CISM • International Centre for Mechanical Sciences

Derived Categories of Fano Varieties Hyperkähler Varieties and Their Period Maps

Meetings and events

The aim of this school is to introduce young researchers and PhD students to the theory of K3 surfaces, their higherdimensional analogues, hyperkähler manifolds and the related theory of derived categories of Fano varieties. These manifolds are interesting from several points of view: dynamical (some have interesting automorphism groups), arithmetical, and geometric. It is also one of those rare cases where the Torelli theorem allows for a powerful link between the geometry of these manifolds and lattice theory. Our aim is more to provide, for specific families of hyperkähler manifolds (which are projective deformations of punctual Hilbert schemes of K3 surfaces), a panorama of results about projective embeddings, automorphisms, moduli spaces, period maps and domains, rather than a complete reference guide. Moreover, the derived category counterpart of the above theory will also be presented.

For further information about the school please refer to
Olivier Debarre (Université Paris Diderot, France)

5 lectures on:
Fano varieties, Hyperkähler varieties, and their period maps

Alexander Kuznetsov (Russian Academy of Sciences, Moscow, Russia)

5 lectures on:
Derived categories of Fano varieties

Giovanni Mongardi (University of Bologna, Italy)

Assistant to the course:
Fano varieties, Hyperkähler varieties, and their period maps

Alexander Perry (Columbia University, NY, USA)

Assistant to the course:
Derived categories of Fano varieties

The registration fee is 50,00 Euro + VAT taxes*, where applicable (bank charges are not included).
The registration fee includes five fixed menu buffet lunches, coffee breaks, downloadable lecture notes, wi-fi internet access and a complimentary bag.

A limited number of participants can be accommodated at CISM Guest House at the price of 30 Euro per person/night.
Seven single and eight double rooms (to be shared with a colleague) are available, and they will be assigned following the order of reservation requests.

At the following link you can find a list of hotels with special prices for CISM participants:
Booking should be made directly with the hotels.

Applications should be made on-line through our web site:
A message of confirmation will be sent to accepted participants.

Information about travel and accommodation is available on our web site, or can be mailed upon request.

Applicants may cancel their course registration and receive a full refund by notifying CISM Secretariat in writing (by email) no later than two weeks prior to the start of the course.
If cancellation occurs less than two weeks prior to the start of the course, the registration fee will be retained.

* Italian VAT is 22%.