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Learning seminar on Finite Relational Structures
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.
PhD thesis defense seminar
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
Number Theory seminar
Michael Filaseta, University of South Carolina
“49598666989151226098104244512918”
Pure Math colloquium
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.
PhD thesis defense seminar
Digraph Algebras over Discrete Pre-ordered Groups
Kai-Cheong Chan
PhD thesis defense seminar
The Cohomology Ring of a Finite Abelian Group
Collin Roberts
PhD thesis defense seminar
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.
Model Theory seminar
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.