## 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

**Returning to in-person experiences in February:** Visit the COVID-19 website for more information.

Wednesday, June 29, 2016 — 1:30 PM EDT

Wednesday, June 29, 2016 — 10:00 AM EDT

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

“The Golden Run Construction - Part 2”

Tuesday, June 28, 2016 — 11:00 AM EDT

**Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo **

“The Green’s function and asymptotically flat manifolds, Part 2”

We will complete the discussion of Section 6 of the Lee/Parker paper on the Yamabe problem. All that remains is to prove Lemma 6.4, on the asymptotic expansion of the Green’s function for the box operator.

M3 4001 **Please note room** Friday, June 24, 2016 — 3:30 PM EDT

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

“A Free Unitary Analogue of Kirchberg’s Conjecture”

Thursday, June 23, 2016 — 11:00 AM EDT

**Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo **

“The Green’s function and asymptotically flat manifolds”

Wednesday, June 22, 2016 — 3:30 PM EDT

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

“Conservative constraints Part 4”

This is the 4th in a series of 6 lectures aiming to make sense of Andrei Bulatovs paper, Conservative constraint satisfaction re-revisited, J. Comput. Sys. Sci. 82 (2016), 347-356. This week: fixing the bugs in Lemma 3.5.

M3-3103

Wednesday, June 22, 2016 — 10:00 AM EDT

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

“The Golden Run Construction - Part 1”

Tuesday, June 21, 2016 — 2:00 PM EDT

**Spiro Karigiannis,Department of Pure Mathematics, University of Waterloo **

“One more time for conformal normal coordinates”

Monday, June 20, 2016 — 11:30 AM EDT

**Shubham Dwivedi, Department of Pure Mathematics, University of Waterloo **

“Conformal Normal Coordinates”

We will prove the existence of conformal normal coordinates on a Riemannian manifold M and will show how that simplifies the local geometry on M more than the geodesic normal coordinates. We will also give important applications of conformal normal coordinates to the solution of the Yamabe problem.

Thursday, June 16, 2016 — 2:00 PM EDT

**Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo **

“Conformal Normal Coordinates and Graham’s Theorem”

We will complete our discussion of Section 5 of the Lee/Parker paper on the Yamabe problem, including the proof of the Theorem of Robin Graham on the existence of conformal normal coordinates.

MC 5501

Wednesday, June 15, 2016 — 10:30 AM EDT

**Adam Jaffe, Department of Pure Mathematics, University of Waterloo **

“Bipartite graphs admitting a k-NU polymorphism Part 3”

Wednesday, June 15, 2016 — 10:00 AM EDT

**Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo **

“The Decanter Method (III)”

Last week we saw how to prove that a K-trivial real cannot be Turing complete, but we made several simplifying assumptions that set constants equal to zero.

This week, we will show how to modify the construction we used to make it work when the constants are allowed to take on arbitrary values.

Tuesday, June 14, 2016 — 2:30 PM EDT

**Anton Mosunov, Department of Pure Mathematics, University of Waterloo **

“ESTIMATING THE NUMBER OF SOLUTIONS OF A THUE EQUATION: FURTHER ADVANCEMENTS”

Monday, June 13, 2016 — 11:30 AM EDT

**Gregorio Arturo Reyes Gonz****alez, Instituto Tecnologico y de Estudios Superiores de Monterrey **

Visiting the Department of Pure Mathematics, University of Waterloo

“Different definitions for Tangent Vectors”

Friday, June 10, 2016 — 3:30 PM EDT

**Adam Dor On, Department of Pure Mathematics, University of Waterloo **

“Classification of C*-envelopes of tensor algebras arising from stochastic matrices”

Thursday, June 9, 2016 — 2:00 PM EDT

**Anthony McCormick and Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo **

“Yamabe and the Jets”

First Anthony will complete the discussion of jets, differential operators, and the Peetre theorem. Then Spiro will discuss Section 5 of the Lee/Parker paper on the Yamabe prob- lem, focusing on theorem of Robin Graham that is a conformal analogue of the existence of Riemannian normal coordinates.

Thursday, June 9, 2016 — 1:30 PM EDT

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

“Distribution of sums of two squares in intervals.”

We present a k-tuples conjecture for sums of two squares, and discuss its implications for the distribution of sums of two squares in intervals.

M3 3103

Wednesday, June 8, 2016 — 2:30 PM EDT

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

“An Introduction to Types”

Having defined various types of von Neumann algebras, we are ready to examine some of their structural properties. We shall see that every factor is exactly one of these five types.

M3 2134

Wednesday, June 8, 2016 — 10:00 AM EDT

**Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo **

“The Decanter Method (continued)”

Last week we introduced the decanter method, which we used to show that there is no wtt-complete K-trivial.

Tuesday, June 7, 2016 — 10:00 AM EDT

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

"Nevanlinna-Pick spaces and dilations"

Monday, June 6, 2016 — 2:30 PM EDT

**Anton Mosunov, Department of Pure Mathematics, University of Waterloo**

“The number of solutions of a Thue equation”

Monday, June 6, 2016 — 11:30 AM EDT

**Mengxue Yang, Department of Pure Mathematics, University of Waterloo **

“Curvature of Surfaces”

Friday, June 3, 2016 — 3:30 PM EDT

**Ivan Todorov, Queens University Belfast **

“Norms of vector functionals”

Friday, June 3, 2016 — 10:00 AM EDT

**Matthew Wiersma, Department of Pure Mathematics, University of Waterloo **

“Exotic group C*-algebras, tensor products, and related constructions”

Thursday, June 2, 2016 — 4:00 PM EDT

**Mitchell Haslehurst, Department of Pure Mathematics, University of Waterloo **

“Peano space-filling curve”

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 Indigenous Initiatives Office.