Abstract for the talk on 05.10.2017 (11:00 h)Seminar on Nonlinear Algebra
James Mathews (Memorial Sloan-Kettering Cancer Center)
Submanifold jets and envelopes
I will introduce prolongations and envelopes of a family of submanifolds or subvarieties, in the generality of arbitrary dimensions and jet-order. The notion has its roots throughout classical geometry (optics, caustics, developable surfaces, confocal quadrics).