## 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

Wednesday, June 29, 2022 — 1:00 PM EDT

**Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo**

**"Amenability Properties and Subobjects of Quantum Groups"**

Wednesday, June 29, 2022 — 9:30 AM EDT

**Talk #1 (9:30am-10:45am): Catalina Quincosis Martínez, Department of Pure Mathematics, University of Waterloo**

Tuesday, June 28, 2022 — 1:30 PM EDT

**Yash Singh, Department of Pure Mathematics, University of Waterloo**

**"The Arithmetic of the Brauer-Manin Obstruction"**

We study the Hasse principle on the existence of rational points on varieties and the Brauer-Manin obstruction which in some cases explains the failure of the Hasse principle.

This seminar will be held jointly online and in person:

- Room: MC 5403
- Zoom information: Meeting ID: 817 1030 9714; Passcode: 063438

Thursday, June 23, 2022 — 2:30 PM EDT

**Spencer Whitehead, Department of Pure Mathematics, University of Waterloo**

**"Spin and Spinors"**

We will define the groups Spin and Pin, the spinor representation, spin structures, and spinor bundles. As time permits we will look at some examples of spin structures and topological obstructions to spinnability.

MC 5403

Wednesday, June 22, 2022 — 4:00 PM EDT

**Sabrina Lato, Department of Combinatorics & Optimization, University of Waterloo**

**"Perron, Frobenius, and some unexpected applications"**

Wednesday, June 22, 2022 — 2:30 PM EDT

**Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo**

**"Multipliers on Fourier Algebras"**

We will give a brief introduction to multipliers on the Fourier algebra of a locally compact group. Then we will discuss weak amenability, which is a weakening of amenability from the perspective of Leptin's theorem. It was shown by Haagerup that, though free groups are non-amenable, they are weakly amenable. The finale will proceed by outlining a proof of this theorem.

MC 5403

Wednesday, June 22, 2022 — 9:30 AM EDT

**Talk #1 (9:30am - 10:45am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo**

**"Isometric Immersions, part 1"**

This series of talks will cover Chapter 6 of Manfredo Do Carmo's book 'Riemannian Geometry'. In this specific talk we will introduce the notion of an isometric immersion and the second fundamental form. We will see some examples as well as some properties of isometric immersions and the creation of the second fundamental form for a Riemannian manifold.

Thursday, June 16, 2022 — 2:30 PM EDT

**Spencer Whitehead, Department of Pure Mathematics, University of Waterloo**

**"Introduction to principal bundles"**

In this talk we will cover the basic theory of principal bundles and their relation to vector bundles via the frame and associated bundle constructions. We will define connections on principal bundles and structure group reductions, and then if time permits introduce the groups Spin(n) and spin structures on manifolds.

MC 5403

Thursday, June 16, 2022 — 1:00 PM EDT

**Xinli Wang, University of Manitoba**

**"Mastery-based grading in a second-year mathematics course"**

Wednesday, June 15, 2022 — 9:30 AM EDT

**Talk #1 (9:30am - 10:30am): Anton Iliashenko, Department of Pure Mathematics, University of Waterloo**

**"Some results about Riemannian submersions"**

We will go through some results about Riemannian submersions from the Arthur L. Besse's book on Einstein manifolds. For example, we will show that a surjective Riemannian submersion is harmonic iff the fibers are minimal, and some others as the time permits.

**Talk #2 (10:45am - 12:15pm): Jean-Pierre Bourguignon, President, European Research Council**

Tuesday, June 14, 2022 — 1:30 PM EDT

**Austin Sun, Department of Pure Mathematics, University of Waterloo**

**"Two Proofs of the Generalized Bézout's Theorem - Part II"**

Wednesday, June 8, 2022 — 9:30 AM EDT

**Talk #1 (9:30 am - 10:45 am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo**

**"Introduction to Kahler geometry, part 2"**

We will continue with the basics of complex geometry to build the necessary knowledge for studying Kahler geometry. More precisely we will talk about holomorphic forms and vector fields and, certain theorems that relate to integrability of the manifold and almost complex structures.

Thursday, June 2, 2022 — 1:00 PM EDT

**Parker Glynn-Adey, University of Toronto, Scarborough**

**"Teaching Strategies from Positive Psychology"**

Positive psychology is the study of happiness, well-being, autonomy, and other positive aspects of the human experience. It is best known in math education through growth mindset and the work of Carol Dweck. In this talk, we'll work on some simple and scattered teaching strategies inspired by positive psychology.

Wednesday, June 1, 2022 — 9:30 AM EDT

**Talk #1 (9:30 - 10:45 am): Daren Cheng, Department of Pure Mathematics, University of Waterloo**

**"A strong stability condition on minimal submanifolds and its implications, Part 2"**

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.