BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Fano manifolds of Picard number one whose co-tangent bundle is alg
 ebraically completely integrable system and its endomorphisms
DTSTART:20260611T120000Z
DTEND:20260611T130000Z
DTSTAMP:20260616T052400Z
UID:indico-event-16541@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sarbeswar Pal\n\nLet $X$ be a projective Fano manifo
 ld of Picard number one\, different from the projective space. There is a 
 folklore conjecture that any non-constant endomorphism of $X$ is an isomor
 phism. In the first half of  this talk\, we will prove the folklore conje
 cture when the co-tangent bundle of $X$ is algebraically completely integr
 able system and the tangent bundle of $X$ is not nef. In the second half o
 f the talk\, we will give examples of a collection of projective Fano mani
 folds of Picard rank one (different from the moduli space of vector bundle
 s on algebraic curves) whose co-tangent bundles are algebraically complete
 ly integrable system.  As applications of our main theorem and examples\,
  in fact give alternative proofs of  three major results appeared in thre
 e different articles.\n \n \n\nhttps://indico.math.cnrs.fr/event/16541/
LOCATION:Salle de conférences (LJAD)
URL:https://indico.math.cnrs.fr/event/16541/
END:VEVENT
END:VCALENDAR