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Dynamics on homogeneous spaces and Diophantine approximation
Multi angle
Authors : Ghosh, Anish (Author of the conference)
CIRM (Publisher )
11K60 - Diophantine approximation (probabilistic number theory)
22F30 - Homogeneous spaces
37A17 - Homogeneous flows
CIRM (Publisher )
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Abstract :
I will discuss approaches to several problems concerning values of linear and quadratic forms using the ergodic theory of group actions on the space of unimodular lattices, and more generally, on homogeneous spaces of semisimple Lie groups.
MSC Codes : 11K60 - Diophantine approximation (probabilistic number theory)
22F30 - Homogeneous spaces
37A17 - Homogeneous flows
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/02/17 Conference Date : 07/02/17 Subseries : Research School arXiv category : Number Theory ; Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:06:25 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2017-02-07_Ghosh.mp4 
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Information on the Event
Event Title : Homogeneous spaces, diophantine approximation and stationary measures / Espaces homogenes. Approximation diophantienne. Mesures stationnairesEvent Organizers : Adamczewski, Boris ; Athreya, Jayadev ; Mercat, Paul ; Palesi, Frédéric Dates : 06/02/17 - 10/02/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1712.html
Citation Data
DOI : 10.24350/CIRM.V.19118703Cite this video as: Ghosh, Anish (2017). Dynamics on homogeneous spaces and Diophantine approximation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19118703 URI : http://dx.doi.org/10.24350/CIRM.V.19118703 |
See Also
- [Multi angle] Counting and equidistribution of integral representations by quadratic norm forms in positive characteristic? / Author of the conference Paulin, Frédéric.
- [Multi angle] Shrinking targets on homogeneous spaces and improving Dirichlet's Theorem / Author of the conference Kleinbock, Dmitry.
- [Multi angle] Dynamics on quotients of SL(2,C) by discrete subgroups - Lecture 2 / Author of the conference Schapira, Barbara.
- [Post-edited] Dense subgroups in simple groups - Lecture 2 / Author of the conference Benoist, Yves.
Bibliography
- Ghosh, A. (2016). Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces.
