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Friday, March 20, 2015 3:30 pm - 3:30 pm EDT (GMT -04:00)

Geometry and Topology Seminar

 Alberto García-Raboso, University of Toronto

"A twisted nonabelian Hodge correspondence"

The classical nonabelian Hodge correspondence establishes an equivalence between certain categories of flat bundles and Higgs bundles on smooth projective varieties. I will describe an extension of this result to twisted vector bundles. No prior knowledge of the above topics will be assumed: come one, come all! There will be pancakes too.

Tuesday, July 21, 2015 1:00 pm - 1:00 pm EDT (GMT -04:00)

PhD Thesis Defence

Alejandra Vicente Colmenares, Pure Mathematics, University of Waterloo

"Semistable rank 2 co-Higgs bundles over Hirzebruch surfaces"

Tuesday, September 22, 2015 2:30 pm - 2:30 pm EDT (GMT -04:00)

Logic Seminar

Juan Felipe Carmona, Universidad Antonio Nariño

"Flatness and CM-triviality in strongly minimal theories with a predicate"

Tuesday, September 29, 2015 11:30 am - 11:30 am EDT (GMT -04:00)

Ring Theory Learning Seminar

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

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, January 14, 2016 11:30 am - 11:30 am EST (GMT -05:00)

Ring theory learning seminar

Ehsaan Hossain, Pure Mathematics, University of Waterloo

"Morita theory 1: Modules"

Let $\mathrm{Mod}_R$ be the category of right $R$-modules. Two rings $R,S$ are \textit{Morita equivalent}, denoted $R\sim S$, if $\mathrm{Mod}_R$ and $\mathrm{Mod}_S$ are equivalent as categories. For example $\mathbf{C}$ is Morita equivalent to $M_2(\mathbf{C})$, because any $\mathbf{C}$-vector space can double up to become an $M_2(\mathbf{C})$-module. Many properties are Morita invariant; for instance simplicity, semisimplicity, and chain conditions.

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.