Speaker: Sergey Galkin

Title: Monotone Lagrangian tori in the plane

Date: Oct 2, 2014, 11:30-12:30

Place: Eilat

This is a joint work with Grigory Mikhalkin. Earlier with Alexander Usnich and John Alexander Cruz Moralez I put a conjecture that to each Q-Gorenstein toric degeneration of a complex projective plane one can associate a monotone Lagrangian torus, and gave a formula for numbers of pseudo-holomorphic discs bounded on each of these tori. Now using tropical geometry we give a construction of these tori and prove that the Laurent polynomials proposed earlier indeed count pseudo-holomorphic discs on these tori.