Workshop on the h-principle and beyond

The flexibility of caustics and its applications

Abstract: Singularities of smooth maps are flexible: there holds an h-principle for their simplification. I will discuss an analogous h-principle for caustics, i.e. the singularities of Lagrangian and Legendrian wavefronts. I will also discuss applications, notably to Nadler's arborealization program for skeleta of Weinstein manifolds, which can be thought of as a high-dimensional symplectic generalization of the theory of ribbon graphs in open Riemann surfaces.

Date & Time

November 03, 2021 | 11:45am – 12:45pm

Location

Simonyi 101 and Remote Access

Speakers

Daniel Alvarez-Gavela

Speaker Affiliation

Massachusetts Institute of Technology

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