## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Wednesday, October 31, 2018 — 3:30 PM EDT

**Justin Laverdure, Department of Pure Mathematics, University of Waterloo**

"Brute Force"

For a finite algebraic structure M, we still haven't settled the issue of whether any topological structures yield a duality. We will continue to not answer this question, but we will find a necessary candidate for such: the titular brute force construction. We'll say a few things about this, and (if we have time) cover some material for the following week.

MC 5403

Tuesday, October 30, 2018 — 1:30 PM EDT

**Melissa Emory, University of Toronto**

"On the global Gan-Gross-Prasad conjecture for general spin groups"

I will define the general spin groups, and discuss the Gan-Gross-Prasad conjecture including the global GGP conjecture for GSpin groups. I will show that the conjecture is verified in several low-rank cases.

MC 5417

Monday, October 29, 2018 — 4:00 PM EDT

**Sobhan Seyfaddini, CNRS, Jussieu**

"The Arnold conjecture and Hamiltonian homeomorphisms"

The Arnold conjecture on fixed points of Hamiltonian diffeomorphisms has been one of the main driving forces in the development of symplectic topology. After presenting the conjecture, we will introduce the notion of Hamiltonian homeomorphisms and will discuss whether the conjecture holds in non-smooth settings. The talk will be accessible to a broad audience.

MC 5501

Friday, October 26, 2018 — 3:00 PM EDT

**Jeremy Levick, Conestoga College**

"Factorizable Quantum Channels and Linear Matrix Inequalities"

Friday, October 26, 2018 — 1:30 PM EDT

**Richard Derryberry, University of Toronto and Perimeter Institute for Theoretical Physics**

"Langlands duality and self-duality for Hitchin systems"

Thursday, October 25, 2018 — 4:00 PM EDT

**John Sawatzky, Department of Pure Mathematics, University of Waterloo**

"The Banach-Tarski Paradox"

Thursday, October 25, 2018 — 3:00 PM EDT

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

"Univalence"

In this week's meeting of the homotopy type theory seminar, we begin by reviewing homotopy equivalence and the transport map. We then discuss dependent pair and function types in the context of homotopy theory and introduce function extensionality. Finally, we formalize the univalence axiom with the type-theoretic notion of homotopy equivalence.

MC 5413

Thursday, October 25, 2018 — 3:00 PM EDT

**Daniel Perales, Department of Pure Mathematics, University of Waterloo**

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

Wednesday, October 24, 2018 — 2:00 PM EDT

**Eli Shamovich, Department of Pure Mathematics, University of Waterloo**

"Noncommutative kernels, multipliers, and the Fock space"

Monday, October 22, 2018 — 4:00 PM EDT

**Thomas Lam, University of Michigan**

"The mirror theorem for minuscule flag varieties"

Friday, October 19, 2018 — 3:00 PM EDT

**Ben Passer, Department of Pure Mathematics, University of Waterloo**

"Containment of Matrix Convex Sets"

Friday, October 19, 2018 — 1:30 PM EDT

**Joey van der Leer Duran, University of Toronto**

"Hodge decompositions for Lie algebroids on manifolds with boundary"

Thursday, October 18, 2018 — 4:00 PM EDT

**Rémi Jaoui, Department of Pure Mathematics, University of Waterloo**

"Pseudo-finite sets and dimension, Part 3"

In the third part of this reading group, I will discuss the analogy between Szemeredi-Trotter theorem and certain instances of modularity for stable theories. Building on this analogy, I will explain how to derive Elekes-Szabo theorem from Szemeredi-Trotter inequalities, using the group configuration theorem.

MC 5403

Wednesday, October 17, 2018 — 3:30 PM EDT

**Justin Laverdure, Department of Pure Mathematics, University of Waterloo**

"The Pre-Duality Theorem"

We'll see the Pre-Duality Theorem, which says that a necessary condition for a topological structure M' to yield a duality on an algebraic structure M is for the data of M' to satisfy the commutativity/invariance properties seen last week. We'll chug along through the proof as far as we can go.

MC 5403

Wednesday, October 17, 2018 — 12:30 PM EDT

**Anton Mosunov, Department of Pure Mathematics, University of Waterloo**

"Representation of Prime Powers by Binary Forms"

*The PhD Student Research Seminar is an opportunity to share your research progress with your fellow students. Hopefully we will each be more aware of the various research areas in our department, and maybe even find connections that we did not notice before. Works-in-progress and technical presentations are welcome and encouraged. Let's share and get to know our peers! Also there will be cookies.*

Tuesday, October 16, 2018 — 2:30 PM EDT

**Ozgur Esentepe, University of Toronto**

"Noncommutative Resolutions and Annihilation of Cohomology"

Tuesday, October 16, 2018 — 1:30 PM EDT

**Neha Prabhu, Queen's University**

"The error term in the Sato-Tate theorem of Birch"

Monday, October 15, 2018 — 4:00 PM EDT

**Navaratnam Sri Namachchivaya, Department of Applied Mathematics, University of Waterloo**

"Multi-scale Dynamics and Information"

Friday, October 12, 2018 — 3:00 PM EDT

****Note room change****

**(Postponed from October 5, 2018)**

**Nico Spronk, Pure Mathematics, University of Waterloo**

"On operator amenability of Fourier-Steiltjes algebras"

Friday, October 12, 2018 — 3:00 PM EDT

****Note time change****

**Henri Roesch, Columbia University**

"Horizon Stability and the Null Penrose Inequality"

Wednesday, October 10, 2018 — 3:30 PM EDT

**Justin Laverdure, Department of Pure Mathematics, University of Waterloo**

"The Pre-Duality Theorem"

We'll see the Pre-Duality Theorem, which says that a necessary condition for a topological structure M' to yield a duality on an algebraic structure M is for the data of M' to satisfy the commutativity/invariance properties seen last week. We'll chug along through the proof as far as we can go.

MC 5403

Friday, October 5, 2018 — 1:30 PM EDT

**Fei Hu, University of British Columbia**

"Jordan property for algebraic groups in arbitrary characteristic"

Thursday, October 4, 2018 — 3:30 PM EDT

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

"Pseudo-finite sets and dimension, Part 2"

Having discussed the normalised counting measure on pseudo-finite sets and its application to Szemeredi Regularity, we now introduce the fine and coarse pseudo-finite dimensions for these sets, with an eye toward the Szemerdi-Trotter theorem.

Wednesday, October 3, 2018 — 3:30 PM EDT

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

"Natural dualities for finitely generated quasi-varieties - definitions and first results"

Wednesday, October 3, 2018 — 2:00 PM EDT

**Eli Shamovich, Pure Mathematics, University of Waterloo**

"Polynomials and rational functions"

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

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

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.