BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mark Mclean DTSTART:20201124T150000Z DTEND:20201124T160000Z DTSTAMP:20260423T052833Z UID:Freemath/31 DESCRIPTION:Title: Floer Cohomology and Arc Spaces\nby Mark Mclean as part of Free Math ematics Seminar\n\n\nAbstract\nLet f be a polynomial over the complex numb ers 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 conta ct locus of f. Morally\, this corresponds to the space of d-jets of holomo rphic disks in complex affine space whose boundary `wraps' around the sing ularity d times. We show that Floer cohomology of the dth power of the Mil nor monodromy map is isomorphic to compactly supported cohomology of the d th contact locus. This answers a question of Paul Seidel and it also prove s a conjecture of Nero Budur\, Javier Fernández de Bobadilla\, Quy Thuo ng Lê and Hong Duc Nguyen. The key idea of the proof is to use a jet sp ace version of the PSS map together with a filtration argument.\n LOCATION:https://researchseminars.org/talk/Freemath/31/ END:VEVENT END:VCALENDAR