Here is a summer school on Berkovich spaces

http://www.diffusion.ens.fr/index.php?res=cycles&idcycle=490

(there are more courses at http://www.diffusion.ens.fr/ but unfortunately they are not broken into categories; one has to fish for mathematical courses more or less via manual search)

The following links lead to lectures in Russian.

http://bogomolov-lab.ru/SHKOLA/courses.html

a summer school for undergraduates (topics include number theory, metric geometry, anabelian geometry)

http://www.mathnet.ru/php/presentation.phtml?&option_lang=eng 

has a huge collection of videos, including recordings of summer school courses both for undergraduates and graduates.

http://www.lektorium.tv/ is an example of a similar effort.