Events

Brian Forrest, Department of Pure Mathematics, University of Waterloo

"Exotic Ideals in the Fourier-Stieltjes Algebra of a Locally Compact Group"

Ross Willard, Department of Pure Mathematics, University of Waterloo

"Dualizing the finite level"

Last week, Justin proved the Duality Compactness Theorem, which reduces the task of proving a duality to proving it “at the finite level,” that is, for the finite algebras in the quasi-variety ISP(M), at least for alter egos with a finite signature. This week I will present a characterization of when an alter ego dualizes the finite algebras in ISP(M). The characterization is especially useful when the term operations of M are understood.

MC 5403

Maxwell Levit, Department of Combinatorics & Optimization, University of Waterloo

"Topological Combinatorics and Combinatorial Topology"

I’ll tell you about a topological proof of a combinatorial result (The Borsuk-Ulam Theorem implies Kneser’s Conjecture), and a combinatorial proof of a topological result (Sperner’s Lemma implies the Brouwer fixed point theorem). 

MC 5501

Daniel Perales, Department of Pure Mathematics, University of Waterloo

"Random matrices, interlacing families of polynomials, and the expected characteristic polynomial"

In this session we will begin by ;reviewing the notion of real stability and some of its basic properties. Then we continue with the study of operators that preserve real stability. For this, we will look into the proof of the Gauss-Lucas Theorem, which asserts that for any complex polynomial f, the roots of its derivative, f', are contained in the convex hull of the roots of f.

Ruizhang Jin, Department of Pure Mathematics, University of Waterloo

"Model-theoretic Analysability in Differentially Closed Fields"

Hanci Chi, McMaster University

"Invariant Einstein Metrics of Cohomogeneity One with Principal Orbits as Wallach Spaces"

Andrea Vaccaro, University of Pisa/York University

"Trace spaces of Counterexamples to Naimark's Problem"

Ananth Shankar, MIT

"Exceptional splitting of abelian surfaces over global function fields"

Owen Biesel, Carleton College

"G-closures and discriminant algebras"

Aasaimani Thamizhazhagan, Department of Pure Mathematics, University of Waterloo

"Uncertainty Principles and Fourier Analysis"

The uncertainty principle is partly a description of a characteristic feature of quantum mechanical systems, partly a statement about the limitations of one's ability to perform measurements on a system without disturbing, and partly a meta-theorem in harmonic analysis that can be summed up as follows:

MC 5501