For full info and registration information, please refer to this page: https://www.pims.math.ca/scientific-event/190624-pussaghep . 

 

For most of the 20th Century, the main type of geometry  appearing in theoretical physics was differential geometry, a connection arising in no small part from Einstein's general theory of relativity. In the latter twenty years of that century, string theory and --- in particular --- mirror symmetry had led to new and non-trivial interactions between algebraic geometry and high-energy physics. Techniques and ideas related to moduli spaces of curves, enumerative geometry, toric geometry, superconformal algebras, integrable systems, the geometric Langlands program, and topological recursion are now staples of 21st Century physics where they have found applications in computing scattering amplitudes, calculating Gromov-Witten invariants, and expressing mathematically the predictions of the anti-de Sitter / conformal field theory (AdS / CFT) correspondence. This summer school will expose graduate students and recent postdoctoral fellows from mathematics to novel applications of geometry in theoretical physics and, for those from physics, to powerful algebro-geometric techniques that can be deployed in their work.