Events - October 2018

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

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

"Langlands duality and self-duality for Hitchin systems"

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

Eli Shamovich, Department of Pure Mathematics, University of Waterloo

"Noncommutative kernels, multipliers, and the Fock space"

Ben Passer, Department of Pure Mathematics, University of Waterloo

"Containment of Matrix Convex Sets"

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

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.

Neha Prabhu, Queen's University

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

**Note room change**

(Postponed from October 5, 2018)

Nico Spronk, Pure Mathematics, University of Waterloo

"On operator amenability of Fourier-Steiltjes algebras"

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

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.