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
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John Duncan, Emory University
“Recent Developments in Moonshine”
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.
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
“Weyl curvature, conformal geometry, and uniformization: Part II”
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Towards the BombieriVinogradov theorem”
Rahim Moosa, Pure Mathematics, University of Waterloo
"More on definable functors, and imaginaries"
Raymond Cheng, Pure Mathematics, University of Waterloo
"Donuts and Pants, then Quasiconformal Maps"
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.
Henry Li, Department of Pure Mathematics, University of Waterloo
“BRST Quantization”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Bases for Randomness”
John J.C. Saunders, Department of Pure Mathematics, University of Waterloo
“Random Fibonacci Sequences”
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.
Alex Kruckman, University of California, Berkeley
“Properly Ergodic Structures”
Andreas Malmendier, Utah State University
“The special function identities from Kummer surfaces or the identity Ernst Kummer missed.”
Serban Belinschi, University of Toulouse, France
“A JuliaCaratheodory Theorem for noncommutative functions (and some applications)”
Christopher Schafhauser, Department of Pure Mathematics, University of Waterloo
“Morita Theory V: Morita Contexts, cont’d”
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
“Weyl curvature, conformal geometry, and uniformization: Part III”
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Equidistribution to large moduli”
Jason Bell, Department of Pure Mathematics, University of Waterloo
“Types”
We start chapter 2 of Ducros’ Bourbaki paper.
MC 5403
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
“Analytic Foundations of the Teichmller Space”
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
“Hilbert Scheme of Points: Nonsingularity”
Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo
“The Superelliptic Covers and the Lifting Mapping Class Group”
Dr. Jozsef Vass, York University
“A Constructive Approach to the Convex Hull of IFS Fractals in the Plane, and its Generalization”
Adam Dor On, Department of Pure Mathematics, University of Waterloo
“Survey talk on vonNeumann algebras”
We survey some of the fundamental theory of vonNeumann algebras and their traces, while providing everyday examples. We will then talk a bit about abelian vonNeumann algebras, and their relationship to measure theory. Time permitting, we will talk about types decomposition for vonNeumann algebras.
Michael Deveau, Department of Pure Mathematics, University of Waterloo
“Bases for MLRandomness”
We briefly recall the definition of a base for MLrandomness 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 MLrandomness is low for K.
MC 5403
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 2semilattices has a solution, and talk about how the set of solutions has some nice properties.
Michael Deveau, Department of Pure Math, University of Waterloo
"Calculus In Reverse"
Boyu Li, Department of Pure Mathematics, University of Waterloo
“Locally Compact Groupoids and Their Representations”
Mattia Tolpo, University of British Columbia
“Parabolic sheaves, root stacks and the KatoNakayama space”
Adam Dor On, Department of Pure Mathematics, University of Waterloo
“Matrix convex sets: Inclusions, dilations and completely positive interpolation”
Henry Liu, Department of Pure Mathematics, University of Waterloo
“Quantizing the String”
Matthew Wiersma, Department of Pure Mathematics, University of Waterloo
"Cohen¹s Factorization Theorem"
Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo
“Analytic Techniques for the Yamabe Problem : Part 1”
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Some applications of the large sieve”
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
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
“Poincar Polynomials of the Hilbert Scheme of Points”
Zack Cramer, Department of Pure Mathematics, University of Waterloo
“The von Neumann Double Commutant Theorem”
Michael Deveau, Department of Pure Mathematics, University of Waterloo
“Bases for MLRandomness  Part 2”
We briefly discuss the construction presented last time, which proves that each base for MLrandomness 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.
Ian Payne, Department of Pure Mathematics, University of Waterloo
“A result on constraint satisfaction problems: part 5”
Michael Hartz, Department of Pure Mathematics, University of Waterloo
“Representations of multiplier algebras of NevanlinnaPick spaces”
NevanlinnaPick 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 selfadjoint operator algebras of functions.
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
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
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.
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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 Office of Indigenous Relations.