Events

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"Spot it! and why it! (works)"

Do you like to play games? Can you easily distinguish different shapes? Are you at least 6 years old? Well then I've got the perfect game for you! It's called Spot it! (or Dobble if you're not from 'Merica). Fundamentally, the game is about quickly spotting the common symbol displayed on a given pair of cards. In this talk we will see the math behind why this game works. Spoiler: it's projective geometry!

Ronnie Nagloo, University of Illinois at Chicago

"Applications of model theory to functional transcendence"

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

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.

Ronnie Nagloo, University of Illinois at Chicago

"Geometric triviality in differentially closed fields"

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

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

Matthew Satriano, Department of Pure Mathematics, University of Waterloo

"Toric MMP"

I will discuss the minimal model program for toric varieties.

This seminar will be held jointly online and in person:

• Room: MC 5417
• Zoom information: Meeting ID: 991 8438 2567; Passcode: 502765; Link: https://uwaterloo.zoom.us/j/99184382567?pwd=aEEzM2tGV3BtbDdLdE40VzIydndrQT09

Christine Eagles, Department of Pure Mathematics, University of Waterloo

"A Note on Geometric Theories of Fields"

Will Johnson and Jinhe Ye have shown equivalence conditions on expansions of very slim fields, strongly geometric fields and algebraically bounded fields. As a consequence, we get a one-cardinal results for definable sets and positive dimensional interpretable set. We will work though this paper, entitled "A Note on Geometric Theories of Fields".

MC 5417

Keke Zhang, Department of Pure Mathematics, University of Waterloo

"An Introduction to Geometric Langlands"

We will begin with a discussion of the origin of the Langlands program in number theory, which is class field theory. Then we will give an introduction to the geometric Langlands conjecture. We will show Deligne's proof of the simplest case, which is the statement for GL(1).

This seminar will be held both online and in person:

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"The geometry of G2 manifolds: a marriage of non-associative algebra and non-linear analysis"