For more information about this meeting, contact Mari Royer, Yakov Pesin, Dmitri Burago, Anatole Katok.
| Title: | Effective results on actions of commuting toral automorphisms |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Zhiren Wang, Princeton |
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| Abstract: |
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| Let $G$ be an abelian subgroup of $SL(d,Z)$. When $G$ acts totally irreducibly on $T^d$, has some hyperbolicity and is not virtually-cyclic, Berend proved that every orbit on $T^d$ is either the whole torus or finite. We will discuss effective forms of this theorem and how they are related to number-theoretical problems. This is an analogue of the recent quantitative Furstenberg's theorem concerning the $\times 2$, $\times 3$ action on the circle by Bourgain-Lindenstrauss-Michel-Venkatesh. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 16 / 2009 |
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| Time: | 03:30pm - 05:30pm |
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