Salma Shaheen, Department of Pure Mathematics, University of Waterloo
"Algebras from Finite Group Actions"
Keke Zhang, Department of Pure Mathematics, University of Waterloo
"More about the Langlands Program"
We will talk about the Fourier-Mukai transform and how it relates to geometric Langlands correspondence, Geometric Langlands for reductive groups (geometric Satake equivalence) and their examples. If time allows, we will give a deformed version of the Fourier-Mukai transform.
This seminar will be held both online and in person:
Aleksandar Milivojevic, Max Planck Institute for Mathematics, Bonn
"Topological aspects of almost complex structures on the six sphere"
Alexander Yampolsky, V.N. Karazin National University, Kharkiv, Ukraine
"Some aspects of geometry of unit vector fields"
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
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
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
David Meretzky, University of Notre Dame
"A boundedness condition for differential fields"
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