l^p-cohomology has found applications in diverse areas of mathematics such as the geometry of negatively curved manifolds, analysis on metric spaces, and geometric group theory. This course will give a gentle introduction to this subject. No prior knowledge of any homology or cohomology theory is expected from the participants. Basic concepts and ideas related to this will be reviewed before introducing l^p-cohomology and establishing its most important properties. Later in the course I will discuss applications of l^p-cohomology and some open problems.

Period
11-08-2014 - 15-08-2014 (1 weeks)

Target group
The course is aimed at graduate students, but strong advanced undergraduate students with the appropriate background might find it suitable. Basic knowledge on metric geometry will be useful.

Course aim
The most important aims of the Summer School are to develop post-graduates scientific readiness and to offer students the possibility to study in a modern, scientific environment and to create connections to the international science community.



Credits
2.0 ECTS creditsObligatory attendance at lectures, and completing the exercises.Grading: Pass/fail

Course fee
EUR 0[Convert to USD]Participating the Summer School is free of charge, but student have to cover the costs of own travel, accommodation and meals at Jyvskyl.

Course leader
Coordinator: Dr. Pekka Pankka (University of Jyvskyl, finland)Lecturer: Prof. Mario Bonk (University of California, Department of Mathematics, United States)

Scholarships
The 24th Jyvskyl Summer School is not able to grant any Summer School students financial support. In order to ensure your participation, we recommend that you take steps to secure your own funding, for example, by turning first to your home institution

University of Jyvaskyla Faculty of Mathematics and Science and Faculty of Information Technology
Address: Jyvaskyla Summer School, Faculty of Mathematics and Science P.O.Box 35 (YK312), FIN-40014 University of Jyvaskyla, Finland
Postal code: FIN-40014
City: Jyvaskyla
Country: Finland
Website: http://www.jyu.fi/summerschool
E-mail: jss@jyu.fi
Phone: +358505818351