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Geometry & Topology Seminar-Prof.Richard Hind

posted Mar 2, 2015, 10:15 PM by Hyemin Shin   [ updated Mar 2, 2015, 10:30 PM ]

-title: Packing stability for irrational symplectic 4-manifolds

- Speaker:Prof. Richard Hind (University of Notre Dame)

- Abstract: In joint work with Olga Buse and Emmanuel Opshtein we show that associated to every symplectic 4-manifold (M,ω) is a positive constant λ with the following property. There exists a symplectic embedding of a disjoint union of open balls into provided each ball has capacity at most λ and the total volume of the balls is no more than the volume of M.

In the rational case (that is, when [ω]H2(M,Q)) this builds on work of Biran which relies on Donaldson’s construction of symplectic hypersurfaces. In the general case we apply a flexible decomposition of M (up to a subset of volume 0) into a finite union of ellipsoids and pseudo-balls.

- Place: Math Science bldg. Room 404

- Date: 4p.m.- on Wednesday, March 11, 2015

Organized by Jae Choon Cha, Kang-Tae Kim, and Yong-Geun Oh