Kiran S. Kedlaya (UC San Diego)
A Frobenius structure on a differential equation is an auxiliary structure that occurs when the equation is of "geometric origin" (that is, it occurs as a Picard-Fuchs equation). We'll start with some examples of Dwork, where the Frobenius structure is related to counting points on certain varieties over finite fields. We'll then formulate some general results along these lines, and show how these can be used productively for machine computation of zeta functions.
Duco van Straten (Mainz)
Fernando Rodriguez Villegas (ICTP Trieste)
Rigid local systems: from Goursat to Katz
Organizers: Piotr Achinger (IMPAN), Adrian Langer (University of Warsaw), Masha Vlasenko (IMPAN)
To apply, use the registration form for Varieties: Arithmetic and Transformations available at the program webpage and indicate that you intend to come for the school.
Deadline: June 1.
We shall inform you shortly afterwards about the results of your application. Please note that due to limited space at the venue, preference will be given to young researchers and people attending the VAT semester for a longer period. Graduate students, postdocs and other researchers with inadequate support from their home institutions may apply for accomodation cost waiver.
All inquiries should be directed to Piotr Achinger, pachinger [at] impan [dot] pl.
Sponsors: Simons Foundation, Banach Center, University of WarsawSeptember Schools Homepage