## 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

Tuesday, January 30, 2018 — 3:00 PM EST

**Brett Nasserden, Department of Pure Mathematics, University of Waterloo**

"Finiteness conditions of schemes"

To better understand the category of schemes I will explore finiteness properties that the morphisms between schemes may possess. In particular, affine, integral, and other finite type conditions will be examined. The lecture should be accessible to anyone with a basic understanding of scheme theory.

MC 5417

Monday, January 29, 2018 — 11:30 AM EST

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

"Problems on sofic and hyperlinear groups"

Friday, January 26, 2018 — 2:30 PM EST

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

"Connes' embedding problem and quantum XOR games"

Friday, January 26, 2018 — 2:30 PM EST

**Michael Bailey, Department of Pure Mathematics, University of Waterloo**

"Newlander-Nirenberg type theorems in unusual geometries"

Certain local structure results in generalized complex geometry may be seen as a (work-in- progress) much-more-general Newlander-Nirenberg theorem for stacks (or higher stacks/derived geometry).

MC 5403

Friday, January 26, 2018 — 2:00 PM EST

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

"Boolean algebras, Part 3"

I’ll explain the tight relationship between Boolean algebras and Stone (or Boolean) topological spaces.

MC 5479

Wednesday, January 24, 2018 — 3:30 PM EST

**Iordan Ganev, IST Austria**

"The wonderful compactification for quantum groups"

Wednesday, January 24, 2018 — 2:00 PM EST

**Tristan Freiberg, Department of Pure Mathematics, University of Waterloo**

"The finer points of the distribution of primes"

I will explain why primes are like fatal horse kicks.

The talk will be accessible and expository---if you know what a horse is, you're good to go!

MC 5403

Tuesday, January 23, 2018 — 1:30 PM EST

**Anup Dixit, University of Toronto**

"On the generalized Brauer-Siegel Theorem"

Tuesday, January 23, 2018 — 10:00 AM EST

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

"On the quantum group M_q(2)"

This is a continuation of Hongdi's talk last week where she introduced the quantum plane k_q(2). We will discuss the quantum group M_q(2) and its relation to the quantum plane.

MC 5403

Monday, January 22, 2018 — 4:00 PM EST

**Ruodu Wang, Department of Statistics and Actuarial Science, University of Waterloo**

"Mathematics of the Financial Crisis: Aggregation, Measurement, and Optimization of Risks with Model Uncertainty"

Friday, January 19, 2018 — 2:30 PM EST

**Robert Martin, University of Cape Town**

"A multi-variable de Branges-Rovnyak model for row contractions"

Friday, January 19, 2018 — 2:00 PM EST

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

"Boolean algebras, Part 2"

I’ll continue the elementary exposition of Boolean algebras, explaining their tight connection to Boolean rings and then moving on to ideals and filters.

MC 5479

Wednesday, January 17, 2018 — 2:30 PM EST

**Dustin Cartwright, University of Tennessee**

"Topology of dual complexes"

Wednesday, January 17, 2018 — 2:00 PM EST

**Julia Brandes, Department of Pure Mathematics, University of Waterloo**

"Diophantine equations and the Hardy-Littlewood circle method"

Tuesday, January 16, 2018 — 10:00 AM EST

**Hongdi Huang, Department of Pure Mathematics, University of Waterloo**

"Hopf Algebras GL_{q}(2) and SL_{q}(2)"

The algebra M_{q}(2) is the quotient of the free algebra k{a, b, c, d} by the two-sided ideal J_{q} that is generated by some quadratic elements. In this talk, we will see how to reduce Hopf Algebra GL_{q}(2) and SL_{q}(2) from M_{q}(2).

MC 5403

Friday, January 12, 2018 — 1:30 PM EST

**Chadi Hamzo, Department of Pure Mathematics, University of Waterloo**

"Classification of Finitely Generated Operator Systems"

Friday, January 12, 2018 — 1:00 PM EST

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

"Boolean algebras, part I"

I will present Stone’s classical result that every Boolean algebra is embeddable into a power set algebra, and describe the equivalence of Boolean algebras with Boolean rings. Subsequent lectures will develop ultrafilters and Stone duality, on the way to explaining ultraproducts and proving a celebrated lemma of Jonsson.

MC 5403

Wednesday, January 10, 2018 — 2:00 PM EST

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

"Groups and Geometries"

The question whether groups with homogeneous pregeometries need to be commutative has been around for some time. I will give a partial positive answer to it. I will explain what is a pregeometry and when is it homogeneous.

MC 5403

Tuesday, January 9, 2018 — 1:30 PM EST

**Faustin Adiceam, Department of Pure Mathematics, University of Waterloo**

"How far can you see in a forest?"

We will be answering the following question raised by Christopher Bishop: 'Suppose we stand in a forest with tree trunks of radius r > 0 and no two trees centered closer than unit distance apart. Can the trees be arranged so that we can never see further than some distance V < \infty, no matter where we stand and what direction we look in? What is the size of V in terms of r?'

MC 5417

Tuesday, January 9, 2018 — 10:00 AM EST

**Hongdi Huang, Department of Pure Mathematics, University of Waterloo**

"Quantum Groups and Hopf Algebras"

Friday, January 5, 2018 — 3:00 PM EST

**Dennis The, The University of Tromso**

"Exceptionally simple PDE"

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.