Events

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

"Skew polynomial rings and their prime ideals"

The skew polynomial rings (Ore extensions) are of the form $T=R[x, \sigma, \delta],$  where $\sigma$ is a ring endomorphism of $R$ and $\delta$ is $\sigma$-derivation on $R$ such that $ax=x\sigma(a)+\delta(a)$. If both $\sigma$ and $\delta$ are non-trival, and $P$ is a prime ideal of $T$, we are interested in the prime ideal restriction $R\cap P$. In this talk,  we will introduce some result when $R$ is commutative noetherian. 

Nick Rollick, Department of Pure Mathematics, University of Waterloo

"Dots, lines, and arrows"

**This talk has been cancelled**

Ertan Elma, Department of Pure Mathematics, University of Waterloo

"Selberg's Sieve"

We will start reading Chapter 7 of the book An Introduction to Sieve Methods and Their Applications, by R. Murty, C. Cojocaru.

MC 5403

Anton Mosunov, Department of Pure Mathematics, University of Waterloo

"Normality and Factoriality"

We will define normal schemes and factorial schemes, see several examples of them, and prove that factoriality of a scheme implies its normality.

MC 5403

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"A new construction of compact $G_2$ manifolds by glueing Eguchi-Hanson spaces, Part III.b: Fibrewise blow-up by a family of Eguchi-Hanson spaces, continued"

David Tweedle, The University of the West Indies

"Artin's conjecture on primitive roots and function field analogues"

Recall Artin's primitive root conjecture, which states that if a is not -1 or a square then the reduction of a modulo p generates the multiplicative group of the integers modulo p for infinitely many primes p.  We will examine the similarities and differences between Artin's conjecture and some natural analogues for elliptic curves and function fields.

MC 5403

Pantelis Eleftheriou, University of Konstanz

"Small sets in dense pairs"

Anthony McCormick, Department of Pure Mathematics, University of Waterloo

"Ricci Flow and Renormalization"

Many of us have heard that there is some sort of relationship between Ricci flow and renormalization group flow in QFT. The goal of this talk/discussion will be to try and understand this relationship.

MC 5479

Michael Deveau, Department of Pure Mathematics, University of Waterloo

"Effective Bi-interpretability -- Part 2"

We continue exploring the properties of effective bi-interpretability introduced last time. We shall see that two structures being effectively bi-interpetable requires that they have very similar properties in terms of many of the notions discussed thus far.

MC 5403

Blake Madill, Department of Pure Mathematics, University of Waterloo

"Contributions to the Theory of Radicals for Noncommutative Rings"

We consider several radical classes of noncommutative rings. In particular, we provide new results regarding the radical theory of semigroup-graded rings, monomial algebras, and Ore extensions of derivation type.