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SUMMARY:Giosuè Muratore (FCUL\, Lisbon)
DTSTART:20220622T103000Z
DTEND:20220622T120000Z
DTSTAMP:20260423T010747Z
UID:GPL/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPL/19/">Int
 roduction to Gromov-Witten invariants\, III</a>\nby Giosuè Muratore (FCUL
 \, Lisbon) as part of Geometry and Physics @ Lisbon\n\n\nAbstract\nThe goa
 l of this crash course is to introduce the basic notions of moduli space o
 f stable maps\nand Gromov-Witten invariants. In particular when the stable
  maps have rational domain and the\ntarget is a projective space.\n\nDescr
 iption:\nThe course is split in 5 main parts. We will cover the following 
 topics\, time permitting.<br>\n(1) Basic definitions.<br>\n(2) The case of
  genus 0: boundary divisors and examples.<br>\n(3) Gromov-Witten invariant
 s.<br>\n(4) Quantum cohomology.<br>\n(5) Kontsevich-Atiyah-Bott formula.\n
 \nIf time permits\, we will give some enumerative applications.\n\nMain Re
 ferences:\n\n[CK99] D. A. Cox and S. Katz\, Mirror symmetry and algebraic 
 geometry\, AMS\, 1999.<br>\n[FP97] W. Fulton and R. Pandharipande\, Notes 
 on stable maps and quantum cohomology\, Algebraic geometry—Santa Cruz 19
 95\, Proc. Sympos. Pure Math.\, 62\, AMS\, 1997.<br>\n[HTK+03] K. Hori\, R
 . Thomas\, S. Katz\, C. Vafa\, R. Pandharipande\, A. Klemm\, R. Vakil\, an
 d E. Zaslow\, Mirror symmetry\, vol. 1\, AMS\, 2003.\n
LOCATION:https://researchseminars.org/talk/GPL/19/
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