The Geometric Calculus of Variations and its Applications
(ERC Advanced Investigator Grant)
Jürgen Jost (Email)
+49 (0) 341 - 9959 - 552
+49 (0) 341 - 9959 - 658
Variational problems, QFT, Symmetries and applications:
I investigate geometrical analytic problems originated in geometry and physics, such as harmonic maps and related models. In particular, Dirac equations on manifolds are considered and their extension, called ``Dirac-harmonic maps''. This is a mathematical version of the nonlinear supersymmetric sigma model of quantum field theory.