Northern California Symplectic Geometry
Seminar, 2023-2024
Berkeley - Davis - Santa Cruz - Stanford
The Northern California Symplectic Geometry Seminar usually meets on the first Monday of each month. Established in 1992,
the Andreas Floer Memorial Lecture usually takes place in the Fall, during the first meeting of the seminar.
Upcoming NCSGS meetings
Monday Oct 2, 2023
, @ Berkeley
2:30pm-3:30pm, room 736 Evans Andreas Floer Memorial Lecture Roger Casals (UC Davis),
A program to classify Lagrangian fillings of Legendrian links
Abstract: This talk will present recent advances on the study of embedded exact Lagrangians in the standard Darboux 4-ball. We will discuss a three step strategy to classify Hamiltonian isotopy classes of Lagrangian fillings of Legendrian links. The main results for the two first steps, existence and surjectivity, have now been established for a wide class of Legendrians. I will discuss the statements and the geometric insights of their proofs in detail. The techniques combine a range of new ideas, including weaves, understanding topological polygons in surfaces, and the study of infinitesimal deformations of quivers with potential. We will motivate these arguments with examples and build the ideas from the ground up. At the end, there will be comments on the general case and the third step, injectivity, which closely relates to the study of Lagrangian skeleta for Weinstein 4-manifolds.
4pm-5pm, room 748 Evans Thomas Massoni (Princeton),
Taut foliations through a contact lens Abstract: In the late '90s, Eliashberg and Thurston established a remarkable
connection between foliations and contact structures in dimension
three: any co-oriented, aspherical foliation on a closed, oriented
3-manifold can be approximated by positive and negative contact
structures. Additionally, when the foliation is taut, its contact
approximations are (universally) tight.
In this talk, I will present a converse result concerning the
construction of taut foliations from suitable pairs of contact
structures. I will also describe a comprehensive dictionary between
the languages of foliations and of (pairs of) contact structures.
Although taut foliations are usually considered rigid objects, this
contact viewpoint reveals some degree of flexibility. As an
application, I will show that taut foliations survive after performing
large slope surgeries along transverse knots.
Organizers: Mohammed Abouzaid (Stanford), Roger Casals (Davis), Yasha Eliashberg (Stanford), Dmitry Fuchs (Davis), Viktor Ginzburg (Santa Cruz), Michael Hutchings (Berkeley), Eleny Ionel (Stanford), Richard Montgomery (Santa Cruz), Vivek Shende (Berkeley), Laura Starkston (Davis), Katrin Wehrheim (Berkeley), Alan Weinstein (Berkeley/Stanford).
For further information, please contact
Eleny Ionel