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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

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

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

"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

John Sawatzky, Department of Pure Mathematics, University of Waterloo

"Arens Regularity of Ideals in $A(G), A_{cb}(G)$,  and $A_M(G)$"

John Sawatzky, Department of Pure Mathematics, University of Waterloo

"Amenability constant gaps for central Fourier algebras"

Joey Lakerdas-Gayle, Department of Pure Mathematics, University of Waterloo

"Degree spectra of computable structures - Part I"

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