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SUMMARY:"Lattice actions on manifolds and recent progress  in the Zimmer p
 rogram"
DTSTART:20170228T111500
DTEND:20170228T121500
DTSTAMP:20260928T222640Z
UID:14c614aa26606c11dc05aaea3115388b79d83c697042c34eed1f13ce
CATEGORIES:Conferences - Seminars
DESCRIPTION:L. E. Dickson Instructor Dr. Aaron Brown (University of Chicag
 o) \nThe Zimmer Program is a collection of conjectures and questions regar
 ding actions of lattices in higher-rank simple Lie groups on compact manif
 olds.  For instance\, it is conjectured that all non-trivial volume-prese
 rving actions are built from algebraic examples using standard constructio
 ns.  In particular\, on manifolds whose dimension is below the dimension 
 of all algebraic examples\, Zimmer’s conjecture asserts that every actio
 n is finite.  \n\nI will present some background and motivation and then 
 explain two of my own results within the Zimmer program:\n(1) a solution t
 o Zimmer’s conjecture for actions of cocompact lattices in SL(n\,R)\, n>
 =3 (joint with D. Fisher and S. Hurtado)\;\n(2) a classification (up to to
 pological semiconjugacy) of lattice actions on tori whose induced action o
 n homology satisfies certain criteria (joint with F. Rodriguez Hertz and Z
 . Wang).  
LOCATION:CIB - BI A0 448 http://plan.epfl.ch/?room=BIA0448
STATUS:CONFIRMED
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