Séance en visio-conférence à 13h45 (demander le lien par email à symplectix@gmail.com ).
Jack Smith (Cambridge, UK)
Title : RP^n-like Lagrangians in CP^n
Given a smooth Fano variety of complex dimension n, it is well known that its Fano index is bounded above by n+1, with equality precisely for CP^n. Inside CP^n one can consider monotone ("relatively Fano") Lagrangians L, and the analogous bound states that the minimal Maslov number of L is at most n+1. The only known equality case, up to Hamiltonian isotopy, is RP^n, and Biran and Cornea conjectured that there really are no others. I will describe joint work with Momchil Konstantinov in which we prove the conjecture at the level of homotopy equivalence.
Given a smooth Fano variety of complex dimension n, it is well known that its Fano index is bounded above by n+1, with equality precisely for CP^n. Inside CP^n one can consider monotone ("relatively Fano") Lagrangians L, and the analogous bound states that the minimal Maslov number of L is at most n+1. The only known equality case, up to Hamiltonian isotopy, is RP^n, and Biran and Cornea conjectured that there really are no others. I will describe joint work with Momchil Konstantinov in which we prove the conjecture at the level of homotopy equivalence.
Séance suivante : avec Yanki Lekili le 29 Mai.
A noter, le vendredi à 15h15 heure de Paris : Symplectic Zoominar (CRM-Montreal, Princeton/IAS, Tel Aviv, and Paris): https://dms.umontreal.ca/~cornea/Seminar.html
