Universiteit Utrecht Department of Mathematics
Fabian Ziltener

Seminar Orientation on Research in Geometry (WISM556)

dates: October 5 and 12, 2015

place: HFG 610, mathematics department

title: Some highlights of symplectic geometry

abstract: Symplectic geometry originated from classical mechanics, where the canonical symplectic form on phase space appears in Hamilton's equation. It is related to dynamical systems, algebraic geometry, and string theory.

I will start my lectures by explaining basic notions, such as symplectic forms and Hamilton's equation. After this I will discuss the following highlights of symplectic geometry:

I will motivate and explain the statements and the ideas of proof of these results and the conjecture. (Full proofs would fill an entire lecture course.)