Augmentations and exact Lagrangian surfaces.

April 14, 2020 4:01pm UTC

April 14, 2020 12:01pm UTC -04 (Host local time)

Speaker: Yu Pan (Mit) - Hosted by Vitual LDT Seminar

Abstract:
Augmentations are some algebraic invariants of Legendrian that are tightly related to both embedded and immersed exact Lagrangian fillings. We will talk about various relations between embedded and immersed exact Lagrangian surfaces using tools related to augmentations. (...)

Framed mapping class groups, or the topology of families of flat surfaces

April 14, 2020 4:31pm UTC

April 14, 2020 12:31pm UTC -04 (Host local time)

Speaker: Nick Salter (Columbia) - Hosted by Virtual Trends in LDT

Abstract:
Families of surfaces are everywhere in mathematics, not just in topology, but in algebraic geometry, complex analysis, dynamics, and even number theory. The topology of a family of surfaces is governed by a “monodromy representation” that is valued in the mapping class group. I’m interested in (a) developing tools within the mapping class group to better understand monodromy and (b) applying these tools to problems involving families of surfaces, inside and out of topology proper. (...)