Hebrew University
 
Amitsur Algebra Seminar
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Time: Thursday, February 2, 12:00-13:15
 
Place: math 209
 
Speaker: Menny Aka (HUJI)
 
Title: Arithmetic groups with isomorphic finite quotients
 
Abstract:
 
Two finitely generated groups have the same set of finite quotients if
and only if their profinite completions are isomorphic. Consider the
map which sends (the isomorphism class of) an S-arithmetic group to
(the isomorphism class of) its profinite completion. We show that for
a wide class of S-arithmetic groups, this map is finite to one, while
the the fibers are of unbounded size.
In the talk I will concentrate on giving interesting families of
non-isomorphic arithmetic groups which are profinitely isomorphic and
explain how they fit in the scheme of my proof.
 
You are cordially invited!
 
 <http://math.huji.ac.il/amitsur.html>
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Gili Schul   <gili.schul@mail.huji.ac.il>