ALGEBRAIC GEOMETRY SEMINAR - TRINO SERIES - Friday, 28 April 2023, 15:00 (UniTS)

[LEWANSKI DANILO]

ALGEBRAIC GEOMETRY SEMINAR - TRINO SERIES

Speaker: Camilla Felisetti (Università di Modena e Reggio Emilia)

Venue: Friday April 28 at 15:00, University of Trieste, H2bis building in via Valerio 12/1, Aula Seminari, third floor.

Title: O’Grady tenfolds as moduli spaces of sheaves

Abstract: Knowing birational models of irreducible holomorphic symplectic (ihs) manifolds is a significant stage towards the full comprehension of their geometry. Many examples of them can be realized as moduli spaces of sheaves on abelian and K3 surfaces, or in the case of O’Grady type manifolds, as symplectic resolutions of some singular moduli spaces of sheaves with specific numerical invariants. The latter form a codimension 3 locus in the moduli space of ihs manifolds of OG10 type: it is then natural to wonder when a manifold of OG10 type is birational to a moduli space of sheaves on a K3.

In the talk, I will provide a lattice theoretic answer to this question and present a criterion to determine when a birational transformation of an OG10 is induced by an automorphism of the K3 surface.

If time permits, I will show applications to the Li–Pertusi–Zhao variety of OG10 type associated to any smooth cubic fourfold.

The talk is based on a joint work with Franco Giovenzana and Annalisa Grossi.

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We’ll have a small social dinner in the evening. Confirm your presence by replying to danilo.lewanski at units.it<mailto:danilo.lewanski at units.it> by April the 26th.

Everyone is welcome to attend.
All the best,
Danilo Lewański