Eric Kilgore, Stanford University

Title: Legendrian non-squeezing via microlocal sheaves

Abstract: In this talk I will explain some quantitative embedding results for Legendrian submanifolds of pre-quantization spaces. To start, I will recall some contact non-squeezing results for domains, and present an elementary proof of Legendrian non-squeezing for lifts of integral Lagrangian loops in T*R, using a notion of normal ruling. Then I will explain a high dimensional generalization of this technique in the language of microsheaves. If time permits, as an application, I will show that certain Clifford and Chekanov Legendrians are not squeezable