Seminar za algebru

U utorak, 18.  travnja 2023. okviru Seminara za algebru, Emanuele Macri,  Université Paris-Saclay,  održat će predavanje:

 
"Hyper-Kähler manifolds and Lagrangian fibrations".

Sažetak:
A hyper-Kähler manifold is a complex Kähler manifold that is simply connected, compact, and has a unique holomorphic symplectic form, up to constants. This important class of manifolds has been studied in the past in many contexts, from an arithmetic, algebraic, geometric point of view, and in applications to physics and dynamics. The theory in dimension two, namely K3 surfaces, is well understood.
The aim of the seminar is to give an introduction to the theory of hyper-Kähler manifolds in higher dimension, from a point of view of their classification; in particular, about the existence of Lagrangian fibrations.
We will present some results in dimension four, obtained recently in collaboration with Olivier Debarre, Daniel Huybrechts and Claire Voisin.

Napomenimo  da je Emanuele Macri bio pozvani predavač na ICM 2022  iz  podrucja "Algebraic and Complex Geometry".

Seminar počinje u 15:00 sati u predavaonici A101. Pozivaju se članovi Seminara i svi zainteresirani da prisustvuju ovom zanimljivom predavanju.