Adam Dor On, Pure Mathematics, University of Waterloo
"Absolute continuity and wandering vectors in Free semigroup algebras"
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.
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.
Speaker: Luca Di Cerbo, International Centre for Theoretical Physics (ICTP)
Omar Leon Sanchez, McMaster University
"Statement of the Main Theorem"
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.
Rahim Moosa, Pure Mathematics, University of Waterloo
"More on definable functors, and imaginaries"
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
Patrick Naylor, Pure Mathematics, University of Waterloo
"Semisimplicity and the Hopkins--Levitski Theorem"
This semester we'll be meeting weekly to learn more about ring theory, mostly going through Lam's two books --- there are many interesting results in those books which will be "good to know". Starting off, we'll aim to learn the Hopkins--Levitski Theorem, one of whose (many) consequences is that the descending chain condition implies the ascending chain condition. Everyone is welcome. See you there!
MC 5403