Events

Leo Jimenez, Department of Pure Mathematics, University of Waterloo

"Not pfaffian, Part II"

James Freitag has shown that the j-function is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".

MC 5417

Michael Albanese, Department of Pure Mathematics, University of Waterloo

"Spin^h and further generalisations of spin"

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part IV"

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will begin on chapter 3.

MC 5403

Robert Martin, University of Manitoba

"Non-commutative measure theory"

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"