Events

John Sawatzky, Department of Pure Mathematics, University of Waterloo

"Ultraproducts and some loose ends"

We'll complete the metric ultraproduct construction, and show that a sofic group embeds in an ultraproduct of symmetric groups equipped with the Hamming distance. If possible we'll tie up some of the loose ends from last time, e.g. the dependence on that constant r, and residually finite groups.

MC 5403
 

Boris Khesin, University of Toronto

"Integrability and non-integrability in pentagram maps"

Chris Schafhauser, Department of Pure Mathematics, University of Waterloo

"More on GL_q(2) and SL_q(2)"

Last week Hongdi constructed the Hopf algebra structure on GL_q(2) and SL_q(2).  I will discuss the natural coaction of these objects on the quantum plane k_q(2).

MC 5403

Jeffrey Shallit, David R. Cheriton School of Computer Science, University of Waterloo

"Waring's theorem for binary k'th powers and palindromes"

Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo

"Finite and integral morphisms"

We will continue studying properties of finite and integral morphisms. We will use properties of algebra homomorphisms to prove that finite morphisms have finite fibers and that they are affine local on the target. We will also prove that integral morphisms are closed and we will study some examples. Time permitting we will introduce morphisms (locally) of finite type.

MC 5417

Arthur Mehta, Department of Pure Mathematics, University of Waterloo

"An Introduction to Quantum Graphs, Chromatic Numbers and Lovász Inequalties"

Christopher Schafhauser, Department of Pure Mathematics, University of Waterloo

"An Embedding Theorem for C*-algebras"

Nasir Sohail, Wilfrid Laurier University

"Ultraproducts and congruence distributive varieties - Part 2"

I shall prove that the class of subdirectly irreducible algebras in a congruence distributive variety V generated by a class K is contained in the class obtained by taking the closures under S (subalgebras) and H (homomorphisms) of the class of all ultraproducts over K.

MC 5479

Sam Kim, Department of Pure Mathematics, University of Waterloo

"On Synchronous Quantum Games"

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

"Ultraproducts again"

We'll finish the proof for ordinary products and start the ultraproduct construction.

MC 5403