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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David Marker, University of Illinois at Chicago
"Logical Complexity of Schanuel's Conjecture"
Schanuel's Conjecture is naturally a \Pi^1_1statement. We show that it is equivalent to a \Pi^0_3statement in arithmetic by showing that if there are counterexamples, then there are computable counterexamples. The main ideas come from the work of Johnathan Kirby on exponential algebraic closure and exponential derivations.
MC 5403
Ruizhang Jin, Pure Mathematics, University of Waterloo
"Modeltheoretic Analysability in Differentially Closed Fields"
Julius Ross, University of Illinois at Chicago
"Dualities between Complex PDEs and Planar Flows"
Andriy Haydys, University of Freiburg
"G2 instantons and the SeibergWitten monopoles"
G2 manifolds constitute a class of Einstein sevenmanifolds and are of substantial interest both in Riemannian geometry and theoretical physics. At present a vast number of compact G2 manifolds is known to exist. In this talk I will discuss a gaugetheoretic approach to the construction of invariants of compact G2 manifolds. I will focus on an interplay between gauge theories in dimensions 7 and 3 and how this can be used for the construction of the invariants.
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Introduction"
This term some of us will be working through sections 2 and 3 (and maybe 4?) of a recent paper of BakkerBrunebarbeTsimerman in which a definable version of Serre's GAGA is developed (and then applied to solve an old problem of Griffiths). It is a kind of compromise between algebraic geometry and local complex analytic geometry facilitated by model theory (it seems to involve very little of the last).
Tobias Fritz, Perimeter Institute
"A separation theorem for order unit modules, with applications to random walks and the Laplace transform"
Rémi Jaoui, Department of Pure Mathematics, University of Waterloo
"Pseudofinite sets and dimension, Part 6"
In this first session of the reading group for 2019, I will summarize some results of the previous lectures on probability logic and explain some applications to the study of ultraproducts of kapproximate subgroups.
MC 5403
Andriy Haydys, University of Freiburg
"The blow up set of the SeibergWitten equation with multiple spinors"
David McKinnon, Department of Pure Mathematics, University of Waterloo
"Definable complex analytic spaces"
I'm going to talk about definable spaces, and then start on a discussion of section two of the paper of BakkerBrunebarbeTsimmerman.
MC 5479
Daniel Smertnig, Department of Pure Mathematics, University of Waterloo
"On basic and Bass quaternion orders"
Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo
"Cryptographic primitives and applications"
Guy Salomon, Department of Pure Mathematics, University of Waterloo
"Hyperrigid subsets of Cuntz–Krieger algebras and the property of rigidity at zero”
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
"The Isomorphism Problem for Pregeometries"
Ross Willard, Department of Pure Mathematics, University of Waterloo
"Dualizing structures that are necessarily of infinite signature"
Patrick Speissegger, McMaster University
"Limit cycles of planar vector fields, Hilbert’s 16th problem and ominimality"
Pop by the Mathematics 3 (M3) Atrium any time throughout the day and watch as the omnitruncated dodecaplex comes together. Piecebypiece the 3D polytope model will be put together by Professor Benoit Charbonneau and student, staff, and faculty volunteers. At the end of the day it will rise up and be a permanent art installation in M3.
Siddharth Mathur, University of Arizona
"Azumaya Algebras and the Resolution Property"
Azumaya algebras, are (etale) twisted forms of matrix rings. These objects are of great utility because they give rise to Brauer classes. Fifty years ago, Grothendieck asked whether every cohomological Brauer class has a corresponding Azumaya algebra. This question is still open even for smooth separated threefolds over the complex numbers!
Michael Lipnowski, McGill University
"Algorithms for the topology of arithmetic groups"
Integer matrix Lie groups \Gamma carry extremely deep arithmetic information. Topological invariants of \Gamma are particularly interesting. I will describe an algorithm which, given \Gamma, computes the homology of \Gamma together with the action of certain correspondences on it (Hecke operators). Joint work with Aurel Page.
MC 5501
Levon Haykazyan, Department of Pure Mathematics, University of Waterloo
"Coherence"
We discuss sections 2.2 and 2.3 of the BakkerBrunebarbeTsimerman paper.
MC 5479
Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo
"The Isomorphism Problem for Pregeometries"
We show that the isomorphism problem for rice pregeometries in which dependent elements are dense (Condition B) is $\Pi^0_3$hard.
MC 5413
Ross Willard, Department of Pure Mathematics, University of Waterloo
"Dualizing structures that are necessarily of infinite signature, part 2: proof of duality"
In this lecture I will give Pitkethly’s proof that her schizophrenic pair (described in the seminar the previous week) is in fact a dualizing pair.
MC 5479
Rémi Jaoui, Department of Pure Mathematics, University of Waterloo
"Pseudofinite sets and dimension, Part 7"
In my talk, I will explain a proof of the stabilizer theorem in the combinatorial setting (Sanders' Theorem) using the independence theorem of probability logic.
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 Indigenous Initiatives Office.