Events

Ricardo Mendes, Notre Dame

“Invariant tensors on G-manifolds with orbifold quotients”

We consider Riemannian manifolds M with an isometric action by a Lie group G, for which the orbit space M/G is isometric to an orbifold. We compare G-invariant tensors on M with tensors on the orbifold M/G. The main ingredient is an algebraic result from the theory of symmetric spaces.

Special date, time and place.

Pantelis Eleftheriou, Department of Pure Mathematics, University of Waterloo

“NIP Theories Vi”

We continue on products and Morley sequences of invariant types.

Jason Bell, Department of Pure Mathematics University of Waterloo

“Gromov’s Theorem: Part III”

We continue our look at the theorem of Milnor and Wolf and will prove that a finitely generated solvable group of subexponential growth is nilpotent-by-finite. We will also look at solvable-by-finite groups.

Lara Anderson, Harvard University, Department of Physics

“Vector bundle deformations and the moduli of heterotic string theory”

I will discuss recent work on the supersymmetric moduli space of Calabi-Yau compactifications of Heterotic string theory.

Raphael Clouatre, Indiana University

“The unilateral shift as a Hilbert module over the disc algebra”

We study the unilateral shift (of arbitrary countable multiplicity) as a Hilbert module over the disc algebra and the associated extension groups. In relation with the problem of determining whether this module is projective, we consider a special class of extensions, which we call ”polynomial”.

Pantelis Eleftheriou, Department of Pure Mathematics, University of Waterloo

“NIP Theories VIII”

We will finish the proof of Theorem 2.33 and discuss some of its consequences and examples. Time permitting, we will introduce measures (from Chapter 7), which are generalizations of types, and discuss how the existent notions and theorems we saw for types can be generalized to measures.

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov’s Theorem: Part IV”

This week we continue our look at solvable groups of subexponential growth. In particular, we will continue to look at the Milnor-Wolf theorem and the fact that an extension of two solvable-by-finite groups is again solvable-by-finite.

Chris Ramsey, Department of Pure Mathematics, University of Waterloo

"Triangular operator algebras"

Triangular uniformly hyper-finite algebras are direct limits of triangular matrix algebras. I will talk about their isometric automorphism groups and dilation theory. In particular, we know what is the C*-envelope of the semidirect product of one of these algebras by an automorphism.

Please note: special time

Max Lipyanskiy, Columbia University

“Uhlenbeck-Gromov Compactness and the Atiyah-Floer Conjecture”

We will describe an analytic framework that unites the analysis of the ASD equation with that of holomorphic curves. As an application, we will describe our approach to a version of the Atiyah-Floer conjecture relating the Floer homology groups of 3-manifolds defined by gauge theory to the groups defined by symplectic geometry.