Events tagged with webnotice

Jeremy Champagne, Department of Pure Mathematics, University of Waterloo

"Geometry of numbers as a tool for Diophantine approximation"

Anybody who has taken a course on algebraic number theory, has probably seen Minkowski's convex body theorem as a mean to prove the finiteness of class groups. However, less people know about Minkowski's second convex body theorem, which gives much more insight into this problem of finding integer points with certain properties.

Elliot Kaplan, McMaster University

"Hilbert polynomials for finitary matroids"

Changho Han, Department of Pure Mathematics, University of Waterloo

"A Brief Introduction to the General MMP Part 2"

Continuing from where we left off last time, I will discuss singularities of the MMP. Then, I will give a brief explanation of how the higher-dimensional MMP works; note that there will be some key differences from the surface case, including flips.

This seminar will be held jointly online and in person:

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

Robert Martin, University of Manitoba

"Non-commutative measure theory"