|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Symplectic forms in algebraic geometry|
|Affiliation:||Member, School of Mathematics|
|Date:||Friday, January 30|
|Time/Room:||1:30pm - 2:30pm/S-101|
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.