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比利时vs摩洛哥足彩 ,
university of california san diego

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food for thought seminar

johanna hennig

ucsd

higher dimensional thompson groups

abstract:

the groups $f \leq t \leq v$ were defined by richard thompson in 1965 and used to construct finitely presented groups with unsolvable word problems. $t$ and $v$ were also the first examples of infinite, finitely presented simple groups. since then, these groups have been studied extensively using a rich interplay of algebraic, topological, and dynamical approaches. i will discuss recent work regarding the higher dimensional analogues of thompson groups, $nv$, including the fact that $mv$ is not isomorphic to $nv$ for $n \neq m$, and that for every $n$ the group $nv$ is finitely presented and simple. the only background required for this talk is basic group theory.

march 3, 2011

10:00 am

ap&m 7321

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