Yash Singh, Department of Pure Mathematics, University of Waterloo
"Sheaves of Modules on Schemes"
We introduce sheaves of modules associated to schemes and in particular study the theory of coherent sheaves, quasi-coherent sheaves, and vector bundles.
MC 5403
Andy Zucker, Department of Pure Mathematics, University of Waterloo
"Reverse Math VIII"
We continue our discussion of the reverse math theoretic aspects of Devlin's theorem.
MC 5403
Marcelo Laca, University of Victoria
"On the Matter of Numbers"
John Sawatzky, Department of Pure Mathematics, University of Waterloo
"Amenability constant gaps for central Fourier algebras"
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