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Wednesday, September 30, 2015 3:30 pm - 3:30 pm EDT (GMT -04:00)

Computability Learning Seminar

Mohammad Mahmoud, Pure Mathematics, University of Waterloo

"Algorithmic Randomness: Introduction to Kolmogorov Complexity"

Last time we saw why the Kolmogorov complexity $K$ can be better than the plain complexity $C$ as it is subadditive and complexity doesn't dip. This time we are going to see more properties showing that $K$ matches our intuition. More precisely, (a) Incompressible (in the sense of $K$) strings have only short runs of zeros (i.e. blocks only consisting of zeros), and (b) Zeros and ones occur balancedly.

MC 5403

Thursday, February 4, 2016 2:30 pm - 2:30 pm EST (GMT -05:00)

Universal Algebra Learning Seminar

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.

Wednesday, September 7, 2016 3:00 pm - 3:00 pm EDT (GMT -04:00)

Master's Thesis Seminar

Se-Jin Sam Kim, Pure Mathematics, University of Waterloo

"Crossed products and Morita equivalence"

The talk will consist of three parts. Firstly, we will establish some basic notions of crossed product $C^*$-algebras, with a focus on the irrational rotation algebras.

Wednesday, September 7, 2016 3:00 pm - 3:00 pm EDT (GMT -04:00)

Master's Thesis Seminar

Dylan Butson, Pure Mathematics, University of Waterloo

"Factorization Algebras from Quantum Field Theory"

I will survey the construction of factorization algebras, a type of algebraic-topological data on a space, using methods from quantum field theory, following the work of Kevin Costello and Owen Gwilliam.

Thursday, October 6, 2016 1:30 pm - 1:30 pm EDT (GMT -04:00)

Topos Theory Learning Seminar

Christopher Hawthorne, Pure Mathematics, University of Waterloo

We begin chapter 4 of Goldblatt. (Category theory background from chapter 3 will be assumed.) We introduce subobjects and subobject classifiers; time permitting, we will get to the definition of a topos.