Northern California Symplectic Geometry
Seminar, 2020-2021
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 October, during the first meeting of the seminar.
Upcoming NCSGS meetings
Monday, Nov 1st, 2021, @Stanford (virtually)
poster
1pm-2pm (Pacific Time)
Yaniv Ganor (Technion),
Big Fiber Theorems and Ideal-Valued Measures in Symplectic Topology;
Abstract: In various areas of mathematics there exist "big fiber theorems", these are theorems of the following type: "For any map in a certain class, there exists a 'big' fiber", where the class of maps and the notion of size changes from case to case. We will discuss three examples of such theorems, coming from combinatorics, topology and symplectic topology from a unified viewpoint provided by Gromov's notion of ideal-valued measures. We adapt the latter notion to the realm of symplectic topology, using an enhancement of Varolgunesâ€™ relative symplectic cohomology to include cohomology of pairs. This allows us to prove symplectic analogues for the first two theorems, yielding new symplectic rigidity results.
Necessary preliminaries will be explained.
The talk is based on a joint work with Adi Dickstein, Leonid Polterovich and Frol Zapolsky.
2:30pm-3:30pm (Pacific Time) on ZOOM
Andreas Floer Memorial Lecture Mohammed Abouzaid (Columbia University),
Complex cobordism and Hamiltonian fibrations;
Abstract: I will discuss joint work with McLean and Smith, lifting the
results of Seidel, Lalonde, and McDuff concerning the topology of
Hamiltonian fibrations over the 2-sphere from rational cohomology to
complex cobordism. In addition to the use of Morava K-theory (as in
the recent work with Blumberg on the Arnold Conjecture), the essential
new ingredient is the construction of global Kuranishi charts for
genus 0 pseudo-holomorphic curves; i.e. their realisation as quotients
of zero loci of sections of equivariant vector bundles on manifolds.