[iasmath-semru] Reminder for today's Members' Seminar

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Members' Seminar

Monday, December 3

 

To view mathematics in titles and abstracts, please click on the talk's
link.

 

 

Topic:                    Recent Progress on Zimmer's Conjecture

Speaker:              David Fisher, Indiana University, Bloomington; Member,
School of Mathematics

Time/Room:       2:00pm - 3:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=129395>
http://www.math.ias.edu/seminars/abstract?event=129395

 

Lattices in higher rank simple Lie groups are known to be extremely rigid.
Examples of this are Margulis' superrigidity theorem, which shows they have
very few linear represenations, and Margulis' arithmeticity theorem, which
shows they are all constructed via number theory. Motivated by these and
other results, in 1983 Zimmer made a number of conjectures about actions of
these groups on compact manifolds and in a recent breakthrough with Brown
and Hurtado we have proven many of them. The talk will begin with a
statement of a special case of our results that requires no background. I
will then provide history, context and motivation. Towards the end, I will
give some indication of the proof with emphasis on surprising connections to
other areas of mathematics that arise. 

 

 

http://www.math.ias.edu/seminars

 

 

 

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