetries"

Continuing last Thursday's talk, we will introduce the Banica-Nicoara quantum symmetry groups of Hadamard matrices. These provide some interesting quantum groups, and in some sense capture some symmetries associated with the matrix.

MC 5403

Michael Brannan, Department of Pure Mathematics, University of Waterloo

"Some constructions with Hadamard matrices"

I'll discuss a few constructions involving Hadamard matrices, including: Hadamard graphs, unitary error bases, and mutually unbiased bases.

MC 5403

Lorenzo Fatibene, University of Torino

"Spin frames vs spin structures: A framework for Dirac fields in interaction with gravity"

Mehrdad Kalantar, University of Houston

"Complexification of operator spaces — Revisited"

Hanming Liu, Department of Pure Mathematics, University of Waterloo

"Living inside 3-manifolds"

Day to day life gives us a pretty good idea of what it is like living inside 3-dimensional Euclidean space. But what about other 3-manifolds? It turns out that thinking about this question leads to a way of visualizing 3-manifolds without having to visualize 4 or 5-dimensional Euclidean spaces, and to a classification of closed orientable 3-manifolds.

MC 5417

Talk #1: Logan Batson

"The density of integers n relatively prime to the integral part of nα"

We discuss the distribution of positive integers n that are relatively prime to the integral part of nα. We demonstrate that the density of such integers is 6/π2 by separating the cases when α is rational from when α is irrational and using some previous results of Vinogradov, Hardy and Wright.

Talk #2: Ismael El Yassini

Ben Webster, Department of Pure Mathematics, University of Waterloo

"Vertex algebras, arcs and loops, part 2"

I'll continue with vertex algebras, with an eye to how they arise in algebraic geometry through arc and loop spaces.  

MC 5403

Ravi Mudaliar, Department of Pure Mathematics, University of Waterloo

"A Categorical Equivalence between Compact Connected Riemann Surfaces and Function Fields in 1 variable"

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"Coloured fantastacks"

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Restricted Zilber Trichotomy"

We will be reading Ben Castle's paper.

MC 5479

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to Schemes"

The goal of this talk is to present an overview of Section II.2 of Hartshorne. In particular, I will introduce our main objects of study for this seminar: schemes. I will define what these objects are and study some examples of schemes. If time permits, the second half of the seminar will be devoted to solving some problems from this section of Hartshorne.

MC 5403

Rachael Alvir, Department of Pure Mathematics, University of Waterloo

"Reverse Math I"

In this talk, we will give a preliminary introduction to reverse mathematics. We will be working from a recent book by Damir Dzhafarov and Carl Mummert.

MC 5403

J.C. Saunders, Middle Tennessee State University

"Primes and composites in the determinant Hosoya triangle"

Talk #1: Sourabhashis Das, Department of Pure Mathematics, University of Waterloo

"On the number of irreducible factors with a given multiplicity in function fields"

Dongshu Dai, Department of Pure Mathematics, University of Waterloo

"The global loop space"

We will continue with section 3 of Kapranov and Vasserot's paper.

MC 5403

Padraig Daly, Department of Pure Mathematics, University of Waterloo

"Quantum superchannels on the space of quantum channels"

Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This is motivated by the study of quantum superchannels, which are maps whose input and output are quantum channels.

David Chodounsky, Institute of Mathematics of the Czech Academy of Sciences

"Countable chromatic number of definable graphs via games"

We define games which characterize countable coloring numbers of analytic graphs on Polish spaces. These games can provide simple verification of the countable chromatic number of certain graphs. (Eg. the rational distance graph on the Euclidean plane.) Joint work with Jindrich Zapletal.

MC 5403

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to GIT Quotients"

Ada Chan, York University

"Complex Hadamard matrices and association schemes, Part 1"

Complex Hadamard matrices and spin models are special cases of type-II matrices. In the 1980s, Vaughan Jones used spin models to construct link invariants and representations of braid groups. The term type II was coined after the second Reidemeister move of link diagrams. In 1990s, Jaeger and Nomura discovered the surprising connection of spin models and association schemes.

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Restricted Zilber Trichotomy"

We will be reading Ben Castle’s paper.

MC 4060