Events

Collin Roberts, Mathematics Department, University of Waterloo

“⊗ and Hom Functors”

In this talk we will prove many useful properties of the ⊗ and Hom functors, including:

Jason Bell, Department of Pure Mathematics, University of Waterloo,

“Hopf algebra actions on rings, I.”

This will be the first of two or three talks. The purpose of these talks is to force me to write some notes that I have been meaning to do for a few months.

Soroosh Yazdani, University of Lethbridge

“The greatest prime divisor of EDS”

(Let P(k) be the greatest prime divisor function. In 1965 Erdos conjectured that limit ofP(2n − 1)/nis infinity.

Janis Lazovskis, Department of Pure Mathematics, University of Waterloo

“Chern classes: Part 3”

In this third and final series of talks exclusively on the Chern classes, we will discuss what the Chern classes say about non-zero and linearly independent sections of vector bundles. Applications and extensions to other fields will be demonstrated.

J.C. Saunders, Department of Pure Mathematics, University of Waterloo

“Jumping Champions: Gaps Between Primes”

We explore the behaviour of the differences between consecutive prime numbers.

Craig Kleski, Miami University, Oxford Ohio

“Hyperrigidity of operator systems”

In 2009, Arveson formulated a conjecture related to Korovkin-type properties for certain noncommutative function spaces and the C*-algebras they generate.

Renzhi Song, Department of Pure Mathematics, University of Waterloo

“Taylor and cyclic terms on finite algebras. Claims and proofs.”

We continue to prove equivalence of the existence of Taylor and cyclic terms on finite algebras.

Rajat Mittal, Combinatorics and Optimization, University of Waterloo

“Kadison-Singer Problem: mixed characteristic polynomials”

We will continue working through the paper by Marcus, Spielman and Srivastav.

Ehsaan Hossain, University of Waterloo

“Finally some group theory ... almost”

Let’s head straight for Corollary 3.13 in section IV.3 (the finite thing with the abelian subgroup). To do this, we’ll be reading section III.9, titled ”The Transfer Map”. It appears that understanding this bit is the first of two steps in proving Corollary 3.13.

Jason Bell, Department of Pure Mathematics, University of Waterloo 

“Hopf algebra actions on rings, II”

We will give a quick review from last time and will continue our discussion from last time.