Analysis and geometry

author: Franc Forstnerič, Faculty of Mathematics and Physics, University of Ljubljana
produced by: S.TV.A.d.o.o.
published: Aug. 14, 2013,   recorded: June 2013,   views: 2779

Related Open Educational Resources

Related content

Report a problem or upload files

If you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
Lecture popularity: You need to login to cast your vote.


We intend to perform research and obtain new results in thirteen areas in complex analysis and geometry, global analysis, functional analysis and geometry, and harmonic analysis. These areas are:

1. Complex analysis and geometry
- Study of nonlinear boundary value problems for quazilinear equations on finite Riemann surfaces
- Construction of proper holomorphic maps from the disc whose ranges miss a given pluripolar set
- Construction of regular holomorphic maps from Stein manifolds to complex manifolds
- Construction of differentiable Cauchy-Riemann embeddings of strictly pseudoconvex hypersurfaces into spheres
- Construction of Stein domains in non-Stein complex manifolds
- Analysis of complex analytic properties of real surfaces embedded into complex surfaces
- Morse theory of plurisubharmonic functions
- Boundaries of analytic sets and the argument principle
- H-principle for modified Stein Spaces
- Analytic extensions from families of curves

2. Global analysis
- Singularity structure of integrable systems

3. Functional analysis and geometry
- Isometries of Banach spaces and special norms on finite-dimensional spaces

4. Harmonic analysis
- Riesz transforms

Link this page

Would you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !

Write your own review or comment:

make sure you have javascript enabled or clear this field: