General type results for moduli of hyperkahler varieties

Abstract: In 2007, Gritsenko, Hulek and Sankaran proved that the moduli space of K3 surfaces of degree 2d is of general type when d>61. Their strategy is to reduce the question to the existence of a certain cusp form for an orthogonal modular variety. This method has been applied successfully to prove general type results for, among others, some moduli of higher-dimensional hyperkähler varieties. In this talk, we sketch the reduction argument and give general type results for some more types of hyperkähler moduli spaces. We also explain what the challenges are when trying to imitate the strategy for other moduli spaces of hyperkähler varieties. This is joint work in progress with I. Barros, P. Beri and L. Flapan.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.

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Times vary to accommodate speakers time zones but times will be announced in GMT time.