Events - December 2012

Tuesday, December 18, 2012 — 10:00 AM EST

Michael Filaseta, University of South Carolina

“49598666989151226098104244512918”


Monday, December 17, 2012 — 10:00 AM EST

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.

Friday, December 7, 2012 — 3:00 PM EST

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.

Friday, December 7, 2012 — 2:00 PM EST

Sebastien Guex, University of Alberta

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

Monday, December 3, 2012 — 4:00 PM EST

Malabika Pramanik, University of British Columbia

"Needles, bushes, hairbrushes and polynomials"

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