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
Friday, October 30, 2015 — 4:00 PM EDT
Henry Liu, Department of Pure Mathematics, University of Waterloo
“Path Integrals”
Friday, October 30, 2015 — 3:30 PM EDT
Matthew Kennedy, Department of Pure Math, University of Waterloo
“An intrinsic algebraic characterization of C*-simplicity for discrete groups”
Friday, October 30, 2015 — 2:30 PM EDT
Yi Zhu, Pure Mathematics Department, University of Waterloo
“Rational curves on open manifolds”
Thursday, October 29, 2015 — 4:00 PM EDT
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
“Hilbert’s 10th Problem”
In 1900, the German mathematician David Hilbert outlined 23 major mathematical problems to be studied in the coming century. His ”questions” ranged greatly in topic and precision. They were designed to serve as examples for the kinds of problems whose solutions would lead to the furthering of disciplines in mathematics.
Thursday, October 29, 2015 — 1:30 PM EDT
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“k-free values of binary forms”
Wednesday, October 28, 2015 — 3:00 PM EDT
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Martin-Lof Randomness and Solovay Tests”
We have seen that the Martin-Lof random real numbers are a reasonably natural notion: they are definable both in terms of Martin-Lof tests and in terms of complexity.
Tuesday, October 27, 2015 — 2:30 PM EDT
Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Basic definitions and examples”
Tuesday, October 27, 2015 — 11:30 AM EDT
Chris Schafhauser, Department of Pure Mathematics, University of Waterloo
“Noncommutative localisation”
Tuesday, October 27, 2015 — 10:30 AM EDT
Ehsaan Hossain, University of Waterloo
“Invariant basis number and finiteness”
Tuesday, October 27, 2015 — 9:00 AM EDT
Sam Kim, Carleton University
“Ultraproduct techniques for tracial von Neumann algebras”
Monday, October 26, 2015 — 4:00 PM EDT
Florent Benaych-Georges, University Paris 5
“The Single Ring Theorem”
Monday, October 26, 2015 — 10:30 AM EDT
Ross Willard, Department of Pure Mathematics, University of Waterloo
“Fundamentals of finite modular lattices, I.”
Monday, October 26, 2015 — 9:00 AM EDT
Andrej Vukovic, Carleton University
“Enumerative Combinatorics and the Geometry of Number”
Friday, October 23, 2015 — 4:00 PM EDT
Anton Borissov, Department of Pure Mathematics, University of Waterloo
“Dirac Field”
This week we will discuss fermions. Starting from representations of the Lorentz group and traversing carefully through Clifford algebras and spinors, we will finally arrive at the quantization of the Dirac field.
MC 5403
Friday, October 23, 2015 — 3:30 PM EDT
Ignacio Garcia, Department of Pure Math, University of Waterloo
“Packing measure and a theorem of Besicovitch”
Packing measures, as well as Hausdorff measures, are used to provide fine information on the size of fractal sets. For many random sets, especially related to Brownian motion, packing measures (rather than Hausdorff measures) provide the right concept to measure the size of the set.
Thursday, October 22, 2015 — 1:30 PM EDT
Tristan Freiberg, Department of Pure Mathematics, University of Waterloo
“The distribution of primes in short intervals.”
Wednesday, October 21, 2015 — 3:30 PM EDT
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Randomness Continued”
Last time we introduced Martin-Lof randomness, and saw that most reals have this prop- erty.
This week, we will give an example of one specific Martin-Lof random real, discuss some of the properties which such reals satisfy, and give another characterization of them.
Wednesday, October 21, 2015 — 2:30 PM EDT
Matt Kennedy, Department of Pure Mathematics, University of Waterloo
“Invariant random subgroups and uniformly recurrent subgroups”
Wednesday, October 21, 2015 — 2:30 PM EDT
Ignacio Garcia, Pure Math Department, University of Waterloo
“On generalized dimension of self similar sets with overlaps.”
Tuesday, October 20, 2015 — 2:30 PM EDT
Anton Mosunov, Department of Pure Mathematics, University of Waterloo
“Modular Curves and Moduli Spaces”
Tuesday, October 20, 2015 — 11:30 AM EDT
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
“Semiprime rings, cont’d”
Continuing our discussion of prime and semiprimeness: a ring R is semiprime if it has no nilpotent ideals. We’ll relate this to prime rings, and show that if R is semiprime artinian then it satisfies the Artin–Wedderburn theorem.
MC 5403
Monday, October 19, 2015 — 4:00 PM EDT
David Marker, University of Illinois at Chicago
“Model Theory and Exponentiation”
Friday, October 16, 2015 — 4:30 PM EDT
Anton Borissov, Department of Pure Mathematics, University of Waterloo
“The Klein-Gordon Field”
Friday, October 16, 2015 — 3:30 PM EDT
Jason Crann, Department of Pure Math, University of Waterloo
“Homological manifestations of quantum group amenability”
Wednesday, October 14, 2015 — 3:30 PM EDT
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“Martin-Lf Randomness”
We will continue last week’s discussion of prefix-free Kolmogorov complexity, but will begin to focus more on infinite sequences. We will discuss what we might mean when we say that an infinite sequence looks random from an algorithmic perspective.