BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Renzo Cavalieri (Colorado State University) DTSTART:20211202T195000Z DTEND:20211202T205000Z DTSTAMP:20260423T022926Z UID:GPRTatNU/32 DESCRIPTION:Title: The integral Chow ring of $M_0(\\mathbb{P}^r\,d)$\nby Renzo Cavalier i (Colorado State University) as part of Geometry\, Physics\, and Represen tation Theory Seminar\n\n\nAbstract\nWe give an efficient presentation of the Chow ring with integral coefficients of the open part of the \n moduli space of rational maps of odd degree to projective space. A less fa ncy description of this space \n has its closed points correspond to equivalence classes of $(r+1)$-tuples of degree $d$ polynomials in one \n variable with no common positive degree factor. We identify this sp ace as a $GL(2)$ quotient of an open \n set in a projective space\, and then obtain a (highly redundant) presentation by considering an envelo pe \n of the complement. A combinatorial analysis then leads us to e liminating a large number of relations\, \n and to express the remai ning ones in generating function form for all dimensions. The upshot of th is \n work is to observe the rich combinatorial structure contained in the Chow rings of these moduli spaces \n as the degree and the ta rget dimension vary. This is joint work with Damiano Fulghesu.\n LOCATION:https://researchseminars.org/talk/GPRTatNU/32/ END:VEVENT END:VCALENDAR