Joint IAS/PU Arithmetic Geometry

Frobenius Lifting and a Geometric Theory of Companion Forms

We describe the obstruction to lift Frobenius on certain Shimura varieties and apply this to the theory of companion forms for classical modular forms (Gross, Coleman-Voloch, Faltings-Jordan) and also in higher dimension.

Date & Time

December 08, 2025 | 3:30pm – 4:30pm
Add to calendar 12/08/2025 15:30 12/08/2025 16:30 Joint IAS/PU Arithmetic Geometry use-title Topic: Frobenius Lifting and a Geometric Theory of Companion Forms Speakers: Vincent Pilloni, Université Paris-Saclay More: https://www.ias.edu/math/events/joint-iaspu-arithmetic-geometry-33 We describe the obstruction to lift Frobenius on certain Shimura varieties and apply this to the theory of companion forms for classical modular forms (Gross, Coleman-Voloch, Faltings-Jordan) and also in higher dimension. Simonyi 101 and Remote Access a7a99c3d46944b65a08073518d638c23

Location

Simonyi 101 and Remote Access

Speakers

Vincent Pilloni, Université Paris-Saclay

Event Series

Categories

Notes

Zoom Meeting ID: 842 7792 2534
Password hint: The Grothendieck prime in binary