Events by month

Se-Jin Sam Kim, Pure Mathematics, University of Waterloo

"Crossed products and Morita equivalence"

The talk will consist of three parts. Firstly, we will establish some basic notions of crossed product $C^*$-algebras, with a focus on the irrational rotation algebras.

Dylan Butson, Pure Mathematics, University of Waterloo

"Factorization Algebras from Quantum Field Theory"

I will survey the construction of factorization algebras, a type of algebraic-topological data on a space, using methods from quantum field theory, following the work of Kevin Costello and Owen Gwilliam.

Mengxue Yang, Department of Pure Mathematics, University of Waterloo

“Curves”

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

“Computable Structure Theory”

Nickolas Rollick, Department of Pure Mathematics, University of Waterloo

“Introduction to sheaves”

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Representation of integers by binary forms”

Omar Leon-Sanchez, McMaster University

“Remarks on definable Galois correspondence”

Ken Davidson, Department of Pure Mathematics, University of Waterloo

“Choquet order and hyperrigidity for function systems”

Adam Dor On, Pure Mathematics, University of Waterloo

"Absolute continuity and wandering vectors in Free semigroup algebras"

Laura DeMarco, Northwestern University

"Complex dynamics and elliptic curves"

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

“Coding Sets and R.i. notions”

Samin Riasat, Department of Pure Mathematics, University of Waterloo

“The least prime factor of a binomial coefficient”

Jason Bell, Department of Pure Mathematics, University of Waterloo

“The Schafke-Singer theorem, I.”

We give an overview of a recent result of Schafke and Singer on power series that are well- behaved with respect to two ”orthogonal” operators. We discuss possible extensions of this to other complete local rings and approaches for obtaining these extensions.

Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo

“Sheaves and morphisms”

Patrick Meisner, Concordia University

“Distribution of the Number of Points on Curves over Fq”

Taras Kolomatski, Department of Pure Mathematics, University of Waterloo

Abstract

Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo

“Mass of Asymptotically flat manifolds.”

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Group rings: definition and examples”

Ákos Nagy, Department of Pure Mathematics, University of Waterloo

“The Berry connection of the Ginzburg–Landau vortices”

Hugo Woerdeman, Drexel University

“Rational Schur-Agler functions on polynomially-defined domains”

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

“R.i.c.e. relations”

This week we start chapter 2 and introduce some Relatively intrinsic notions. Basically we discuss R.i.c.e. (relatively intrinsic computably enumerable) relations and give some examples. Our goal is to prove a characterization theorem for R.i.c.e. relations.

MC 5417

Patrick Naylor, Department of Pure Mathematics, University of Waterloo

“Sheaves and more sheaves”

Anton Mosunov, Department of Pure Mathematics, University of Waterloo

“What do we know about aliquot sequences? (in honor of Richard Guy’s 100th birthday) ”

Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

“Model theory and formal languages”

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Leavitt path algebras: from graphs to rings"

Anthony McCormick, Department of Pure Mathematics, University of Waterloo

“Divisors and Blow-ups”

We will introduce divisors on complex manifolds as well as the notion of the degree of a divisor and the relationship between divisors and the Picard group. Afterwards, we will discuss B ́ezout’s theorem and blow-ups along complex submanifolds.

MC 5403

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

“Introduction of Hopf Algebras”

Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo

“Moduli spaces of generalized holomorphic bundles”

Xiao Xiong, Seoul National University

“Characterizations of operator-valued Hardy spaces.”

I will introduce the operator-valued Hardy spaces studied by Tao Mei, and show that the Poisson kernel in Mei’s definition of these spaces can be replaced by any reasonable test function. An important example of such test function is given by positive-order Riesz potential of the Poisson kernel.