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182 MEMORIAL DR, Cambridge, MA 02139

https://math.mit.edu/~shaoyunb/SympSeminar.html #MIT
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Speaker: 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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