# Events by month

## July 2021

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### Algebraic Geometry Working Seminar

Monday, July 5, 2021 — 11:00 to 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

### Student Number Theory Seminar

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.

### Differential Geometry Working Seminar

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

Aidan Patterson, Department of Pure Mathematics, University of Waterloo

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

### Analysis Student Seminar

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"

### Algebraic Geometry Working Seminar

Monday, July 12, 2021 — 11:00 to 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

### Differential Geometry Working Seminar

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

Daren Cheng, Department of Pure Mathematics, University of Waterloo

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

### Analysis Student Seminar

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

Nick Manor, Department of Pure Mathematics, University of Waterloo

"Nonunital operator systems and noncommutative convexity"

### Algebraic Geometry Working Seminar

Monday, July 19, 2021 — 11:00 to 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

### Student Number Theory Seminar

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

Nolan Pyott, Department of Pure Mathematics, University of Waterloo

"Counting Primes using Seldberg's Sieve"

### Differential Geometry Working Seminar

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

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Metric compatible connections in dimension 3"

### Math Faculty Teaching Seminar

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

Ryan Clemmer and Sarah DeDecker, University of Guelph

"Designing Assessments to Encourage Problem Analysis"

### Analysis Student Seminar

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

Adina Goldberg, Department of Pure Mathematics, University of Waterloo

"Quantum Arrows"

### Algebraic Geometry Working Seminar

Monday, July 26, 2021 — 11:00 to 11:00 AM EDT

Spencer Whitehead, Department of Pure Mathematics, University of Waterloo

"A brief introduction to characteristic classes"

### Differential Geometry Working Seminar

Wednesday, July 28, 2021 — 11:00 to 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.

### Differential Geometry Working Seminar

Wednesday, July 28, 2021 — 12:30 to 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)"

### Analysis Student Seminar

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

Padraig Daly, Department of Pure Mathematics, University of Waterloo

"Quantum Superchannels"

### PhD thesis defence

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"

### July 2021

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