11 sep 2023 - 15 sep 2023
Bonn
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Dear all,
This is an announcement for the school "K3 surfaces, hyperkähler manifolds, and cubic fourfolds", taking place in Bonn, September 11-15, 2023. The target audience is graduate students and postdocs.
Dates: September 11 - 15, 2023
Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Lecturers:
Chiara Camere (Milano)
Daniel Huybrechts (Bonn)
Christian Lehn (TU Chemnitz)
Sofia Tirabassi (Stockholm)
Description:
The focus of the school will be K3 surfaces, hyperkähler manifolds, and cubic fourfolds. A major problem in the geometry of classical algebraic varieties is the rationality problem for cubic hypersurfaces of dimension 4. While it remains to be seen whether all cubic fourfolds are rational, a rich framework of theorems and conjectures has been developed to study this problem, relating cubic fourfolds with K3 surfaces as well as other hyperkähler manifolds. Some of these relationships are described by classical algebraic geometric constructions, and in the last few decades tools such as Hodge theory, derived categories, and moduli theory have proven indispensable in studying these connections.
The school aims to introduce participants to this circle of ideas, and will consist of 4 expository mini-courses and short introductory talks from some participants of the Junior Trimester Program. The lectures will be aimed at advanced graduate students and postdocs with a background in algebraic geometry.
If you are interested in participating in this event, please fill the online application here: https://www.him.uni-bonn.de/programs/future-programs/future-junior-trimester-programs/jtp-algebraic-geometry/school-group-hyperk3s/online-application/ The deadline is June 18.
Organizers: Sarah Frei (Dartmouth), Richard Haburcak (Dartmouth), Genki Ouchi (iTHEMS), and Jack Petok (Dartmouth), Xuqiang Qin (UNC)