## 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

Visit our **COVID-19 Information website** for information on our response to the pandemic.

Please note: The University of Waterloo is closed for all events until further notice.

Friday, November 30, 2018 — 3:00 PM EST

**Sascha Troscheit, Department of Pure Mathematics, University of Waterloo**

"Quasi self-similarity and the dimension drop conjecture for self-conformal sets"

Thursday, November 29, 2018 — 4:00 PM EST

**Rahim Moosa, Department of Pure Mathematics, University of Waterloo**

"Pseudo-finite sets and dimension, Part 6"

I will discuss the pseudo-finite Larsen-Pink inequality, which compares pseudo-finite dimension to algebraic dimension in simple algebraic groups.

MC 5403

Thursday, November 29, 2018 — 3:00 PM EST

**Andrej Vukovic, Department of Pure Mathematics, University of Waterloo**

"Fundamental Group of the Circle and Other Highlights"

Today we construct the circle type and show that its fundamental group is Z, using synthetic homotopy theory. As requested at the last meeting, we also show that function extensionality implies weak function extensionality.

MC 5413

Wednesday, November 28, 2018 — 3:30 PM EST

**Ross Willard, Department of Pure Mathematics, University of Waterloo**

"Examples of dualizable and nondualizable algebras"

Having established useful criteria, I will illustrate their use in proving finite algebras are, or are not, dualizable.

MC 5403

Tuesday, November 27, 2018 — 4:30 PM EST

**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

Tuesday, November 27, 2018 — 2:30 PM EST

**Owen Biesel, Carleton College**

"G-closures and discriminant algebras"

Tuesday, November 27, 2018 — 1:30 PM EST

**Ananth Shankar, MIT**

"Exceptional splitting of abelian surfaces over global function fields"

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

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

"Trace spaces of Counterexamples to Naimark's Problem"

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

**Hanci Chi, McMaster University**

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

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

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

"Model-theoretic Analysability in Differentially Closed Fields"

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.

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

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

Friday, November 16, 2018 — 3:00 PM EST

**Brian Forrest, Department of Pure Mathematics, University of Waterloo**

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

Friday, November 16, 2018 — 1:30 PM EST

**Jesse Madnick, McMaster University**

"Nearly-Kahler 6-Manifolds of Cohomogeneity-Two"

Thursday, November 15, 2018 — 4:00 PM EST

**Remi Jaoui, Pure Math Department, University of Waterloo**

"Pseudo-finite sets and dimension, Part 5"

In this second talk on probability logic, I will discuss stability for terms (or real-valued formulas) in probability logic.

MC 5403

Thursday, November 15, 2018 — 3:00 PM EST

"Univalence Implies Function Extensionality"

Since we did not get around to it last time, in this week's meeting of the Homotopy Type Theory Seminar, we prove that univalence implies function extensionality.

MC 5413

Thursday, November 15, 2018 — 3:00 PM EST

**Daniel Perales Anaya, Pure Math Department, University of Waterloo**

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

Wednesday, November 14, 2018 — 3:30 PM EST

**Justin Laverdure, Pure Math Department**

"Duality Compactness Part 2"

We'll prove the DCT itself, after having seen several supporting lemmas.

MC 5403

Tuesday, November 13, 2018 — 2:30 PM EST

**Travis Scrimshaw, University of Queensland**

"Stable Grothendieck polynomials and crystals"

Tuesday, November 13, 2018 — 1:30 PM EST

**Jerry Wang, Department of Pure Mathematics, University of Waterloo**

"The number of elliptic curves ordered by conductor"

Friday, November 9, 2018 — 3:00 PM EST

**Laurent Marcoux, Department of Pure Mathematics, University of Waterloo**

"Hilbert space operators with compatible off-diagonal corners"

Given a complex, separable Hilbert space $\mathcal{H}$, we characterize those operators for which $\| P T (I − P ) \| = \| (I − P )T P \|$ for all orthogonal projections $P$ on $\mathcal{H}$.

Friday, November 9, 2018 — 2:30 PM EST

**Chelsea Walton, University of Illinois at Urbana-Champaign**

"On the quadratic dual of the Fomin-Kirillov algebras"

This talk will be based on recent joint work with James Zhang on the quadratic dual (aka Koszul dual) of the Fomin-Kirillov algebras. It will include a brief review of nice ring-theoretic and homological properties of noncommutative graded algebras. No prior knowledge is assumed and open questions will be provided at the end.

MC 5479

Friday, November 9, 2018 — 1:30 PM EST

**Artour Tomberg, Western University**

"Metrics on twistor spaces of hypercomplex manifolds"

Thursday, November 8, 2018 — 4:00 PM EST

**Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo**

"Stable Regularity Lemma"

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