Geometry and Topology

Lenny Ng from Duke will be speaking.

The title is "Infinitely many fillings through augmentations."

Contact Honghao Gao (gaohongh@msu.edu) for more information.

The event description is as follows:
An interesting problem in contact topology is to understand the Lagrangian surfaces that fill a given Legendrian link in a contact 3-manifold. A key breakthrough this year is that we now know some families of Legendrian links that have infinitely many different fillings. This is due to various work by Honghao Gao, Linhui Shen, Daping Weng, and some people who aren't currently at Michigan State, and the common approach is through microlocal sheaf theory and clusters. I'll describe a different, Floer-theoretic approach to the same sort of result, using augmentations of Legendrian contact homology. The Floer approach recovers some of the results from the sheaf approach and also produces some new examples of links with infinitely many fillings. This is joint work in progress with Roger Casals.

Location:	Zoom link provided on Math Seminars page [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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