Events

Christopher Lang, Department of Pure Mathematics, University of Waterloo

"Hyperbolic monopoles with continuous symmetries (part 2)"

Few examples of hyperbolic monopoles exist. By modifying previous work of mine with collaborators, we will discuss a structure theorem for generating highly symmetric hyperbolic monopoles. We will briefly cover general geometric details discussed in my previous talk and focus more on the use of representation theory to generate monopoles and examine some examples generated by the method.

MC 5403

David Meretzky, University of Notre Dame

"A boundedness condition for differential fields"

Leo Jimenez, Department of Pure Mathematics, University of Waterloo

"Uncollapsed Hrushovski constructions, part 2"

Last week, we constructed the Hrushovski-Fraisse limit of a class of finite relational structures. This week, I will axiomatize these limits and prove they are omega-stable. I will also give a characterization of forking. If time allows, I will show some potential application. 

MC 5417

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"Integrable System on Smooth Projective Toric Varieties, Part 2"

This is a continuation to my previous talk on building an integrable system on smooth projective toric varieties. In my previous talk, I explained how to view a smooth projective toric variety as a symplectic reduction. In this talk I will briefly review this construction and from here show that the torus action in our variety is Hamiltonian and explain how the integrable system is constructed.

Maya Gusak, University of Waterloo

"Elliptic Curve Cryptography"

MC 5403

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Metatheorems (Part 2)"

We will introduce the game metatheorem of Antonio Montalban and discuss its function. Several examples of its usefulness will be given.

MC 5403

Alexander Yampolsky, V.N. Karazin National University, Kharkiv, Ukraine

"Some aspects of geometry of unit vector fields"

Bartlomiej Zawalski, Polish Academy of Sciences

"On affine bodies with rotationally invariant sections"

Guoliang Yu, Texas A&M University

"Index theory of the Dirac operator on manifolds with polyhedral boundary and its applications"

I will introduce a new index theory for Dirac operators on manifolds with polyhedral boundary and discuss how this theory can be applied to solve Gromov's dihedral extremality conjecture on scalar curvature. This is joint work with Jinmin Wang and Zhizhang Xie. This talk will be accessible to non-experts including graduate students.

MC 5501

Cameron Stewart, Department of Pure Mathematics, University of Waterloo

"On prime factors of binary recurrence sequences"

We shall discuss estimates for the greatest prime factor of terms of binary recurrence sequences.

MC 5479