Posted in
Speaker:
Mustafa Korkmaz
Affiliation:
METU, Ankara/MPI
Date:
Mon, 02/05/2011 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Topics in Topology The action of the mapping class group of a compact orientable surface of genus g on the first
homology group of the surface gives the classical symplectic representation of dimension 2g.
Recently, John Franks and Michael Handel proved that complex representations of dimension
$n \leq 2g-4$ of the mapping class groups are trivial. In this talk, I will show that all representations
of dimension $n \leq 2g-1$ are trivial, improving the result of Franks and Handel. I will also discuss t
he analogous problem for mapping class groups of nonorientable surfaces.
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