Events

Sascha Troscheit, Department of Pure Mathematics, University of Waterloo

"Branching Processes, Martingales, Kingman’s Subadditive Ergodic Theorem, and some applications, Part III: The probability of deviating from the mean behaviour"

John Friedlander, University of Toronto

"Exceptional characters and their consequences"

We review some history about the possible existence of certain Dirichlet characters which might possess a zero very close to the line $Re s = 1$ and the remarkably strong consequences which could be derived under the assumption of their existence.

MC 5501

Adam Dor On, Technion

"Cuntz-Nica-Pimsner algebras over $\mathbb{N}^d$"

An effective model for encoding multivariable dynamical systems via C*-algebras is given by Toeplitz-Nica-Pimsner algebras introduced by Fowler. In the work of Carlsen, Larsen, Sims and Vitadello, the right notion of a "boundary quotient" Cuntz-Nica-Pimsner algebra is established, but the precise relations between minimal generators are sometimes very difficult to ascertain. 

Justin Laverdure, Department of Pure Mathematics, University of Waterloo

"A finite pointed group with no finite basis, Part 1"

We'll go over a construction of Roger Bryant, by building a finite pointed group (P,p) with no finite basis for its laws, as far as we can go. We'll recap basic equational theory stuff, then wade knee-deep into semidirect products and counting arguments.

MC 5413

Esther Cabezas-Rivas, Universität Frankfurt

"Ricci flow beyond non-negative curvature conditions"

We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time.

Yiu-Tung Poon, Iowa State University

"(p,q) Matricial Range and Quantum Information Science"

Damien Roy, University of Ottawa

"Diophantine curiosities"

Michael Viscardi, University of California, Berkeley

"Quantum cohomology and 3D mirror symmetry"

Levon Haykazyan, Department of Pure Mathematics, University of Waterloo

"Introduction to Positive Logic II"

We continue our investigation of positive logic. I will define a new notion of the space of types and I will convince you that it is the right notion.

MC 5403

Sascha Troscheit, Department of Pure Mathematics, University of Waterloo

"Branching Processes, Martingales, Kingman’s Subadditive Ergodic Theorem, and some applications, Part IV: Kingman’s Subadditive Ergodic Theorem"

And now for something completely different. We leave Galton-Watson processes behind and talk a bit about Birkhoff’s Ergodic Theorem and Fekete’s Lemma. The latter states that a_n/n converges if a_n is a subadditive sequence and Kingman’s subadditive ergodic theorem provides a dynamical / random analogue.