Please register on Muesli in order to obtain mails concerning the seminar.
Thursdays, 9-11am, SR 4
Tuesday, 05.02.19, 8.15 - 9.25 am, Conference room, 5th floor
In 1984 William Goldman showed that the variety of representations of the fundamental group of a topological surface into any reductive Lie group carries a natural symplectic structure on its smooth part.
In this seminar we want to discuss first the construction of this symplectic structure both from the perspective in Goldman's paper as well as via symplectic reduction as described by Jeffrey and Weitsman. Then we will further explore the symplectic geometry and symplectic dynamics of representation varieties.
|24.10.2018||Arnaud||Goldman  - The definition of the 2-form|
|08.11.2018||Lukas||Symplectic reduction I|
|15.11.2018||Lukas||Symplectic reduction I - continued|
|22.11.2018||Arnaud||Goldman  - closedness|
|29.11.2018||Arnaud||Goldman  - continued|
|06.12.2018||Johannes||Symplectic reduction II|
|13.12.2018||Milan||Delzant's Garden - A classification of symplectic toric manifolds|
|20.12.2018||Milan||Delzant's Garden - continued|
|10.01.2019||Andy||Poisson geometry of relative character varieties and compact components for SL(2,R) |
|17.01.2019||Andy||Poisson geometry of relative character varieties and compact components for SL(2,R) - continued |
|24.01.2019||Mareike||Goldman  - invariant functions|
|31.01.2019||Mareike||Goldman  - invariant functions - continued|
|05.02.2019||Mareike||Goldman  - Hamiltonian flows|