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SUMMARY:Renzo Cavalieri (Colorado State University)
DTSTART:20211119T200000Z
DTEND:20211119T210000Z
DTSTAMP:20260407T231251Z
UID:agstanford/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/6
 9/">The integral Chow ring of $M_{0}(\\mathbb{P}^r\,d)$</a>\nby Renzo Cava
 lieri (Colorado State University) as part of Stanford algebraic geometry s
 eminar\n\n\nAbstract\nWe give an efficient presentation of the Chow ring w
 ith integral coefficients of the open part of the moduli space of rational
  maps of odd degree to projective space. A less fancy description of this 
 space has its closed points correspond to equivalence classes of $(r+1)$-t
 uples of degree $d$ polynomials in one variable with no common positive de
 gree factor. We identify this space as a $GL(2\,\\mathbb{C})$ quotient of 
 an open set in a projective space\, and then obtain a (highly redundant) p
 resentation by considering an envelope of the complement. A combinatorial 
 analysis then leads us to eliminating a large number of relations\, and to
  express the remaining ones in generating function form for all dimensions
 . The upshot of this work is to observe the rich combinatorial structure c
 ontained in the Chow rings of these moduli spaces as the degree and the ta
 rget dimension vary. This is joint work with Damiano Fulghesu.\n\nThe sync
 hronous discussion for Renzo Cavalieri’s talk is taking place not in zoo
 m-chat\, but at https://tinyurl.com/2021-11-19-rc (and will be deleted aft
 er ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/69/
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