Events by month

Michael Brannan, Texas A M University

“Matricial microstates for quantum group von Neumann algebras”

Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo

“Stronger Notions of Randomness”

Last semester we studied Martin-Lof randomness, and the weaker notion of Schnorr ran- domness. We will now introduce 2-randomness and weak 2-randomness, which are stronger notions than Martin-Lof randomness.

Geometric Analysis Working Seminar

Organizational Meeting

Robert Martin, University of Cape Town

“Multipliers between deBranges-Rovnyak subspaces of Drury-Arveson space”

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Stringy Actions and Gauge Fixing”

Christopher Hawthorne, Pure Mathematics, University of Waterloo

We will work through chapter 7 of Tent and Ziegler. We will develop the notions of forking and dividing as measures of how strongly a set depends on a set of parameters. We will then introduce simple theories, an important generalization of stable theories.

Deirdre Haskell, McMaster University

Abstract

This term we will be reading through Ducros Bourbaki article, “Les espaces Berkovich sont moderes [dapres Ehud Hrushovski et Francois Loeser]. We start with the overview given in the introduction.

MC 5403

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

"Topologies in Algebraic Geometry"

Kevin Hare, University of Waterloo

“Self Affine Maps”

Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo

“2-randomness and complexity”

We will begin our proof that Z is 2-random if and only infinitely many of its initial segments are incompressible in the sense of plain complexity.

Ehsaan Hossain, Pure Mathematics, University of Waterloo

"Morita theory 1: Modules"

Let $\mathrm{Mod}_R$ be the category of right $R$-modules. Two rings $R,S$ are \textit{Morita equivalent}, denoted $R\sim S$, if $\mathrm{Mod}_R$ and $\mathrm{Mod}_S$ are equivalent as categories. For example $\mathbf{C}$ is Morita equivalent to $M_2(\mathbf{C})$, because any $\mathbf{C}$-vector space can double up to become an $M_2(\mathbf{C})$-module. Many properties are Morita invariant; for instance simplicity, semisimplicity, and chain conditions.

Christopher Hawthorne, Pure Mathematics, University of Waterloo

We will work through chapter 7 of Tent and Ziegler. We will develop the notions of forking and dividing as measures of how strongly a set depends on a set of parameters. We will then introduce simple theories, an important generalization of stable theories.

Kevin Hare, Pure Math Department, University of Waterloo

“Beta representations and Pisot numbers”

Ian Payne, Department of Pure Mathematics, University of Waterloo

"A result on constraint satisfaction problems"

Christopher Hawthorne, Pure Mathematics, University of Waterloo

We will work through chapter 7 of Tent and Ziegler. We will develop the notions of forking and dividing as measures of how strongly a set depends on a set of parameters. We will then introduce simple theories, an important generalization of stable theories.

Jimmy He, Pure Math Department, University of Waterloo 

“Smoothness of convolution products of orbital measures on rank one compact symmetric spaces”

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Quantizing the String”

Ifaz Kabir, Department of Pure Mathematics, University of Waterloo

“Finite model theory seminar”

We will begin going through Flum and Ebbinghaus’ Finite Model Theory.

MC 5403

Wlodek Bryc, University of Cincinnati

“Normal distribution: Some characterization problems in Statistics”

Christopher Schafhauser, Department of Pure Mathematics, University of Waterloo

“Goldie’s Theorem on semiprime rings”

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

“Weyl curvature, conformal geometry, and uniformization: Part I”

Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

“Model theory learning seminar”

We will prove some basic properties of dividing and forking.

MC 5023A

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“The basic large sieve inequality”

Deirdre Haskell, McMaster University

will speak about

“Overview II ”

Abstract

We continue with the introduction to Ducros’ Bourbaki paper on Berkovich spaces (after Hrushovski and Loeser).

MC 5403

Henry Lui, Department of Pure Mathematics, University of Waterloo

“Teichmu ̈ller Spaces”

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

“Points in the Plane”

Nothing too fancy today: let us simply study schemes supported on finite subsets of the complex plane. Along the way, we will talk about Hilbert functions, Hilbert polynomials, families of schemes and maybe even something about moduli.

MC 5403

Adam Chapman, Michigan State University

“Linkage of p-algebras of prime degree”

Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo

“Lowness Properties”

AbstractGiven a class C of real numbers which can be relativized to a class C(X) depending on a real parameter X, we say that X is low for C if C(X)=C.

Arunabha Biswas, Queen’s University

“Some aspects of higher Mahler Measure”

Matthew Moore, Vanderbilt University

“Absorption and directed Jonsson terms”

Vern Paulsen, Pure Math Department, University of Waterloo

“Quotients of Operator Systems, Nuclearity, and Lifting Problems”

Anton Borissov, Department of Pure Mathematics, University of Waterloo

“Conformal Field Theory: A Worker’s Perspective”

Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo

“Morita Theory III: The Progeny Returns”

I will continue our discussion about generators and progenerators, resisting the urge to make extremely intelligent and witty jokes about going pro or supporting electricity production.

MC 5403

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“More on the Beurling-Selberg function”

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

“Algebraically closed valued fields”

I will give an introduction and overview of the model theoretic approach to valued fields.

MC 5403

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

“Hilbert Objects, First Examples”

I will reveal the secrets of the Hilbert function, speak of the Hilbert polynomial and then talk more about the Hilbert scheme. As an example of a Hilbert scheme, we talk about the Grassmannian.

MC 5403

Ed Vrscay, Department of Applied Math, University of Waterloo

“Generalized fractal transforms, contraction maps and associated inverse problems”

Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo

“Lowness Notions”

We will continue our study of the relationships between different lowness notions. Each such notion captures the idea of a real number having minimal computational power according to some criterion.

Matilde Lalin, University of Montreal

“The distribution of points on cyclic l-covers of genus g”

Ian Payne, Department of Pure Mathematics,  University of Waterloo

“A result on constraint satisfaction problems: part 2”

John J.C. Saunders, Department of Pure Mathematics, University of Waterloo

"Sieve Methods in Random Graph Theory"

Emily Redelmeier

will speak about

“Combinatorics and Asymptotics of Matrix Cumulants, and Connections to Second-Order Freeness ”