Dynamics, Ratner’s theorems, Rigidity

Gorodnik’s lecture notes on Dynamical systems in Number theory:
https://www.math.uzh.ch/gorodnik/dyn_num/index.html

Dave Morris- Ratner’s Book: http://people.uleth.ca/~dave.morris/books/Ratner.pdf

Lindenstrauss- Dynamics and Number Theory: http://www.ma.huji.ac.il/~elon/Publications/ICM2010.pdf

Akshay Venkatesh- Littlewood Conjecture
https://www.math.ias.edu/~akshay/research/eklexp.pdf

Dmitry Kleinbock- Application of Homogenous dynamics
https://arxiv.org/pdf/math/0210301.pdf

ADDED LATER:

MSRI Workshop https://www.msri.org/workshops/742/schedules/19308

Dave Morris Slides https://docs.google.com/viewer?url=https://www.msri.org/workshops/742/schedules/19303/documents/2445/assets/23238