## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Visit our **COVID-19 Information website** for information on our response to the pandemic.

Please note: The University of Waterloo is closed for all events until further notice.

Wednesday, February 28, 2018 — 2:00 PM EST

**Sascha Troscheit, Pure Math Department, University of Waterloo**

"Non-linear fractals and Hausdorff measure"

Tuesday, February 27, 2018 — 3:00 PM EST

"Almost (generically) free of Chevalley"

Tuesday, February 27, 2018 — 1:30 PM EST

**Francesco Cellarosi, Queen's University**

"Statistical properties of B-free numbers"

B-free numbers were introduced by Erdős as a generalization of squarefree integers. I will present some results about the statistical properties of B-free numbers and a dynamical systems naturally associated to them. In particular, I will discuss a central limit theorem resembling a result by J. Beck on irrational circle rotations. Joint work with M. Avdeeva and Ya.G. Sinai.

MC 5417

Monday, February 26, 2018 — 1:30 PM EST

**Matt Satriano, Department of Pure Mathematics, University of Waterloo**

"Short Ride in a Height Machine"

This talk is meant to be a quick introduction to the theory of height functions on projective varieties defined over number fields. After describing the fundamental case of heights on projective space, we go into the basics of Weil's height machine. For any projective variety, this gives a height function attached to each linear equivalence class of Cartier divisors (or each line bundle), satisfying a variety of pleasant functorial properties.

Friday, February 23, 2018 — 2:30 PM EST

**Sebastien Picard, Columbia University**

"The Anomaly flow over Riemann surfaces"

Friday, February 16, 2018 — 2:30 PM EST

**Boyu Li, Department of Pure Mathematics, University of Waterloo**

"Examples of Free Semigroupoid Algebras"

Friday, February 16, 2018 — 2:30 PM EST

**Ali Aleyasin, Department of Pure Mathematics, University of Waterloo**

"Calabi problem on conifolds"

Friday, February 16, 2018 — 2:00 PM EST

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

"Facts about finite algebras"

If an algebra A is finite, what can we say about the variety HSP(A)? We'll show that such varieties are locally finite, i.e. its members which are finitely generated are in fact finite. Further, if such a variety has any infinite subdirectly irreducible algebras, then in fact it has arbitrarily large finite ones as well.

MC 5479

Wednesday, February 14, 2018 — 2:00 PM EST

**Mizanur Rahaman, Department of Pure Mathematics, University of Waterloo**

"Eventually Entanglement Breaking Maps"

Tuesday, February 13, 2018 — 3:00 PM EST

**David Urbanik, Department of Pure Mathematics, University of Waterloo**

"Chevalley's Theorem on Constructible Sets in the Language of Schemes"

Monday, February 12, 2018 — 4:00 PM EST

**Omer Tamuz, Caltech**

"The Poisson boundary, strong amenability and the infinite conjugacy class property"

Monday, February 12, 2018 — 1:30 PM EST

**Matt Satriano, Department of Pure Mathematics, University of Waterloo**

"Introduction to the work of Baker and DeMarco"

We give an overview of the following result of Baker--DeMarco: if $\varphi, \psi \in\mathbb{C}(z)$ have infinitely many preperiodic points in common, then all of their preperiodic points are the same. We discuss the connection between this complex analytic statement and non-archimedean Berkovich spaces.

MC 5403

Monday, February 12, 2018 — 12:30 PM EST

**Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo**

"Ultraproducts again"

We'll finish the proof for ordinary products and start the ultraproduct construction.

MC 5403

Friday, February 9, 2018 — 2:30 PM EST

**Sam Kim, Department of Pure Mathematics, University of Waterloo**

"On Synchronous Quantum Games"

Friday, February 9, 2018 — 2:00 PM EST

**Nasir Sohail, Wilfrid Laurier University**

"Ultraproducts and congruence distributive varieties - Part 2"

I shall prove that the class of subdirectly irreducible algebras in a congruence distributive variety V generated by a class K is contained in the class obtained by taking the closures under S (subalgebras) and H (homomorphisms) of the class of all ultraproducts over K.

MC 5479

Wednesday, February 7, 2018 — 2:00 PM EST

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

"An Embedding Theorem for C*-algebras"

Tuesday, February 6, 2018 — 4:30 PM EST

**Arthur Mehta, Department of Pure Mathematics, University of Waterloo**

"An Introduction to Quantum Graphs, Chromatic Numbers and Lovász Inequalties"

Tuesday, February 6, 2018 — 3:00 PM EST

**Diana Castaneda Santos, Department of Pure Mathematics, University of Waterloo**

"Finite and integral morphisms"

We will continue studying properties of finite and integral morphisms. We will use properties of algebra homomorphisms to prove that finite morphisms have finite fibers and that they are affine local on the target. We will also prove that integral morphisms are closed and we will study some examples. Time permitting we will introduce morphisms (locally) of finite type.

MC 5417

Tuesday, February 6, 2018 — 1:30 PM EST

**Jeffrey Shallit, David R. Cheriton School of Computer Science, University of Waterloo**

"Waring's theorem for binary *k*'th powers and palindromes"

Tuesday, February 6, 2018 — 10:00 AM EST

**Chris Schafhauser, Department of Pure Mathematics, University of Waterloo**

"More on *GL _{q}*(2) and

Last week Hongdi constructed the Hopf algebra structure on *GL _{q}*(2) and

MC 5403

Monday, February 5, 2018 — 4:00 PM EST

**Boris Khesin, University of Toronto**

"Integrability and non-integrability in pentagram maps"

Monday, February 5, 2018 — 12:30 PM EST

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

"Ultraproducts and some loose ends"

We'll complete the metric ultraproduct construction, and show that a sofic group embeds in an ultraproduct of symmetric groups equipped with the Hamming distance. If possible we'll tie up some of the loose ends from last time, e.g. the dependence on that constant *r*, and residually finite groups.

MC 5403

Friday, February 2, 2018 — 2:30 PM EST

**Vern Paulsen, University of Waterloo**

"Complexity and Capacity Bounds for Operator Systems and Quantum Channels"

Friday, February 2, 2018 — 2:30 PM EST

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

"Real Fibered Morphism and Definite Determinantal Representations"

Friday, February 2, 2018 — 2:00 PM EST

**Nasir Sohail, Wilfrid Laurier University**

"Ultraproducts and congruence distributive varieties - Part 1"

I shall go from (direct) product to ultraproduct using a particular congruence. The ultraproduct of a finite set of finite algebras will be considered as a special case.

MC 5479

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

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