Events

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

"Generic Reals and Generic Enumerations"

This week we first continue proving results about 1-generics, namely, we will talk about "mutually  generic" reals. After that we move to the Generic Enumerations of structures where we decide r.i.c.e. sets on an $\omega$-presentations instead of c.e. sets of finite sequences.

MC 5413

Note different time and room for this week only.

Brett Nasserden, Department of Pure Mathematics, University of Waterloo

"The Proj Construction"

The Proj construction is a fundamental tool in algebraic geometry. Following Vakil's exposition we will construct a scheme Proj S from a commutative graded ring S. Time permitting we will discuss some of the properties of Proj S and how it relates to the classical definition of projective space over a field.

MC 5479

Anthony McCormick, Department of Pure Mathematics, University of Waterloo

"The Classification of Simple Lie Algebras Part 1: Roots"

We'll begin proceeding towards our main goal for this semester: the classification of simple Lie algebras (and also simple linear algebraic groups) by Dynkin diagrams. Our first goal is to understand the notion of a root. We will then outline the basic strategy before analyzing the rank one scenario.

MC 5413

Kathryn Hare, Department of Pure Mathematics, University of Waterloo

"Local dimensions of self-similar measures with overlap"

Levon Haykazyan, Department of Pure Mathematics, University of Waterloo

"NIP, Keisler Measures and Combinatorics"

We continue with Starchenko¹s Bourbaki paper, beginning now to look at the application to combinatorics.

MC 5413

Cam Marcott, Department of Combinatorics & Optimization, University of Waterloo

We define matroidal flips, which will be the primary inductive tool for proving the Hodge-Riemann relations and the Hard Lefschetz Theorem for matroids. Time permitting, we will begin to prove these things.

MC 5403

Jesse Peterson, Vanderbilt University

"Connes’ character rigidity conjecture for lattices in higher rank groups"

Jonny Stephenson, Department of Pure Mathematics, University of Waterloo

"1-generic presentations and r.i.c.e. sets"

We will conclude our study of 1-generic presentations by showing that there is a strong link between 1-genericity and r.i.c.e sets. In particular, we will see that if A is a 1-generic presentation, then the sets which are c.e. in D(A) are precisely those which are r.i.c.e.
 

MC 5403

Nickolas Rollick, Department of Pure Mathematics, University of Waterloo

"A quasi-separated talk"

Roger Baker, Brigham Young University

"Quadratics over the primes"

Let ||...|| denote distance from the nearest integer. Let f be a quadratic polynomial with irrational leading coefficient. We give a new result on small values of ||f(p)|| for infinitely many primes p. One technique that is used involves a lemma of Birch and Davenport on a real number with many rational approximations, and I will try to explain the role of this lemma in the work.

M3 3103