Some random special courses and lectures that I listened to. The notes are mostly in Russian.

Unsorted

• Nikolai Vavilov's Lectures on root systems (rar).
• Nikolai Vavilov, Structure of Chevalley groups over commutative rings (djvu).

Spring 2016

• Non-commutative and derived algebraic geometry: a mini-course by Dmitry Orlov (pdf).

Spring 2015

• Calculus of root elements for isotropic reductive groups: a mini-course by Anastasiya Stavrova (pdf).

Fall 2014

• The category of Voevodsky's motives: a special course by Ivan Panin.

Spring 2014

• The Merkurjev–Suslin theorem: a special course by Ivan Panin.

Fall 2013

• Higher K-Theory: a special course by Ivan Panin.
• Arithmetics of algebraic varieties: a special course by Alexander Smirnov.

Spring 2013

• Model categories: a mini-course by Sergey Yagunov.
• Elliptic curves, elliptic functions, and modular forms: a mini-course by Sergey Yagunov.

Fall 2012

• 20.09.2012: Alexey Ananyevskiy's talk at the conference Algebraic groups and related structures (pdf).
• Towards A¹-homotopy theory of Voevodsky and Morel: a special course by Ivan Panin.
• Voevodsky motives and weights for them: a special course by Mikhail Bondarko.

Spring 2012

• Algebraic groups over arbitrary fields and Chow–Grothendieck motives: a special course by Victor Petrov; see also the corresponding seminar.