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SUMMARY:Giosuè Muratore (Federal University of Minas Gerais (UFMG))
DTSTART:20200429T183000Z
DTEND:20200429T193000Z
DTSTAMP:20260423T004513Z
UID:BRAG/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/2/">A R
 ecursive Formula for Osculating Curves</a>\nby Giosuè Muratore (Federal U
 niversity of Minas Gerais (UFMG)) as part of Brazilian algebraic geometry 
 seminar\n\n\nAbstract\nLet $X$ be a smooth complex projective variety. Usi
 ng a construction\ndevised to Gathmann\, we present a recursive formula fo
 r some of the\nGromov-Witten invariants of $X$. We prove that\, when $X$ i
 s homogeneous\, this\nformula gives the number of osculating rational curv
 es at a general point of a general hypersurface of $X$. This generalizes t
 he classical well known pairs of in inflection (asymptotic) lines for surf
 aces in $\\mathbb{P}^3$ of Salmon\, as well as Darboux's 27 osculating con
 ics.\n\nLink for the talk will be provided a few days in advance.\n
LOCATION:https://researchseminars.org/talk/BRAG/2/
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