TUESDAY
9:30-10: Registration
10-11: Talk 1
11-11:30: Coffee break
11:30-12:30: Talk 2
15-16: Talk 3
16-16:30: Coffee break
16:30-17:30: Talk 4
WEDNESDAY
10-11: Talk 5
11-11:30: Coffee break
11:30-12:30: Talk 6
15-16: Talk 7
16-16:30: Coffee break
16:30-17:30: Talk 8
THURSDAY
10-11: Talk 9
11-11:30: Coffee break
11:30-12:30: Talk 10
15-16: Talk 11
16-16:30: Coffee break
16:30-17:30: Talk 12
20: Social dinner
FRIDAY
10-11: Talk 13
11-11:30: Coffee break
11:30-12:30: Talk 14
Ignacio Barros: TBA
Jose Ignacio Burgos: TBA
Sebastian Casalaina-Martin: TBA
Francesc Fité: TBA
Olivier de Gaay Fortman: Powers of abelian varieties over the algebraic closure of ℚ(t) not isogenous to a Jacobian
We prove the existence of abelian varieties which admit no power isogenous to a Jacobian and which are defined over the algebraic closure of the function field in one variable over the rationals. This is joint work with Ananth Shankar.
Gerard van der Geer: TBA
Sam Grushevsky: TBA
Aitor Iribar López: TBA
Thomas Krämer: TBA
Eyal Markman: TBA
Ben Moonen: Bézout's theorem for abelian varieties
I'll report on joint work with Olivier Debarre. The main result is that if A is an absolutely simple abelian variety over some field and X1,..., Xr are subvarieties of A, then the dimension of their sum X1 + ... + Xr equals the minimum of dim(A) and Σ dim(Xi). In characteristic 0, there is a simple geometric proof for this, but that argument breaks down in characteristic p. Instead, we prove this result as a consequence of a theorem on perverse sheaves, building upon work of Krämer and Weissauer.
Angela Ortega: A family of simple Jacobians with many automorphisms and applications to the Prym map
We consider a (2g-1)-dimensional family of Jacobians of dimension (d-1)(g-1)/2 arising as quotient of curves of unramified cyclic coverings of prime degree d > 2 over hyperelliptic curves of genus g. We prove that the generic element in this family is simple by means of a deformation argument and describe completely its endomorphism algebra.
This result is used to show that the Prym map corresponding to the cyclic covering of prime degree d is generically injective under some mild numerical restrictions on d and g. This is a joint work with J.C. Naranjo, G.P. Pirola and I. Spelta.
Finally, I will mention recent results on the injectivity of the Prym map for the non-prime cyclic coverings over hyperelliptic curves obtained in a joint work with P. Borówka, J.C. Naranjo and A. Shatsila.
Irene Spelta: TBA
Alessandro Verra: TBA