Seminar des SFB/TRR 326 GAUS Towards Results on the Anticyclotomic Iwasawa Theory of Modular Forms at Inert Primes via Diagonal Classes
- Friday, 10. January 2025, 13:30 - 14:30
- INF 205, SR A
- Dr. Luca Marannino (IMJ Paris)
Address
INF 205, SR A
Live-stream
Organizer
Prof. Dr. Otmar Venjakob
Event Type
Talk
In this talk we outline an approach to the study of anticyclotomic Iwasawa theory of modular forms when the fixed prime p is inert in the relevant quadratic imaginary field. Following ideas of Castella-Do and Alonso-Castella-Rivero for the "p split" case, one can envisage a construction of an anticyclotomic Euler system arising from a suitable manipulation of diagonal cycles (considered in previous works of Darmon-Rotger and Bertolini-Seveso-Venerucci). We will report on this work in progress, trying to underline the main difficulties arising in the “p inert” setting.