Events

Jesse Gell-Redman, University of Toronto

“Index formulas on singular spaces”

Riemannian stratified spaces arise in many contexts, notably as the compactifications of moduli spaces, and on the K ̈ahler-Einstein manifolds studied recently by Donaldson, Tian, and many other. We discuss various extensions of index formulas (such as the Chern-Gauss-Bonnet formula) to these spaces, work which was initiated by Cheeger on manifolds with conical singularities in the 70s. The main object of study are naturally arising elliptic operators (e.g.

Adam Dor-On, Department of Pure Mathematics, University of Waterloo

"Tensor algebras and Subproduct systems arising from Stochastic matrices”

”In this talk we discuss subproduct systems in the sense of Shalit and Solel and their associated tensor algebras.

Brett Wick, Georgia Tech

“Carleson Measures for Spaces of Analytic Functions”

Carleson measures are a fundamental object in the study of function spaces in one and several variables.

Ian Payne, Department of Pure Mathematics, University of Waterloo

“Pointed Decomposition without Absorption”

Last week we saw the definition of a pointed decomposition of an instance, and saw that a proper one exists when absorption is present.

Jason Bell, Pure Mathematics, University of Waterloo

"Automorphisms of projective varieties and potential density, II"

In the second talk, we'll discuss Skolem's method and the analytic arc theorem as a means of studying the action of the automorphism group on a variety. If time remains, we'll apply this method to show that if X is a surface defined over a number field and X has an automorphism that does not preserve a non-constant fibration then there is a number field K such that the K-points of X are Zariski dense.

Patrick Walls, McMaster University

"The Theta Correspondence and Periods of Automorphic Forms"

The study of periods of automorphic forms using the theta correspondence

Stanley Xiao, Pure Mathematics, University of Waterloo

"GENERATINGFUNCTIONOLOGY"

This talk is a homage to the late Professor Herbert Wilf's book of the same title. We will discuss several elementary counting problems and solve them using generating functional techniques. I will also include several identities that have appeared in my own work as well as in some prominent papers in number theory.

Zhuang Niu, Memorial University

"A classification of approximately subhomogeneous C*-algebras"

I’m going to talk about a classification theorem on approximately subhomogeneous (ASH) C*-algebras, which is obtained recently in a joint work with Guihua Gong and Huaxin Lin. The C*-algebras covered by this classification theorem are those with their tensor products with an UHF-algebra are tracially approximated by the so-called Elliott-Thomsen building blocks.

Tuyen Truong, Syracuse University

"Interesting automorphisms of smooth varieties"

Abstract: Automorphism group is an important invariant of a smooth projective variety or more generally a compact Kahler manifold X. I will show that if the dimension of X is at least 3 and the nef cone of X satisfies several specific conditions (C) then X has no “interesting” automorphism. A simple heuristic argument shows that these conditions (C) are expected to hold on a “generic” compact Kahler manifold.

Daniel Fiorilli, University of Michigan

"Nuclear physics and number theory"

While the two fields named in the title seem unrelated, there is a strong link between them. Indeed, random matrix theory makes predictions in both fields, and some of these predictions can be verified rigorously on the number theory side. This amazing connection came to life during a meeting between Freeman Dyson and Hugh Montgomery at the Institute for Advanced Study.

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Geometry & Topology seminar