Symplectic forms in algebraic geometry

Princeton/IAS Symplectic Geometry Seminar
Topic:Symplectic forms in algebraic geometry
Speaker:Giulia SaccĂ 
Affiliation:Member, School of Mathematics
Date:Friday, January 30
Time/Room:1:30pm - 2:30pm/S-101
Video Link:http://video.ias.edu/puiassgs/2015/0130-GiuliaSacc%C3%A0

Imposing the existence of a holomorphic symplectic form on a projective algebraic variety is a very strong condition. After describing various instances of this phenomenon (among which is the fact that so few examples are known!), I will focus on the specific topic of maps from projective varieties admitting a holomorphic symplectic form. Essentially, the only such maps are Lagrangian fibrations and birational contractions. I will motivate why one should care about these types of maps, and give many examples illustrating their rich geometry. I will not assume background material, beyond a basic course in algebraic geometry.