Talk #1 (1:00-2:15pm)
Caleb Suan, University of British Columbia
"Conifold Transitions, Balanced Metrics, and Stability"
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
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
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
Leo Jimenez, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We continue to read Ben Castle’s paper.
MC 5479
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
Talk #1 (1:00pm - 2:15pm)
Jacques van Wyk, Department of Pure Mathematics, University of Waterloo
"Fundamentals of Elliptic Partial Differential Operators"
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
Marcelo Laca, University of Victoria
"On the Matter of Numbers"
Erik Seguin, Department of Pure Mathematics, University of Waterloo
"Haagerup's noncommutative Grothendieck inequality (cont. cont. cont.)"
We will continue^3 to prove things related to and on the subject of the NCG theorem. Possibly we will finish the proof of the theorem this week, and possibly not; we conjecture that no third option exists, but we are unable to prove this claim at present. Time permitting, we may attempt to prove this rigorously; this attempt is unlikely to be successful, veracity of the claim notwithstanding.