For more information about this meeting, contact Becky Halpenny.
| Title: | "Local Rigidity of Algebraic Higher-Rank Abelian Group Actions" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Kurt Vinhage, Adviser: Anatole Katok, Penn State |
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| Abstract: |
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| Structural Stability of Anosov diffeomorphisms is a prized result in
dynamical systems, and the stability of orbits in the flow case is the
best that can be hoped for. Remarkably, in the case of higher-rank
abelian group actions, one can expect something much stronger: First,
the Anosov condition can be reduced to partial hyperbolicity. Second,
orbit equivalence can be replaced by smooth conjugacy. A technique using
algebraic K-theory was first introduced by Katok and Damjanovic to prove
this in the case of Weyl Chamber flows in SL(n,R) and SL(n,C). Similar
results will be presented in the case of quaternionic groups, and the
scheme for completing the program for all simple noncompact Lie groups
will be outlined. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 04 / 25 / 2013 |
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| Time: | 01:00pm - 03:00pm |
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