BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:7639@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20170206T000000 DTEND;TZID=Europe/Paris:20170210T000000 DTSTAMP:20241216T085004Z URL:https://www.i2m.univ-amu.fr/evenements/homogeneous-spaces-diophantine- approximation-and-stationary-measures-thematic-month-2017/ SUMMARY:School (CIRM\, Luminy\, Marseille): Homogeneous Spaces\, Diophantin e Approximation and Stationary Measures (Thematic Month 2017) DESCRIPTION:School: \n\n\n\n\n\n\n\n\n\n\n\n\n Schedule \n\n\n\n\n\n Partic ipants \n\n\n\n\n\n Sponsors \n\n\n\n\n\n Abstracts \n\n\n\n\n\n Videos \ n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nRESEARCH SCHOOL\n\nHomoge neous Spaces\, Diophantine Approximation and Stationary Measures (CNRS The matic School)\nFebruary 6 - 10\, 2017\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nH omogeneous dynamics is the study of asymptotic properties of actions of su bgroups of Lie groups on associated homogeneous spaces\, including many ge ometric examples such as Anosov diffeomorphisms of the torus or geodesic f lows on negatively curved manifolds. The theory has also deep connections with number theory and diophantine approximations\, as shown by Margulis' proof of Oppenheim conjecture and\, more recently\, the work of Einsiedler \, Katok and Lindenstrauss on Littlewood conjecture.\n\nThis workshop will bring together researchers in the domain of homogeneous dynamics and its applications to arithmetic\, and will feature the latest developments in t he area as well as some mini-courses by some leading experts.\n\n\n\n\n\nS cientific Committee &\; Organizing Committee\n\nBoris Adamczewski (Aix- Marseille Université)\nJayadev Athreya (Washington University\, Seattle)\ nPaul Mercat (Aix-Marseille Université)\nFrédéric Palesi (Aix-Marsei lle Université)\n\n\n\n\n\n\n\n\n\n"We the organizers of this conference affirm that scientific events must be open to everyone\, regardless of rac e\, sex\, religion\, national origin\, sexual orientation\, gender identit y\, disability\, age\, pregnancy\, immigration status\, or any other aspec t of identity. We believe that such events must be supportive\, inclusive\ , and safe environments for all participants. We believe that all particip ants are to be treated with dignity and respect. Discrimination and harass ment cannot be tolerated. We are committed to ensuring that the conference  "Homogeneous Spaces\, Diophantine Approximation and Stationary Measures. " follows these principles. For more information on the Statement of Inc lusiveness\, see this dedicated web page http://www.math.toronto.edu/~raf i/statement/index.html."\n\n\n\n\n\n\n\n\n\n\nMini-Courses\n\n Yves Benoi st (Université Paris-Sud)\n\nDense subgroups in simple groups\nIn this se ries of lectures\, we will focus on simple Lie groups\, their dense subgro ups and the convolution powers of their measures. In particular\, we will dicuss the following two questions.\nLet G be a Lie group. Is every Borel measurable subgroup of G with maximal Hausdorff dimension equal to the gro up G?\nIs the convolution of sufficiently many compactly supported continu ous functions on G always continuously differentiable?\nEven though the an swer to these questions is no when G is abelian\, the answer is yes when G is simple. This is a joint work with N. de Saxce. First\, I will explain the history of these two questions and their interaction. Then\, I will re late these questions to spectral gap properties. Finally\, I will discuss these spectral gap properties."\n\n Anish Ghosh ( TIFR Mumbai)\n\nDynamic s on homogeneous spaces and Diophantine approximation.\nI will discuss app roaches to several problems concerning values of linear and quadratic form s using the ergodic theory of group actions on the space of unimodular lat tices\, and more generally\, on homogeneous spaces of semisimple Lie group s.\n\n François Maucourant (Université Rennes 1) &\; Barbara Schapir a (Université Rennes 1)\n\nDynamics on quotients of SL(2\,C) by discrete subgroups.\nWe will discuss old and recent results on topological and meas urable dynamics of diagonal and unipotent flows on frame bundles and unit tangent bundles over hyperbolic manifolds. The first lectures will be a go od introduction to the subject for young researchers.\n\n\n\n\n\n\nSpeaker s\n\n \;\n\n Jayadev Athreya (University of Washington)\n\nVariance estimates on spaces of lattices​\n\n Yann Bugeaud (Université de Stra sbourg)\n\nExponents of Diophantine approximation\n\n Nicolas De Saxcé  (Université Paris-Nord 13)\n\nApproximation diophantienne sur les variét és\n\n Dmitri Kleinbock (Brandeis University)\n\nShrinking targets on h omogeneous spaces and improving Dirichlet's Theorem\n\n Frédéric Paulin  (Université Paris-Sud)\n\nCounting and equidistribution of integral rep resentations by quadratic norm forms in positive characteristic​\n\n An ke Pohl (University of Jena)\n\nDynamical approaches to automorphic funct ions and resonances\, and\nreduction theories for indefinite quadratic for ms\n\n Uri Shapira (Technion\, Israel Institute of Technology)\n\nGenera lizing Benoist-Quint to homogeneous spaces of non-lattice type\n\n Barak Weiss (Tel Aviv University)\n\nRandom walks on homogeneous spaces and dio phantine approximation on fractals\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n \n \n\n\n\nTRUSTEES \n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n \n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n CATEGORIES:École ou Master class,Mois thématique END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:STANDARD DTSTART:20161030T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET END:STANDARD END:VTIMEZONE END:VCALENDAR