Events

Jānis Lazovskis, University of Waterloo

“Please, sir, I want some Morse”

We will introduce 1-parameter groups of diffeomorphsims and associate them uniquely to compactly-supported vector fields. Using this idea, we will show, through an application of a Riemannian metric, that between consecutive critical points on a smooth manifold there exists only one diffeomorphism class. If we fail, we will face the horrors of chimney sweeping with Mr. Gamfield.

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Bipartite graphs satisfying Maltsev conditions”

Every finite connected bipartite graph G = (V,E) with vertex partition A, B can be associated with three related structures: (1) the digraph (V,E*) in which each edge of G is oriented from A to B; (2) a 2-sorted structure with universes A, B and binary relation E*; (3) a structure with universe E* and two equivalence relations.

Matt Mazowita, Department of Mathematical and Statistical Sciences, University of Alberta

“From Group to Beurling Algebras”

One of the most important Banach algebras in abstract harmonic analysis is the group algebra of a locally compact group, which consists of functions which are integrable (against Haar measure) with the convolution product.

Natasa Sesum, Rutger’s University

“Yamabe flow, its ancient solutions and singularity formation”

We will discuss conformally flat complete Yamabe flow and show that in some cases we can give the precise description of singularity profiles close to the extinction time of the solution. We will also talk about a construction of new compact ancient solutions to the Yamabe flow.

Michael Hartz, Department of Pure Mathematics and Michael Szestopalow, Combinatorics Optimization

“Brouwer and Sperner’s Excellent Adventure”

We will discuss Brouwer’s Fixed-Point Theorem and Sperner’s Lemma. Brouwer’s Fixed-Point Theorem is a fundamental result in analysis that has applications in all areas of mathematics. It asserts that every continuous map from a compact, convex subset of Rn into itself has a fixed point.

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov’s Theorem: Part V: linear groups”

We begin something new this week and I will give an overview of the theory of finitely generated subgroups of the group of invertible matrices over the complex numbers. In partic- ular, we will look at the so-called ”ping pong lemma”, which gives a strategy for showing that certain non-abelian subgroups of linear groups are in fact free groups.

Li Chen, Department of Pure Mathematics, University of Waterloo

“No Morse, this is it!”

We will prove ”Morse Theorem”, so-to-speak, in this talk modulo some technical details. So far we have seen the basic ideas and some examples from Morse theory.

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Bipartite graphs satisfying Maltsev conditions II”

This is a continuation from last week, in which I will prove the main theorem connecting idempotent strong Maltsev conditions satisfied by bipartite graphs, strongly bipartite digraphs, 2-sorted graphs, and structures with two equivalence relations.

Carrie Knoll, Department of Pure Mathematics University of Waterloo

“Computability”

In this talk we will answer the question: ”What is computability theory?”. After a brief look at the historical problem of how to formalize the notion of a ’computation’, we will explore some of the main concepts and tools of modern computability theory. This part of the talk will likely feature things like ”Turing machines” and ”halting problems”.

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov's theorem VI: linear groups and the ping-pong lemma”

We'll continue our look at linear groups and look at the so-called ping-pong lemma, which is a tool used to prove the existence of free subgroups and free subsemigroups.

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Grad student Geometry and Topology learning seminar

Jānis Lazovskis, University of Waterloo

“Please, sir, I want some Morse”

Universal Algebra seminar

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Bipartite graphs satisfying Maltsev conditions”

Analysis seminar

Matt Mazowita, Department of Mathematical and Statistical Sciences, University of Alberta

“From Group to Beurling Algebras”

Pure Math colloquium

Natasa Sesum, Rutger’s University

“Yamabe flow, its ancient solutions and singularity formation”

Joint graduate student seminar - Pure Mathematics/Combinatorics & Optimization

Michael Hartz, Department of Pure Mathematics and Michael Szestopalow, Combinatorics Optimization

“Brouwer and Sperner’s Excellent Adventure”

Algebra seminar

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov’s Theorem: Part V: linear groups”

Grad student Geometry and Topology learning seminar

Li Chen, Department of Pure Mathematics, University of Waterloo

“No Morse, this is it!”

Universal Algebra seminar

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Bipartite graphs satisfying Maltsev conditions II”

Student colloquium

Carrie Knoll, Department of Pure Mathematics University of Waterloo

“Computability”

Algebra seminar

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov's theorem VI: linear groups and the ping-pong lemma”

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