# Events by date

## Tuesday, February 7, 2023

### Learning Seminar on Elliptic Curves

Tuesday, February 7, 2023 — 10:00 to 10:00 AM EST

Nicolas Banks, Department of Pure Mathematics, University of Waterloo

"Dual Isogenies, the Weil Pairing, and the Structure of Endomorphism Rings"

We conclude our review of the geometry of elliptic curves by studying dual isogenies. This allows us to prove important results on torsion elements on elliptic curves, culminating in the construction of the Weil pairing and the algebraic structure of rings of isogenies.

MC 5403

### Number Theory Seminar

Tuesday, February 7, 2023 — 11:30 to 11:30 AM EST

Michael Rubinstein, Department of Pure Mathematics, University of Waterloo

"Differential equations related to averages of the k-th divisor function"

Keating, Rodgers, Roditty-Gershon, and Rudnick have given a conjecture for the asymptotic behaviour of the mean square of sums of the $k$-th divisor numbers over short intervals, and have proven formulas for the analogous problem over $\mathbb{F}_q[t]$. I will discuss their work and describe determinantal and differential equations related to their formulas.

### Differential Geometry Working Seminar

Tuesday, February 7, 2023 — 2:30 PM EST

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"The third Betti number of nearly Kahler 6-manifolds"

### Logic Seminar

Tuesday, February 7, 2023 — 2:30 PM EST

Ronnie Nagloo, University of Illinois at Chicago

"Geometric triviality in differentially closed fields"

### February 2023

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