Legendrian weaves: flag moduli and flat connections

Legendrian weaves: flag moduli and flat connections

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Roger Casals
Taplin Auditorium

In this talk I will discuss Legendrian weaves and their applications. First, I will introduce these new Legendrian surfaces and exhibit an invariant coming from microlocal sheaf theory. Then, I will explain how to use Floer theory in order to endow moduli spaces of framed flat connections in surfaces with cluster structures.