## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Monday, February 29, 2016 — 4:00 PM EST

**Amos Nevo, Technion University **

“The mean ergodic theorem, then and now”

The mean ergodic theorem, originally proved by von Neumann, was motivated by Boltzmann’s ”ergodic hypothesis”, and constitutes a cornerstone of classical ergodic theory.

Friday, February 26, 2016 — 3:30 PM EST

**John Baez, University of California - Riverside**

"My favorite number"

The number 24 plays a central role in mathematics thanks to a series of

"coincidences" that is just beginning to be understood. One of the first

hints of this fact was Euler's bizarre "proof" that

1 + 2 + 3 + 4 + ... = -1/12

Friday, February 26, 2016 — 3:30 PM EST

**John Baez, University of California at Riverside **

“My favorite number”

The number 24 plays a central role in mathematics thanks to a series of ”coincidences” that is just beginning to be understood. One of the first hints of this fact was Euler’s bizarre ”proof” that

1+2+3+4+... =-1/12

Friday, February 26, 2016 — 2:30 PM EST

**Michael Hartz, Department of Pure Mathematics, University of Waterloo **

“Representations of multiplier algebras of Nevanlinna-Pick spaces”

Nevanlinna-Pick spaces are Hilbert function spaces which mirror some of the fine structure of the classical Hardy space on the unit disc. Their multiplier algebras are an important class of non self-adjoint operator algebras of functions.

Thursday, February 25, 2016 — 2:30 PM EST

**Ian Payne, Department of Pure Mathematics, University of Waterloo **

“A result on constraint satisfaction problems: part 5”

Wednesday, February 24, 2016 — 3:30 PM EST

**Michael Deveau, Department of Pure Mathematics, University of Waterloo **

“Bases for ML-Randomness - Part 2”

We briefly discuss the construction presented last time, which proves that each base for ML-randomness is low for K, and then verify that the construction works as claimed. We then use this result to prove an important corollary. Time permitting, we begin a discussion about lowness pairs.

Wednesday, February 24, 2016 — 2:30 PM EST

**Zack Cramer, Department of Pure Mathematics, University of Waterloo**

“The von Neumann Double Commutant Theorem”

Wednesday, February 24, 2016 — 1:00 PM EST

**Raymond Cheng, Department of Pure Mathematics, University of Waterloo **

“Poincar Polynomials of the Hilbert Scheme of Points”

Tuesday, February 23, 2016 — 3:30 PM EST

**Jason Bell, Department of Pure Mathematics, University of Waterloo **

“Types II”

We give part II of the lecture on Types from Ducros’ Bourbaki paper

MC 5403

Tuesday, February 23, 2016 — 2:30 PM EST

**Stanley Xiao, Department of Pure Mathematics, University of Waterloo**

“Some applications of the large sieve”

Tuesday, February 23, 2016 — 1:30 PM EST

**Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo **

“Analytic Techniques for the Yamabe Problem : Part 1”

Monday, February 22, 2016 — 4:00 PM EST

** Matthew Wiersma, Department of Pure Mathematics, University of Waterloo**

"Cohen¹s Factorization Theorem"

Friday, February 12, 2016 — 4:30 PM EST

**Henry Liu, Department of Pure Mathematics, University of Waterloo **

“Quantizing the String”

Friday, February 12, 2016 — 3:30 PM EST

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

“Matrix convex sets: Inclusions, dilations and completely positive interpolation”

Friday, February 12, 2016 — 2:30 PM EST

**Mattia Tolpo, University of British Columbia**

“Parabolic sheaves, root stacks and the Kato-Nakayama space”

Friday, February 12, 2016 — 1:30 PM EST

**Boyu Li, Department of Pure Mathematics, University of Waterloo **

“Locally Compact Groupoids and Their Representations”

Thursday, February 11, 2016 — 4:30 PM EST

**Michael Deveau, Department of Pure Math, University of Waterloo**

"Calculus In Reverse"

Thursday, February 11, 2016 — 2:30 PM EST

**Ian Payne, Department of Pure Mathematics, University of Waterloo **

“A result on constraint satisfaction problems: part 4”

I will finish presenting Bulatov’s proof that a standard (2,3)-system over the variety of 2-semilattices has a solution, and talk about how the set of solutions has some nice properties.

Wednesday, February 10, 2016 — 3:30 PM EST

**Michael Deveau, Department of Pure Mathematics, University of Waterloo **

“Bases for ML-Randomness”

We briefly recall the definition of a base for ML-randomness presented last time. The remaining portion of the talk will be spent stating and proving an important result about such sets, namely that every base for ML-randomness is low for K.

MC 5403

Wednesday, February 10, 2016 — 2:30 PM EST

**Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo **

“The Superelliptic Covers and the Lifting Mapping Class Group”

Wednesday, February 10, 2016 — 2:30 PM EST

**Dr. Jozsef Vass, York University**

“A Constructive Approach to the Convex Hull of IFS Fractals in the Plane, and its Generalization”

Wednesday, February 10, 2016 — 2:30 PM EST

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

“Survey talk on von-Neumann algebras”

We survey some of the fundamental theory of von-Neumann algebras and their traces, while providing everyday examples. We will then talk a bit about abelian von-Neumann algebras, and their relationship to measure theory. Time permitting, we will talk about types decomposition for von-Neumann algebras.

Wednesday, February 10, 2016 — 1:00 PM EST

**Raymond Cheng, Department of Pure Mathematics, University of Waterloo **

“Hilbert Scheme of Points: Non-singularity”

Wednesday, February 10, 2016 — 11:00 AM EST

**Raymond Cheng, Department of Pure Mathematics, University of Waterloo **

“Analytic Foundations of the Teichmller Space”

Tuesday, February 9, 2016 — 3:30 PM EST

**Jason Bell, Department of Pure Mathematics, University of Waterloo **

“Types”

We start chapter 2 of Ducros’ Bourbaki paper.

MC 5403

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.