Events - December 2012

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
partial solutions to this problem were found in the late 19th century and early 20th century.

Sebastien Guex, University of Alberta

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