Elon Lindenstrauss "Arithmetic applications of diagonal flows" I will give an introduction to the dynamics of higher rank diagonal flows on homogeneous spaces, including both the rigidity theorems of such flows and their applications to orbits of arithmetic interest, in particular CM points and integer points on spheres. I hope to cover parts of the following papers: Einsiedler, Manfred ; Lindenstrauss, Elon ; Michel, Philippe ; Venkatesh, Akshay . The distribution of closed geodesics on the modular surface, and Duke's theorem. Enseign. Math. (2) 58 (2012), no. 3-4, 249--313. Einsiedler, M., Lindenstrauss, E., Symmetry of entropy in higher rank diagonalizable actions and measure classification. arXiv e-prints arXiv:1803.07762. Einsiedler, M. & Lindenstrauss, E. .Joinings of higher rank torus actions on homogeneous spaces. Publ.math.IHES (2019). https://doi.org/10.1007/s10240-019-00103-y Khayutin, Ilya . Joint equidistribution of CM points. Ann. of Math. (2) 189 (2019), no. 1, 145--276. Aka, Menny ; Einsiedler, Manfred ; Shapira, Uri . Integer points on spheres and their orthogonal lattices. Invent. Math. 206 (2016), no. 2, 379--396.
Sunday, 27 October, 2019 - 11:00 to 13:00
Repeats every week every Sunday until Sat Feb 01 2020