Mathematics of Planet Earth

This workshop is aimed at sharing ideas and discussion of recent results in Complex analysis and differential geometry. Over the four days, the workshop will focus on para-complex notions and results of Kähler and CR-geometry and their applications in fluid mechanics, meteorology, image recognition and economics via the Monge-Kantorovich mass transport problem.

By restricting to special structures with symmetries, we expect to gain new insights, which also improve our understanding of more general structures. It will provide early career researchers with a valuable forum to showcase and obtain feedback on their work from leading researchers in the field and gain insights into the open challenges.

The following research questions will be addressed:

1. Clarification of the relation between CR-Geometry and the Monge-Ampere equation.

2. Explicit computability of Cartan connections for CR-manifolds of codimension

3. The rigid-sphere-problem, that is the explicit description of real hypersurfaces in complex space that are equivalent to a hypersphere and have a transversal shift symmetry.

4. CR-manifolds of infinite type.

5. Study of totally geodesic submanifolds of solvable metric Lie groups, in particular, the question when such submanifolds are subgroups.

Key-note speakers at the workshop include:

– Professor Dmitri Alekseevsky, Masaryk University Brno, Czech Republic

– Professor Kang-Tae kim, POSTECH, Korea

– Professor Bernhard Lamel, University of Vienna

Registration details to be released soon.