Berlin-Hamburg-Hannover-Seminar am 10.07.2026

Kai Cieliebak (Augsburg) Symplectic quadrics in projective 3-space

A well-studied and intriguing question concerns the relation between symplectic and algebraic surfaces in the projective plane. In ongoing work with Zhengyi Zhou we address this question one dimension higher. In particular, we prove that each degree two symplectic hypersurface in complex projective space P³ is symplectomorphic to P¹x P¹ with its standard structure. The proof uses the moduli space of nodal rational curves of degree two.

Laurent Coté (Bonn) Fukaya categories of conical symplectic resolutions

Conical symplectic resolutions are a rather loosely defined class of hyperkähler varieties arising from canonical constructions in representation theory. Important examples include hypertoric varieties, Nakajima quiver varieties and Hitchin spaces. I will talk about Fukaya categories of conical symplectic resolutions. These are very rich objects, and they also turn out to be related to geometric representation theory. I will try to give an overview of this circle of ideas, much of which is not new in the symplectic literature. Any new content discussed in this talk is joint work (partly in progress) with (subsets of) Benjamin Gammage, Justin Hilburn, Christopher Kuo, Wenyuan Li, David Nadler and Vivek Shende.