This is a course which combines lectures/individual work and presentations, and covers several topics exploring various connections between cohomology and the theory of dynamical systems.

Some of the topics may be: Concept of cohomology over a dynamical system, classification of Lie group extensions of Anosov systems via group valued cohomology, classification of time changes via real valued cohomology, Schrödinger cocycle and applications, cohomological stability for some homogeneous actions, the rigidity conjecture of Greenfield and Wallach, derivative cocycle and matrix cocycles over Anosov and partially hyperbolic systems.

Structure of the course: we will be meeting on Mondays from 11-12:30 in 3721 (Lindstedtsvägen 25).

Grades: The grades for registered students will be pass/fail. In order to pass, the students need to participate in all the meetings, present their work and prepare answers to at least 3 questions from at least 3 presented topics. These will be discussed in the last meeting.

The first meeting is on Monday Feb 3rd at 11-12:30 in 3721 (Lindstedtsvägen 25).

Note: no lecture on Feb 24 and March 3

Detailed schedule of meetings and topics will be posted here

First lecture will be given by me (Danijela Damjanovic, ddam@kth.se) and next few lectures will be given by Minsung Kim (minsung@kth.se). All the subsequent meetings will be dedicated to presentations given by participants on the topic of their choice from the list of topics which will be posted at the page:

Literature and a list of topics for presentations

You may also discuss with me suggesting other related topics if you wish, which are not on the list above. Each participant should make a choice of the topic to present no later than the end of February, and notify me of the choice they made. Together with the presentation, each participant should submit a list of 3-10 questions/exercises related to the topic. Other participants should choose 3 questions/exercises from 3 different presented topics and prepare to discuss them during the last meeting. The last meeting will be dedicated to the discussion of the questions/exercises.