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SUMMARY:Cohomology of the moduli space of curves - Rahul Pandharipande (ET
 H)
DTSTART:20180503T160000Z
DTEND:20180503T170000Z
UID:TALK93550@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The moduli space of curves (or Riemann surfaces of dimension 1
 ) has\nbeen studied by geometers and topologists since Riemann's papers in
  the\nlate 19th century. More recently\, the subject has had significant i
 nteractions\nwith mathematics physics. While much is known about the geome
 try of the\nmoduli space\, many important questions remain open.\n\nI will
  discuss basic cohomology classes\, their associated rings\, and the\nrela
 tions they satisfy.  The study has origins in ideas of Mumford from the 19
 80s\, conjectures\nof Faber-Zagier from the 90s\, and more recent proposal
 s of Pixton.\nThe role of special hypergeometric  series and the connectio
 ns to\nCohomological Field Theories will be highlighted.\n\nThere will be 
 a wine reception following the talk in the Central Core.
LOCATION:MR2\, CMS
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