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SUMMARY:Mark Mclean (Stony Brook)
DTSTART:20210405T010000Z
DTEND:20210405T020000Z
DTSTAMP:20260423T024514Z
UID:IBSCGP/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IBSCGP/5/">F
 loer Cohomology and Arc Spaces</a>\nby Mark Mclean (Stony Brook) as part o
 f IBS-CGP weekly zoom seminar\n\n\nAbstract\nLet f be a polynomial over th
 e complex numbers with an isolated singular point at the origin and let d 
 be a positive integer. To such a polynomial we can assign a variety called
  the dth contact locus of f. Morally\, this corresponds to the space of d-
 jets of holomorphic disks in complex affine space whose boundary ‘wraps
 ’ around the singularity d times. We show that Floer cohomology of the d
 th power of the Milnor monodromy map is isomorphic to compactly supported 
 cohomology of the dth contact locus. This answers a question of Paul Seide
 l and it also proves a conjecture of Nero Budur\, Javier Fernández de Bob
 adilla\, Quy Thuong Lê and Hong Duc Nguyen. The key idea of the proof is 
 to use a jet space version of the PSS map together with a filtration argum
 ent.\n
LOCATION:https://researchseminars.org/talk/IBSCGP/5/
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