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The main goal is to establish finiteness properties (finite generation, finte presentability, etc.) of arithmetic groups in positive characteristic, e.g., $SL_N(\mathbf{F}_q[t; t^{-1}])$. In particular, one aim is a proof of the {\em Rank Conjecture} which would give the exact finiteness length for reductive groups. Another point on the agenda is the question whether $SL_2(\mathbf{Z}[t; t^{-1}])$ is finitely generated. Finally the finiteness properties of Torelli subgroups (a) in Out($F_{N}$) and (b) in mappingclass groups of closed oriented surfaces are to be determined.
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May 21, 2013 16:15 U2-135 |
!!! CANCELLED !!! Endlichkeitseigenschaften arithmetischer Gruppen über Funktionenkörpern (Teil 2) Kai-Uwe Bux |
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May 22, 2013 14:15 T2-228 |
Classifying spaces and cohomology rings for Thompson's groups F and braided F Matthew Zaremsky |
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May 23, 2013 12:15 V4-116 |
Ping-pong on a euclidean building Stefan Witzel |
