About this Event
View mapSpeaker: Eric Kilgore (Stanford University)
Title: Legendrian non-squeezing via microsheaves
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 some variations on normal rulings. Then I will explain how to generalize this to high dimensions using the language of microsheaves. If time permits, as an application, I will show that the Legendrian lifts of certain monotone Lagrangian tori in $\mathbb{C}^n$ are not squeezable.
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