Interactions between Fano and hyperkahler geometries

Người báo cáo: Vanja Zuliani (Université Paris-Saclay)

Time: 16:30, September 10, 2026

Place: Room 612, Building A6

Online Zoom link:  https://zoom.us/j/99636681387?pwd=0WscBnehOJig68SqctGluVuA3RwraE.1

Abstract: We will consider some unexpected and non-trivial examples of Fano and hyperkahler manifolds and explain their interactions. Classical results by Beauville-Donagi, Lehn-Lehn-Sorger-van Straten associate a hyperkahler variety to a cubic fourfold. Recently, Flapan-Macrì-O’Grady-Saccà constructed Fano varieties from hyperkahler varieties.

I will explain the latter construction and how to compute the Hodge numbers of a Fano 8-fold obtained in this way.

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Xuất bản mới
Đoàn Thái Sơn, Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces, Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. II, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 47-56, (July 2026)
Nguyễn Quốc Thắng, On rational points on homogeneous spaces over local and global fields and their Brauer and R-equivalence relations. I, Proceedings of the Japan Academy, Series A, Mathematical Sciences, 102 (7), 37-46, (July 2026)