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
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Pranabesh Das, Pure Mathematics, University of Waterloo
"Variants of Erd{\H o}sSelfridge superelliptic curves and their rational points"
Jairo Goncalves, University of Sao Paulo
"Some problems in division rings"
Let $D$ be a division ring with center $k$ and multiplicative group $D^{\bullet}= D \setminus \{0\}$. Moreover, let $N \vartriangleleft D^{\bullet}$ be a noncentral normal subgroup. We address the various cases in which the following conjecture, due to Lichtman, holds:
Conjecture: $N$ contains a free (non cyclic) subgroup.
Eli Shamovich, Pure Mathematics, University of Waterloo
"Polynomials and rational functions"
Ross Willard, Pure Mathematics, University of Waterloo
"Natural dualities for finitely generated quasivarieties  definitions and first results"
Rahim Moosa, Pure Mathematics, University of Waterloo
"Pseudofinite sets and dimension, Part 2"
Having discussed the normalised counting measure on pseudofinite sets and its application to Szemeredi Regularity, we now introduce the fine and coarse pseudofinite dimensions for these sets, with an eye toward the SzemerdiTrotter theorem.
Fei Hu, University of British Columbia
"Jordan property for algebraic groups in arbitrary characteristic"
Justin Laverdure, Department of Pure Mathematics, University of Waterloo
"The PreDuality Theorem"
We'll see the PreDuality 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
**Note room change**
(Postponed from October 5, 2018)
Nico Spronk, Pure Mathematics, University of Waterloo
"On operator amenability of FourierSteiltjes algebras"
**Note time change**
Henri Roesch, Columbia University
"Horizon Stability and the Null Penrose Inequality"
Navaratnam Sri Namachchivaya, Department of Applied Mathematics, University of Waterloo
"Multiscale Dynamics and Information"
Neha Prabhu, Queen's University
"The error term in the SatoTate theorem of Birch"
Ozgur Esentepe, University of Toronto
"Noncommutative Resolutions and Annihilation of Cohomology"
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. Worksinprogress and technical presentations are welcome and encouraged. Let's share and get to know our peers! Also there will be cookies.
Justin Laverdure, Department of Pure Mathematics, University of Waterloo
"The PreDuality Theorem"
We'll see the PreDuality 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
Rémi Jaoui, Department of Pure Mathematics, University of Waterloo
"Pseudofinite sets and dimension, Part 3"
In the third part of this reading group, I will discuss the analogy between SzemerediTrotter theorem and certain instances of modularity for stable theories. Building on this analogy, I will explain how to derive ElekesSzabo theorem from SzemerediTrotter inequalities, using the group configuration theorem.
MC 5403
Joey van der Leer Duran, University of Toronto
"Hodge decompositions for Lie algebroids on manifolds with boundary"
Ben Passer, Department of Pure Mathematics, University of Waterloo
"Containment of Matrix Convex Sets"
Thomas Lam, University of Michigan
"The mirror theorem for minuscule flag varieties"
Eli Shamovich, Department of Pure Mathematics, University of Waterloo
"Noncommutative kernels, multipliers, and the Fock space"
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 typetheoretic notion of homotopy equivalence.
MC 5413
Daniel Perales, Department of Pure Mathematics, University of Waterloo
"Random matrices, interlacing families of polynomials, and the expected characteristic polynomial"
John Sawatzky, Department of Pure Mathematics, University of Waterloo
"The BanachTarski Paradox"
Richard Derryberry, University of Toronto and Perimeter Institute for Theoretical Physics
"Langlands duality and selfduality for Hitchin systems"
Jeremy Levick, Conestoga College
"Factorizable Quantum Channels and Linear Matrix Inequalities"
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 nonsmooth settings. The talk will be accessible to a broad audience.
MC 5501
Melissa Emory, University of Toronto
"On the global GanGrossPrasad conjecture for general spin groups"
I will define the general spin groups, and discuss the GanGrossPrasad conjecture including the global GGP conjecture for GSpin groups. I will show that the conjecture is verified in several lowrank cases.
MC 5417
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
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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.