Geometric Partial Differential Equations from Unified String Theories

Mercredi 5 mai 16:00-18:00 - Duong Phong - Columbia

Résumé : The laws of nature at its fundamental level have long been a source of inspiration for geometry and partial differential equations. With unified string theories and particularly supersymmetry, a particularly important new requirement has emerged, which is that of special holonomy. The earliest manifestation was identified by Candelas, Horowitz, Strominger, and Witten in 1985 as the Calabi-Yau condition, but more general spaces have emerged since, that can be interpreted as generalizations of the Calabi-Yau condition to both non-Kaehler complex geometry and symplectic geometry. The corresponding equations are interesting in their own right from the point of view of the theory of non-linear partial differential equations. We shall survey some of these developments, with emphasis on the analytic open problems.

Lieu : Demander le lien Zoom à jean-michel.bismut@universite-paris-saclay.fr

Geometric Partial Differential Equations from Unified String Theories  Version PDF