## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Wednesday, November 21, 2018 — 3:30 PM EST

**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

Wednesday, November 21, 2018 — 4:30 PM EST

**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

Thursday, November 22, 2018 — 3:00 PM EST

**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.

Thursday, November 22, 2018 — 4:00 PM EST

**Ruizhang Jin, Department of Pure Mathematics, University of Waterloo**

"Model-theoretic Analysability in Differentially Closed Fields"

Friday, November 23, 2018 — 1:30 PM EST

**Hanci Chi, McMaster University**

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

Friday, November 23, 2018 — 3:00 PM EST

**Andrea Vaccaro, University of Pisa/York University**

"Trace spaces of Counterexamples to Naimark's Problem"

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1