Events

Changho Han, Department of Pure Mathematics, University of Waterloo

"Inverse and Direct Images of D-modules"

In this talk, I will pick up from the last time and define the general definition of the Inverse Image of D-modules, and then provide examples for closed immersions and smooth morphisms. If time remains, then I will give a "naive" definition of the direct image of D-modules, with an example of closed embedding.

MC 5403

Talk #1 (1:00-2:15pm)

Caleb Suan, University of British Columbia

"Conifold Transitions, Balanced Metrics, and Stability"

Larissa Kroell, Department of Pure Mathematics, University of Waterloo

"Boundaries and C*-simplicity of discrete groups and (maybe) more"

We are going to discuss the connection between the action of a discrete group on its Furstenberg boundary and C*-simplicity. To do so we will be looking at the papers by Kalantar & Kennedy (Boundaries of reduced C*-algebras of discrete groups) and Breuillard et al (C*-simplicity and the unique trace property for discrete groups).

MC 5479

John Sawatzky, Department of Pure Mathematics, University of Waterloo

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

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Canonical Basis Property"

We will be reading "Rings of finite Morley rank without the CBP" by Loesch and Palacin. This talk will be an introduction to the subject.

MC 5479

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

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