Small workshop at the CIRM

Date duration: March 29 -31, 2011

Topics: Work of K. Kedlaya and T. Mochizuki on the formal structure of meromorphic connections

Organizers: Yves
André, Francesco Baldassarri, Maurizio Cailotto and Claude Sabbah

Contacts:

Registration necessary (before February 25) on the CIRM web page

Good formal structure for meromorphic flat connections on smooth projective surfaces, Algebraic analysis and around, 223-253, Adv. Stud. Pure Math., vol. 54, Math. Soc. Japan, Tokyo, 2009, by T. Mochizuki, arXiv: 0803.1346

List of participants:

Yves André (Paris), Francesco Baldassarri (Padova), Maurizio Cailotto (Padova), Valentina Di Proietto (Padova), Viktoria Heu (Strasbourg), Marco Hien (Augsburg), Ko-Ki Ito (Kyoto), Damien Mégy (Nice), Giovanni Morando (Padova), Andrea Pulita (Montpellier), Claude Sabbah (Palaiseau), Masa-Hiko Saito (Kobe), Laurent Stolovich (Nice).

Program:

Tuesday, March 29

9h30-10h30 Claude Sabbah: Introduction 1: Reminder on results concerning formal meromorphic connections in dimension 1 (without detail, some will be taken up in other talks). Problems in higer dimension, notion of a good formal structure.

11h-12h Claude Sabbah:
Introduction 2: Question concerning the existence of a good formal structure after blowing-up. Existence of a Deligne-Malgrange lattice (after Mochizuki). Applications (without proof): conjecture of Malgrange, Stokes theory, Riemann-Hilbert correspondence, etc.

12h-12h30 Discussion and questions

12h30 Lunch

15h30-16h30 Marco Hien: Article of Mochizuki, 1.

17h-18h Yves André: Introduction to the article of Kedlaya, general strategy.

18h15-19h15 Giovanni Morando: Article of Kedlaya, Section 1 (1).

19h30 Dinner

20h45 Discussion and questions

Wednesday, March 30

9h30-10h30 Marco Hien: Article of Mochizuki, 2.

11h-12h Giovanni Morando: Article of Kedlaya, Section 1 (2).

12h-12h30 Discussion and questions

12h30 Lunch

15h30-16h30 Andrea Pulita: Article of Kedlaya, Section 2 (2.1 to 2.3).

17h-18h Andrea Pulita: Article of Kedlaya, Section 2 (2.5 to 2.7).

18h15-19h15 Valentina Di Proietto: Article of Kedlaya, Section 3 (1).

19h30 Dinner

21h-22h Valentina Di Proietto: Article of Kedlaya, Section 3 (2).

Thursday, March 31

9h30-10h30 Maurizio Cailotto: Article of Kedlaya, Section 4 (4.1-4.2).

11h-12h Maurizio Cailotto: Article of Kedlaya, Section 4 (4.3-4.4 and 4.6).

12h-12h30 Discussion and questions

12h30 Lunch

15h30-16h30 Francesco Baldassarri: Article of Kedlaya, Section 5 (5.1-5.2).

17h-18h Francesco Baldassarri: Article of Kedlaya, Section 5 (5.3-5.4).

18h15-19h15 Claude Sabbah: Article of Kedlaya, Section 6.

19h30 Dinner (bouillabaisse)