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Fixed loci of antisymplectic involutions

Event Category:
Reading Seminar in Algebraic Geometry
Speaker:
Anibal Aravena
Institution:
UMass
Webpage:

Let $(X,\lambda)$ be a polarized compact irreducible hyperkahler manifold of $K3^{[n]}$-type. If $\lambda$ has square and divisibility 2, then there is an involution $\tau\in Aut(X)$ whose fixed locus has two connected components.

A work of Flapan, Macri, O'Grady and Sacca proves that one of these connected components is a Fano variety. In this talk I will illustrate this result using examples coming from the theory of moduli spaces of stable complexes in a K3 surface.

Friday, April 12, 2024 - 2:30pm
LGRT 1114