## 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

Thursday, January 31, 2019 — 4:00 PM EST

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

"Pseudo-finite 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

Thursday, January 31, 2019 — 3:30 PM EST

**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

Wednesday, January 30, 2019 — 3:30 PM EST

**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

Tuesday, January 29, 2019 — 10:30 AM EST

**Levon Haykazyan, Department of Pure Mathematics, University of Waterloo**

"Coherence"

We discuss sections 2.2 and 2.3 of the Bakker-Brunebarbe-Tsimerman paper.

MC 5479

Monday, January 28, 2019 — 4:00 PM EST

**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

Friday, January 25, 2019 — 1:30 PM EST

**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!

Friday, January 25, 2019 — 8:00 AM to 6:00 PM EST

Pop by the Mathematics 3 (M3) Atrium any time throughout the day and watch as the omnitruncated dodecaplex comes together. Piece-by-piece 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.

Thursday, January 24, 2019 — 4:00 PM EST

**Patrick Speissegger, McMaster University**

"Limit cycles of planar vector fields, Hilbert’s 16th problem and o-minimality"

Thursday, January 24, 2019 — 3:00 PM EST

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

"Dualizing structures that are necessarily of infinite signature"

Wednesday, January 23, 2019 — 3:30 PM EST

**Guy Salomon, Department of Pure Mathematics, University of Waterloo**

"Hyperrigid subsets of Cuntz–Krieger algebras and the property of rigidity at zero”

Wednesday, January 23, 2019 — 3:30 PM EST

**Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo**

"The Isomorphism Problem for Pregeometries"

Tuesday, January 22, 2019 — 5:00 PM EST

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

"Cryptographic primitives and applications"

Tuesday, January 22, 2019 — 12:30 PM EST

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

"On basic and Bass quaternion orders"

Tuesday, January 22, 2019 — 10:30 AM EST

**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 Bakker-Brunebarbe-Tsimmerman.

MC 5479

Friday, January 18, 2019 — 2:30 PM EST

**Andriy Haydys, University of Freiburg**

"The blow up set of the Seiberg-Witten equation with multiple spinors"

Thursday, January 17, 2019 — 4:00 PM EST

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

"Pseudo-finite 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 k-approximate subgroups.

MC 5403

Wednesday, January 16, 2019 — 3:30 PM EST

**Tobias Fritz, Perimeter Institute**

"A separation theorem for order unit modules, with applications to random walks and the Laplace transform"

Tuesday, January 15, 2019 — 10:30 AM EST

**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 Bakker-Brunebarbe-Tsimerman 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).

Monday, January 14, 2019 — 4:00 PM EST

**Andriy Haydys, University of Freiburg**

"G2 instantons and the Seiberg-Witten monopoles"

G2 manifolds constitute a class of Einstein seven-manifolds 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 gauge-theoretic 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.

Friday, January 11, 2019 — 2:30 PM EST

**Julius Ross, University of Illinois at Chicago**

"Dualities between Complex PDEs and Planar Flows"

Friday, January 11, 2019 — 10:00 AM EST

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

"Model-theoretic Analysability in Differentially Closed Fields"

Thursday, January 10, 2019 — 4:00 PM EST

**David Marker, University of Illinois at Chicago**

"Logical Complexity of Schanuel's Conjecture"

Schanuel's Conjecture is naturally a \Pi^1_1-statement. We show that it is equivalent to a \Pi^0_3-statement 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

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.