Tommaso Pacini (Turin) will speak in the geometry seminar at 2pm on 15th June in the Salle des Profs (9th floor building NO). Tommao’s title is “Anisotropic calibrations, adiabatic limits and mirror symmetry” and his abstract is below. Hope to see you there!
Calibrations, adiabatic limits and Fueter maps play an important role in the theory of manifolds 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) highlights certain minimization properties of Fueter sections, (iii) introduces new degrees of freedom which may be useful towards genericity arguments, (iv) provides techniques for both explicit and abstract existence results. 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.