Seminar
The Hodge conjecture for powers of K3 surfaces
27 October 2022
Start time
2:30 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Aula seminari "-1" (Povo 0)
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Organizer:
Dipartimento di Matematica
Target audience:
University community
Attendance:
Free
Contact person:
Prof. Claudio Fontanari
Speaker:
Mauro Varesco (Bonn)
Abstract:
In this talk, after recalling the basics of Hodge theory, I will present some techniques that have proven to be effective in the study of the Hodge conjecture for powers of K3 surfaces. In particular, I will recall the construction of Kuga-Satake varieties starting from the second rational cohomology of a K3 surface and how it can be used to prove the Hodge conjecture for powers of K3 surfaces in some four-dimensional families. This talk is based on the paper [V].
[V] Varesco, M.: The Hodge conjecture for powers of K3 surfaces of Picard number 16. arXiv:2203.09778 (arXiv preprint) (2022)