Organiser: Lars Andersson
The seminar will be held in a research seminar style. It deals with topics related to gravitation and geometry, including the following:
- Gravitational Instantons --- four-dimensional, complete, Ricci flat
manifolds with at least quadratic curvature decay. There are several
families of instantons, which all have special geometry. Solution
generating techniques, including the Belinski-Zakharov soliton method,
play an important role in constructing instantons. There are several
uniqueness conjectures for instantons, which remain open.
- Solitons --- localized steady states of field theories. There is a
zoo of examples, in general relativity (eg. black holes, i.e. Lorentzian
versions of gravitational instantons), wave equations (eg. Q Balls),
Maxwell-Dirac theory, to name just a few. Surprisingly little is known
about the stability and dynamics of these objects in 3+1 dimensions.
Prerequisites: Participants are assumed to have basic knowledge in differential
geometry and general relativity.
Modul: Seminar in Analysis/Geometrie/Math. Physik
Zeit: Preliminary date & time is 10AM on Wednesdays but this can be adapted to
needs of participants.
For more information visit the Moodle page of the seminar.