# Events by month

## February 2016

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### Pure Math Colloquium

Monday, February 1, 2016 — 4:00 PM EST

John Duncan, Emory University

“Recent Developments in Moonshine”

### Ring Theory Seminar

Tuesday, February 2, 2016 — 10:30 to 10:30 AM EST

Hongdi Huang, Pure Mathematics, University of Waterloo

"Morita Theory IV: The Morita Context"

If $F:\mathrm{Mod}_R \rightarrow \mathrm{Mod}_S$ is a Morita equivalence, then it preserves progenerators, so $P_S:= F(R_R)$ is a progenerator in $\mathrm{Mod}_S$. We'll see that that $P_S$ has a left $R$-module structure and $F\simeq -\otimes _RP_S$, thus giving rise to a \textit{Morita context} between $R$ and $S$. Conversely, the existence of a Morita context implies that $R$ and $S$ are Morita equivalent.

### Geometric Analysis Working Seminar

Tuesday, February 2, 2016 — 1:00 PM EST

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

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

### Student Number Theory Seminar

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

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

### Berkovich Spaces Seminar

Tuesday, February 2, 2016 — 3:30 PM EST

Rahim Moosa, Pure Mathematics, University of Waterloo

"More on definable functors, and imaginaries"

### Geometry Working Seminar

Wednesday, February 3, 2016 — 11:00 to 11:00 AM EST

Raymond Cheng, Pure Mathematics, University of Waterloo

"Donuts and Pants, then Quasiconformal Maps"

### Algebraic Geometry Working Seminar

Wednesday, February 3, 2016 — 1:00 PM EST

Raymond Cheng, Pure Mathematics, University of Waterloo

"Hilbert Scheme of Points on Surfaces"

Finally, we are in place to discuss the Hilbert scheme of points in a surface. We will discuss some geometric properties of this Hilbert scheme. In particular, we will attempt to explain why the Hilbert scheme of points in the affine plane is smooth and irreducible scheme. We may also give a description of this Hilbert scheme in a way suggestive for future discussions.

### String Theory Seminar

Wednesday, February 3, 2016 — 2:00 PM EST

Henry Li, Department of Pure Mathematics, University of Waterloo

“BRST Quantization”

### Computability Learning Seminar

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

Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo

“Bases for Randomness”

### Number Theory Seminar

Thursday, February 4, 2016 — 1:30 PM EST

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

“Random Fibonacci Sequences”

### Universal Algebra Learning Seminar

Thursday, February 4, 2016 — 2:30 PM EST

Ian Payne, Pure Mathematics, University of Waterloo

"A result on constraint satisfaction problems: part 3"

In this talk, I will begin going through Bulatov's proof that a nonempty standard $(2,3)$-system with potatoes from a variety of $2$-semilattices has a solution. It should take two lectures to complete the proof.

### Logic Seminar

Thursday, February 4, 2016 — 3:30 PM EST

Alex Kruckman, University of California, Berkeley

“Properly Ergodic Structures”

### Geometry & Topology Seminar

Friday, February 5, 2016 — 2:30 PM EST

Andreas Malmendier, Utah State University

“The special function identities from Kummer surfaces or the identity Ernst Kummer missed.”

### Analysis Seminar

Friday, February 5, 2016 — 3:30 PM EST

Serban Belinschi, University of Toulouse, France

“A Julia-Caratheodory Theorem for noncommutative functions (and some applications)”

### Ring Theory Seminar

Tuesday, February 9, 2016 — 10:30 to 10:30 AM EST

Christopher Schafhauser, Department of Pure Mathematics, University of Waterloo

“Morita Theory V: Morita Contexts, cont’d”

### Geometric Analysis Working Seminar

Tuesday, February 9, 2016 — 1:00 PM EST

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

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

### Student Number Theory Seminar

Tuesday, February 9, 2016 — 2:30 PM EST

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Equidistribution to large moduli”

### Berkovich Spaces

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

### Geometry Working Seminar

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

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

“Analytic Foundations of the Teichmller Space”

### Algebraic Geometry Working Seminar

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

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

“Hilbert Scheme of Points: Non-singularity”

### Algebra Seminar

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”

### Fractal Geometry Seminar

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”

### von Neumann Algebra Learning Seminar

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.

### Computability Learning Seminar

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

### Universal Algebra Seminar

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.

### Student Colloquium

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

Michael Deveau, Department of Pure Math, University of Waterloo

"Calculus In Reverse"

### Analysis Oral Comprehensive Exam

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

Boyu Li, Department of Pure Mathematics, University of Waterloo

“Locally Compact Groupoids and Their Representations”

### Geometry & Topology Seminar

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

Mattia Tolpo, University of British Columbia

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

### Analysis Seminar

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”

### String Theory Seminar

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

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Quantizing the String”

### Student Colloquium

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

Matthew Wiersma, Department of Pure Mathematics, University of Waterloo

"Cohen¹s Factorization Theorem"

### Geometric Analysis Working Seminar

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”

### Student Number Theory Seminar

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

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Some applications of the large sieve”

### Berkovich Spaces

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

### Algebraic Geometry Working Seminar

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”

### von Neumann Algebra Learning Seminar

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

Zack Cramer, Department of Pure Mathematics, University of Waterloo

“The von Neumann Double Commutant Theorem”

### Computability Learning Seminar

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.

### Universal Algebra Seminar

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”

### Analysis Seminar

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.

### Joint Pure Math and C&O Colloquium

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

### Pure Math with C&O Colloquium

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

### Pure Math Colloquium

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.

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