Events

Eric Harper, McMaster University

Akbulut corks and non-trivial involutions on instanton Floer homology”

Ross Willard, Department of Pure Mathematics, University of Waterloo

"Taylor's lemma"

Hanfeng Li, The State University of New York, Buffalo

Entropy and L2-torsion”

Eric Katz, C & O Department, University of Waterloo

"Tropicalization and Combinatorial Abstraction"

Given a mathematical object, one may associate a combinatorial object that captures some of its properties. Natural examples would be matroids as combinatorial abstractions of linear subspaces and Newton polytopes as combinatorial abstractions of hypersurfaces. Then one has a class of combinatorial objects that behave somewhat like the original mathematical objects.

Robert Young, University of Toronto

“Lipschitz spheres in the Heisenberg groups”

The (2n + 1)-dimensional Heisenberg group Hn has an invariant sub-Riemannian metric related to the standard contact structure on R2n+1, and Lipschitz maps to the Heisenberg group are closely connected to Legendrian submanifolds of R2n+1.

Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo

"Keeping it Simplicial"

The aim of this talk is to build up as much intuition as time allows about all things simplicial.  This includes n-simplices, simplicial complexes and their polytopes, abstract simplicial complexes and the geometric realisation of such abstract objects.

Martino Lupini, York University

“The complexity of the relation of unitary equivalence for automorphisms of separable unital C*-algebras”

A classical result of Glimm from 1961 asserts that the irreducible
representations of a given separable C*-algebra A are classifiable by real
numbers up to unitary equivalence if and only if A is type I. In 2008,
Kerr-Li-Pichot and, independently, Farah proved that when A is not type I,

Yen-Liang Kuan, Department of Mathematics, University of Waterloo

"On the distribution of torsion points modulo primes"

Let A be a commutative algebraic group dened over a number field K. For a prime } in K where A has good reduction, let N};n be the number of n-torsion F}-rational points of the reduction of A modulo } where F} is the residue field of } and n is a positive integer. When A is of dimension one

Berndt Brenken University of Calgary

“Universal C*-algebras of *-semigroups and the C*-algebra of a partial isometry”

Certain universal C*-algebras for *-semigroups will be introduced. Examples occur in describing the C*-algebra of a partial isometry, which is a Cuntz-Pimsner C*-algebra associated with a C*-correspondence; this can be viewed as a form of crossed product C*-algebra for an action by a completely positive map.

Janusz Adamus University of Western Ontario

“Towards singular CR geometry - tameness of complex dimensions in semianalytic sets.”

Given a subset R of a complex manifold, one can ask how much of the complex structure is inherited (locally) by R? This can be measured in many different ways. We will consider two such measures - the inner and outer complex dimensions of R at a point - and discuss how they relate to the classical CR geometry.