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SUMMARY:The topology of moduli spaces - Robert Crumplin\, Imperial College
  London
DTSTART:20231103T160000Z
DTEND:20231103T170000Z
UID:TALK204295@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:The homology of moduli spaces of curves has long been studied 
 and exhibits hidden structures of characteristic classes of families of cu
 rves. However\, until very recently understanding non-tautological homolog
 y was not understood with few examples. I will explain some recent work of
  Chan-Galatius-Payne which allows computations of the pieces of the weight
  filtration on the cohomology with methods from tropical and logarithmic g
 eometry. I will also explain some further routes of study to the homology 
 of other moduli spaces\, such as moduli spaces of stable maps.
LOCATION:MR13
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