Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Daniel El-Baz
Affiliation:

Tel Aviv University/MPIM
Date:

Fri, 2018-09-21 11:15 - 12:15 This talk will be an introduction to homogeneous dynamics (more specifically Ratner's orbit classification theorem)

and some of its recent applications to number theory, such as:

(1) Oppenheim's conjecture for quadratic forms,

(2) subconvexity for L-functions by Michel and Venkatesh,

(3) gaps between fractional parts of square roots of positive integers by Elkies and McMullen.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/7671