#Fano #hyperkähler #birational #MMP #arithmetic_geometry #Dijon_is_beautiful
Hamid Abban — Nottingham, England
Jefferson Baudin — Lausanne, Switzerland
Marta Benozzo — Orsay, France
Fabio Bernasconi — Rome, Italy
Pietro Beri — Nancy, France
Mattia Cavicchi — Dijon, France
Francesco Denisi — Saarbrucken, Germany
Andrea Fanelli — Bordeaux, France
Pascal Fong — Hannover, Germany
Lyalya Guseva — Moscow, Russia
Daniela Paiva — Basel, Switzerland
Antoine Pinardin — Basel, Switzerland
Claudia Stadlmayr — Neuchâtel, Switzerland
Nikolaos Tsakanikas — Lausanne, Switzerland
Vanja Zuliani — Orsay, France
Aline Zanardini — Lausanne, Switzerland
Limited funding is available for early career researchers. If you plan to apply for funding, please register by March 20. You will hear back from us by April 1 (no joke).
Otherwise, the registration deadline is April 17.
Jefferson Baudin
A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
A useful vanishing theorem for understanding characteristic zero singularities is Grauert-Riemenschneider vanishing, which asserts that if f: Y -> X is a projective birational morphism and Y is smooth, then higher pushfowards of the sheaf of top differential forms vanish. A remarkable consequence of this result is that characteristic zero klt singularities are rational.
Unfortunately, this vanishing theorem is known to fail in positive characteristic. In this talk, we will explain how to prove a weakening of this vanishing theorem using Witt differential forms, and discuss consequences on the rationality of certain singularities in positive characteristic.
Marta Benozzo
Some hypersurface singularities over the p-adic integers
Even when trying to classify smooth varieties, it is natural to stumble upon singular varieties. Recently, there has been a lot of progress in the classification of varieties over fields of positive characteristics and over mixed characteristic DVR's like Z_p. This has been possible partly thanks to the introduction of notions of singularities related to Frobenius splittings and perfectoid methods, respectively. Given a hypersurface in a projective space over the complex numbers, we can measure how singular it is with an invariant called the ''log canonical threshold''. Similarly, in positive characteristic, we can define the ''F-pure threshold'' and in mixed characteristic the ''plus-pure threshold''. In this talk, we will explore some examples of how to compute the plus-pure threshold and how this relates to the invariants in positive characteristic and in characteristic 0. This is based on joint work with V. Jagathese, V. Pandey, P. Ramírez-Moreno, K. Schwede, P. Sridhar.
Antoine Pinardin
Finite simple subgroups of the real Cremona group of rank three
Very little is known about the classification of finite subgroups of Cremona in dimension three. It is natural to start with the case of simple groups, and this step was achieved by Prokhorov in 2009 over the field of complex numbers. In the work I will present, we show that the only non-cyclic finite simple subgroups of the real Cremona group of rank three are A5 and A6. This is a joint project with I. Cheltsov and Y. Prokhorov.
