Events

Patrick Ingram, University of Colorado

"The arithmetic of postcritically finite maps"

Arithmetic dynamics is the study of the overlap between arithmetic geometry and dynamical systems. One should hope, however, that the tools developed would prove useful in the union of these two subjects, rather than just their intersection.

Lorenzo Foscolo, Stony Brook University

"Moduli spaces of monopoles and gravitational instantons"

 It is well-known that moduli spaces of anti-self-dual (ASD) connections on hyperkähler 4–manifolds are themselves hyperkähler. Using argument from physics, Cherkis and Kapustin suggested that “moduli spaces of solutions to dimensional reductions of the ASD equations are a natural place to look for gravitational instantons”, i.e.

Nicola Watson, University of Toronto

"Classification, Covering Dimension and Lifting Properties"

Whilst classification results may not, on the surface, appear too
interesting, the classification program for nuclear C*-algebras has
raised numerous thought-provoking questions and led to the development of many useful, structural tools that have applications outside of the
program. In this talk, we shall discuss why this is, and give a number of

Matthew Kennedy, Carleton University

"Operator algebras and analytic group theory"

It has been known since the work of von Neumann that many questions about the analytic properties of groups are most naturally studied within an operator-algebraic framework.

Jon Herman, Pure Mathematics, University of Waterloo

Phillip Xiao, Department of Pure Mathematics, University of Waterloo

David Savitt, University of Arizona

"Galois Representations"

The absolute Galois group of the field of rational numbers is a fundamental object of study in number theory. I will begin by giving a tour of the representation theory of this group, with an emphasis on representations in characteristic p.