## 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, July 29, 2021 — 9:30 AM EDT

**Ragini Singhal, Department of Pure Mathematics, University of Waterloo**

"Deformation theory of nearly $\rm{G}_2$-structures and nearly $\rm{G}_2$ instantons"

Wednesday, July 28, 2021 — 3:00 PM EDT

**Padraig Daly, Department of Pure Mathematics, University of Waterloo**

"Quantum Superchannels"

Wednesday, July 28, 2021 — 12:30 PM EDT

**Daren Cheng, Department of Pure Mathematics, University of Waterloo**

"The second variation of area of minimal surfaces in four-manifolds (Part 2)"

Wednesday, July 28, 2021 — 11:00 AM EDT

**Max Chemtov, Department of Pure Mathematics, University of Waterloo**

"Subalgebras of so(7) Induced by the Coassociative 4-Form on R^7"

Consider the 2-forms on R^7 resulting from evaluating the coassociative 4-form on two vectors. It turns out that, when such vectors are restricted to an associative 3-plane P, these 2-forms along with those in Λ^2(P) give a subalgebra of so(7) isomorphic to so(3) ♁ so(3). After giving some brief context, we will discuss this fact and characterize the intersections of such subalgebras for different choices of P.

Monday, July 26, 2021 — 11:00 AM EDT

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

"A brief introduction to characteristic classes"

Wednesday, July 21, 2021 — 3:00 PM EDT

**Adina Goldberg, Department of Pure Mathematics, University of Waterloo**

"Quantum Arrows"

Wednesday, July 21, 2021 — 12:00 PM EDT

**Ryan Clemmer and Sarah DeDecker, University of Guelph**

"Designing Assessments to Encourage Problem Analysis"

Wednesday, July 21, 2021 — 11:00 AM EDT

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

"Metric compatible connections in dimension 3"

Wednesday, July 21, 2021 — 9:00 AM EDT

**Nolan Pyott, Department of Pure Mathematics, University of Waterloo**

"Counting Primes using Seldberg's Sieve"

Monday, July 19, 2021 — 11:00 AM EDT

**Sean Monahan, Department of Pure Mathematics, University of Waterloo**

"Divisors on toric varieties"

I will continue from the last few talks on divisors by highlighting some important features of the toric case. The focus will be on torus invariant divisors and tools for computing the class group and Picard group of toric varieties.

Zoom meeting:

- Meeting ID: 811 2094 8164
- Passcode: 033003

Wednesday, July 14, 2021 — 3:00 PM EDT

**Nick Manor, Department of Pure Mathematics, University of Waterloo**

"Nonunital operator systems and noncommutative convexity"

Wednesday, July 14, 2021 — 11:00 AM EDT

**Daren Cheng, Department of Pure Mathematics, University of Waterloo**

"The second variation of area of minimal surfaces in four-manifolds"

Monday, July 12, 2021 — 11:00 AM EDT

**Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo**

"Divisors and line bundles, Part III"

In this week's talk, we finally describe the relationship between divisors and line bundles on complex varieties, illustrating it with some explicit examples.

Zoom meeting:

- Meeting ID: 811 2094 8164
- Passcode: 033003

Wednesday, July 7, 2021 — 3:00 PM EDT

**Daniel Perales Anaya, Department of Pure Mathematics, University of Waterloo**

"On the anti-commutator of two free random variables"

Wednesday, July 7, 2021 — 11:00 AM EDT

**Aidan Patterson, Department of Pure Mathematics, University of Waterloo**

"Local Normal Forms for Hamiltonian Actions of Poisson-Lie Groups"

Wednesday, July 7, 2021 — 9:00 AM EDT

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

"Representation of General Linear Group over Finite Field"

This talk aims at discussing the techniques used in finding all the irreducible representations of general linear groups over finite fields. A brief overview of representation theory is also provided, but no such overview is provided for group theory and field theory.

Monday, July 5, 2021 — 11:00 AM EDT

**Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo**

"Divisors and line bundles, Part II"

This week, we finish the discussion we started last week on the relationship between divisors and line bundles on complex varieties. We also describe the divisor class groups and the Picard groups of toric varieties.

The seminar will meet on Zoom:

- Meeting ID: 811 2094 8164
- Passcode: 033003

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.