Difference between revisions of "Applied/GPS"

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!align="left" | host(s)
 
!align="left" | host(s)
 
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|Sep 9
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|Sept 9
|[http://www.math.ethz.ch/~einsiedl Manfred Einsiedler] (ETH-Zurich)
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|[http://www.math.ethz.ch/~einsiedl First Speaker] (ETH-Zurich)
|''Periodic orbits on homogeneous spaces''
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|''A bunch of applied stuff''
 
|Fish
 
|Fish
 
|}
 
|}
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== Abstracts ==
 
== Abstracts ==
  
===Fri, Sept 9: Manfred Einsiedler (ETH-Zurich)===
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===Fri, Sept 9: First Speaker (ETH-Zurich)===
''Periodic orbits on homogeneous spaces''
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''A bunch of applied stuff''
  
We call an orbit xH of a subgroup H<G on a quotient space Gamma \ G
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Here is an abstract.
periodic if it has finite H-invariant volume. These orbits have
 
intimate connections to a variety of number theoretic problems, e.g.
 
both integer quadratic forms and number fields give rise periodic
 
orbits and these periodic orbits then relate to local-global problems
 
for the quadratic forms or to special values of L-functions.  We will
 
discuss whether a sequence of periodic orbits equidistribute in Gamma
 
\ G assuming the orbits become more complicated (which can be measured
 
by a discriminant). If H is a diagonal subgroup (also called torus or
 
Cartan subgroup), this is not always the case but can be true with a
 
bit more averaging. As a theorem of Mozes and Shah show the case where
 
H is generated by unipotents is well understand and is closely related
 
to the work of M. Ratner. We then ask about the rate of approximation,
 
where the situation is much more complex. The talk is based on several
 
papers which are  joint work with E.Lindenstrauss, Ph. Michel, and A.
 
Venkatesh resp. with G. Margulis and A. Venkatesh.
 

Revision as of 07:54, 2 September 2011


GPS Applied Mathematics Seminar

The GPS is a weekly seminar by and for graduate students. If you're interested in presenting your work, contact the organizers, Qin Li and Sarah Tumasz.

All seminars are on XXX at X:XX pm in Van Vleck XXX, unless otherwise indicated.

Fall 2011

date speaker title host(s)
Sept 9 First Speaker (ETH-Zurich) A bunch of applied stuff Fish

Abstracts

Fri, Sept 9: First Speaker (ETH-Zurich)

A bunch of applied stuff

Here is an abstract.