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SUMMARY:Junwu Tu
DTSTART:20210209T150000Z
DTEND:20210209T160000Z
DTSTAMP:20260423T021232Z
UID:Freemath/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/38/
 ">On the categorical enumerative invariants of a point</a>\nby Junwu Tu as
  part of Free Mathematics Seminar\n\n\nAbstract\nWe briefly recall the def
 inition of categorical enumerative invariants (CEI) first introduced by Co
 stello around 2005. Costello's construction relies fundamentally on Sen-Zw
 iebach's notion of string vertices V_{g\,n}'s which are chains on moduli s
 pace of smooth curves M_{g\,n}'s. In this talk\, we explain the relationsh
 ip between string vertices and the fundamental classes of the Deligne-Mumf
 ord compactification of M_{g\,n}. More precisely\, we obtain a Feynman sum
  formula expressing the fundamental classes in terms of string vertices. A
 s an immediate application\, we prove a comparison result that the CEI of 
 the field \\mathbb{Q} is the same as the Gromov-Witten invariants of a poi
 nt.\n
LOCATION:https://researchseminars.org/talk/Freemath/38/
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