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Seminar of Algebraic Geometry in East Asia
 
09:00 - 10:00, November 6, 2020 (Friday)
broadcast in Room 515, Cosmology Bldg., Online seminar
(線上演講 於宇宙學大樓515教室收播)
Cohomology of Contact Loci
Hong Duc Nguyen (Basque Center for Applied Mathematics)

Abstract:

We construct a  spectral sequence converging to the cohomology with compact support of the $m$-th contact locus of a complex polynomial.  The first page is explicitly described in terms of a log resolution and coincides with the first page of McLean's spectral sequence converging to the Floer cohomology of the -th iterate of the monodromy, when the polynomial has an isolated singularity. Inspired by this connection we conjecture that the Floer cohomology of the -th iterate of the monodromy of is isomorphic to the compactly supported cohomology of the -th contact locus of , and that this isomorphism comes from an isomorphism of McLean spectral sequence with ours.

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https://us02web.zoom.us/j/8988559386?pwd=RVhsVkkxZjdNOXBINjZTR2dyeTFVUT09

會議 ID:898 855 9386
密碼:cohomology
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會議 ID:898 855 9386
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