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SUMMARY:Mohan Swaminathan (Princeton University)
DTSTART:20200513T150000Z
DTEND:20200513T160000Z
DTSTAMP:20260513T195759Z
UID:CMI/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/4/">A co
 ncrete approach to virtual classes in genus 0 Gromov--Witten theory</a>\nb
 y Mohan Swaminathan (Princeton University) as part of CMI seminar series\n
 \n\nAbstract\nGromov--Witten theory is concerned with counting curves insi
 de (smooth) projective varieties satisfying some incidence conditions (e.g
 . how many rational degree d curves pass through 3d-1 generic points in th
 e complex projective plane?). In general (due to complications arising fro
 m the fact that spaces of curves may not be smooth)\, instead of counting 
 curves directly\, we need to use intersection theory on the space of curve
 s to define certain "virtual counts". In the first half of the talk\, we w
 ill provide the necessary background (spaces of curves\, "expected dimensi
 on"\, compactness and some examples of curve counting). In the second half
  of the talk\, we will describe a concrete differential geometric approach
  to these "virtual counts" for genus 0 curves in projective varieties (usi
 ng ideas coming from the theory of psuedo-holomorphic curves in symplectic
  manifolds).\n
LOCATION:https://researchseminars.org/talk/CMI/4/
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