Workshop

Young perspectives on ihs manifolds

Stuttgart, Germany | 18-20 May 2020

Registration: please send an e-mail to Katja Stefanie Engstler to register for the workshop.

Poster: please send an e-mail to Davide Cesare Veniani to apply for a poster presentation.

The workshop will take place from Monday 18th May 14:00, until Wednesday 20th May 12:00.

Monday 18th May

14:00 - 15:00: talk 1
15:00 - 15:30: coffee break
15:30 - 16:30: talk 2
16:30 - 16:45: break
16:45 - 17:45: talk 3

Tuesday 19th May

9:30 - 10:30: talk 4
10:30 - 11:00: coffee break
11:00 - 12:00: talk 5
12:00 - 13:10: lunch
13:10 - 14:10: talk 6
14:10 - 14:20: break
14:20 - 15:20: talk 7
15:20: coffee break & poster session
19:30: social dinner

Wednesday 20th May

9:30 - 10:30: talk 8
10:30 - 11:00: coffee break
11:00 - 12:00: talk 9

Valeria Bertini (Technische Universität Chemnitz)
Rational curves on O'Grady's tenfolds
Thanks to some recent works due to F. Charles, G. Mongardi and G. Pacienza, we know that, in order to show the existence of rational curves on irreducible holomorphic symplectic (IHS) varieties of a fixed deformation type, it is enough to do it for special points of their moduli space, thanks to the study of the monodromy group of the variety. In this talk I will start introducing the problem of finding rational curves on IHS varieties and presenting some motivation behind it; I will describe the state of the art of the problem and I will present my contribution to the OG10-case, giving examples of ample uniruled divisors on OG10-varieties.

Ana-Maria Brecan (Universität Bayreuth)

Chiara Camere (Università degli Studi di Milano Statale)

Alberto Cattaneo (Universität Bonn)

Enrico Fatighenti (Loughborough University)
Hodge structures of K3 type in Fano varieties
Subvarieties of Grassmannians (and especially Fano varieties) obtained from section of homogeneous vector bundles are far from being classified. A case of particular interest is given by the Fano varieties of K3 type (FK3), for their deep links with hyperkähler geometry. In this talk we will present some examples of recently discovered FK3 varieties, and a general procedure that allows us to spread a (Hodge) K3 structure as a component of the Hodge structure of different varieties. This is in collaboration with Giovanni Mongardi and Marcello Bernardara--Laurent Manivel.

Grégoire Menet (Institut Fourier, Grenoble)
On compact hyperkähler orbifolds
Since Bogomolov's decomposition theorem, hyperkähler manifolds play an important role in algebraic geometry; they can be considered as elementary bricks for classifying kähler manifolds with trivial first Chern class. However, in the framework of the minimal model program, we remark that considering only smooth varieties is not enough to provide a satisfactory classification. Hyperkähler orbifolds partially answer to this problem. An orbifold is a generalization of a manifold obtained by gluing quotients of open sets of C^n by finite groups. In this talk, I will give an overview of the recent progress in this area and sketch a classification of the known examples.

Marc Nieper-Wißkirchen (Universität Augsburg)

Claudio Onorati (Universitetet i Oslo)
Monodromy and birational geometry of OG10 manifolds

Lenny Taelman (Universiteit van Amsterdam)
Derived equivalences between hyperkähler varieties

 

Pietro Beri (Université de Poitiers)
Luca Giovenzana (Technische Universität Chemnitz)
Caren Schinko (Universität Augsburg)

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