Tommaso Pacini, University of Torino
Anisotropic calibrations, adiabatic limits, and mirror symmetry
Calibrations, adiabatic limits and Fueter maps play an important role in the theory of man ifolds with special holonomy and in the corresponding gauge theory. The goal of this seminar is to show how they can be fitted into a very general framework, defined via distributions and the concept of “anisotropic calibrations”. This framework (i) applies in a uniform way across special holonomy, (ii) provides an identification between certain Fueter maps and calibrated submanifolds, (iii) introduces new degrees of freedom which may be useful towards genericity arguments, (iv) provides techniques for both explicit and abstract existence results for Fueter maps. This is joint work with Kotaro Kawai (BIMSA, China). The seminar will be largely non-technical. Details can be found in the arXiv paper with the same title.
MC 5403