Changho Han, Department of Pure Mathematics, University of Waterloo
"Direct Images of D-modules: both naive and derived"
Larissa Kroell, Department of Pure Mathematics, University of Waterloo
"Boundaries and C*-simplicity of discrete groups and (slightly) more"
We will finish the proof that a discrete group is C*-simple if and only if it acts freely on its Furstenberg boundary. Afterwards, we will discuss some connections to the unique trace property. We will finish by looking at some examples of C*-simple groups.
MC 5479
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Rings without the Canonical Basis Property"
We will be reading "Rings of finite Morley rank without the CBP" by Loesch and Palacin. This talk will present the background algebra required for the construction.
MC 5479
Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo
"Degree spectra of computable structures - Part II"
The isomorphism spectrum of a pair of isomorphic computable structures is the set of Turing degrees that compute an isomorphism between the structures. The categoricity spectrum of a computable structure is the set of Turing degrees that compute an isomorphism between every pair of computable copies of the structure. We will investigate some properties of these spectra and give some examples.
MC 5403
Jacques van Wyk, Department of Pure Mathematics, University of Waterloo
"Can you win at Tetris?"
Changho Han, Department of Pure Mathematics, University of Waterloo
"Derived Categories, de Rham Complex, and baby Riemann-Hilbert"
Continuing from the last time, I will briefly discuss the derived category, then define pushforwards and pullbacks in this derived setting. Then, I will define the de Rham complex, which can be used to compute pushforward. If time remains, then I will explain the (baby version) of the Riemann-Hilbert correspondence.
MC 5403
Talk #1 (1:00pm - 2:30pm)
Michael Albanese, Department of Pure Mathematics, University of Waterloo
"The Schoen-Yau Stable Minimal Hypersurface Technique"
Oscar Patrón Fonseca, University of Waterloo
"On Quasi-nilpotent operators"
It is a well known result that Quasi-nilpotent operators are norm limits of nilpotent operators. We will give a short proof of this fact with the help of one of Voiculescu's theorem on representations of C* algebras.
MC 5479
John Sawatzky, Department of Pure Mathematics, University of Waterloo
"Mind the GAP: Amenability Constants and Arens Regularity of Fourier Algebras"
Christine Eagles, Department of Pure Mathematics, University of Waterloo
"Rings without the Canonical Basis Property"
We will be reading "Rings of finite Morley rank without the CBP" by Loesch and Palacin. This talk will present the background algebra required for the construction.
MC 5479