Events

Sebastien Guex, University of Alberta

“Ergodic theorems for certain Banach algebras associated to locally compact groups.”

Since 1964 and the pioneering work of P. Eymard, the Fourier algebra of a locally compact group has been studied under many aspects, and provide a natural framework for the extension of many classical results in commutative harmonic analysis to the non-commutative case. Later on, A. Figa-Talamanca and C. S.

Ross Willard, Department of Pure Mathematics University of Waterloo

“Applications of Larose’s Theorem”

I will define a slick method to compute the homotopy groups of a finite reflexive digraph and then use the method to show that a motley collection of such digraphs have a nontrivial homotopy group. (Hence by Larose’s Theorem, they do not support Taylor operations.)

Please note date and time.

Timothy Caley, Pure Mathematics, University of Waterloo

"The Prouhet-Tarry-Escott problem"

Given natural numbers $n$ and $k$, with $n>k$, the Prouhet-Tarry-Escott (\textsc{pte}) problem asks for distinct subsets of $\mathbb{Z}$, say $X=\{x_1,\ldots,x_n\}$ and $Y=\{y_1,\ldots,y_n\}$, such that
\[x_1^i+\ldots+x_n^i=y_1^i+\ldots+y_n^i\] for $i=1,\ldots,k$. Many

Michael Filaseta, University of South Carolina

“49598666989151226098104244512918”

Thierry Giordano, University of Ottawa

"Topological orbit equivalence: an overview!"

In 1959, H. Dye introduced the notion of orbit equivalence and proved that any two ergodic finite measure preserving transformations on a Lebesgue space are orbit equivalent. He also conjectured that an arbitrary action of a discrete amenable group is orbit equivalent to a Z-action.

Digraph Algebras over Discrete Pre-ordered Groups

Kai-Cheong Chan

The Cohomology Ring of a Finite Abelian Group

Collin Roberts

Elcim Elgun, Department of Pure Mathematics

"The Eberlein Compactification of Locally Compact Groups"

Given a locally compact group G, the Eberlein compactification Ge is the spectrum of the uniform closure of the Fourier-Stieltjes algebra B(G). It is a semitopological compactification and thus a quotient of the weakly almost periodic compactification Gw. In this talk we aim to study the structure and complexity of Ge.

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"NIP Theories"

We will be reading Pierre Simon's lecture notes on NIP theories this semester. NIP stands for "not independence property", and was introduced by Shelah in the nineteen seventies in his work on classification theory.

Shintaro Kuroki, OCAMI and Visiting Professor at University of Toronto

Root systems of torus graphs and extended actions of torus manifolds

A torus manifold is a compact oriented 2n-dimensional Tn-manifold with fixed points. We can define a labelled graph from given torus manifold as follows: vertices are fixed points; edges are invariant 2-spheres; edges are labelled by tangential representations around fixed points.