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Alex Lubotzky: Arithmetic quotients of automorphism groups

Alex Lubotzky, The Hebrew University of Jerusalem

Time: Tue 2012-04-03 14.00 - 15.00

Location: Institut Mittag Leffler, Auravägen 17, Djursholm

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Let F be a free group on n generators and A=Aut(F) its automorphism group. It is well known and easy to see that A is mapped onto the arithmetic group GL(n,Z). We will present a joint work with Fritz Gruenwald in which we produced many more arithmetic quotients of A. We will give some applications (joint work with Chen Meiri) and describe possible extensions when A is replaced by the mapping class group.