BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mohan Swaminathan (Princeton University) DTSTART:20200513T150000Z DTEND:20200513T160000Z DTSTAMP:20260404T170346Z UID:CMI/4 DESCRIPTION:Title: A concrete approach to virtual classes in genus 0 Gromov--Witten theory \nby Mohan Swaminathan (Princeton University) as part of CMI seminar s eries\n\n\nAbstract\nGromov--Witten theory is concerned with counting curv es inside (smooth) projective varieties satisfying some incidence conditio ns (e.g. how many rational degree d curves pass through 3d-1 generic point s in the complex projective plane?). In general (due to complications aris ing from the fact that spaces of curves may not be smooth)\, instead of co unting curves directly\, we need to use intersection theory on the space o f curves to define certain "virtual counts". In the first half of the talk \, we will provide the necessary background (spaces of curves\, "expected dimension"\, compactness and some examples of curve counting). In the seco nd half of the talk\, we will describe a concrete differential geometric a pproach to these "virtual counts" for genus 0 curves in projective varieti es (using ideas coming from the theory of psuedo-holomorphic curves in sym plectic manifolds).\n LOCATION:https://stable.researchseminars.org/talk/CMI/4/ END:VEVENT END:VCALENDAR