ICTS:31813

Video URL

A divisibility towards the Anticyclotomic Main Conjecture for CM fields - I

A divisibility towards the Anticyclotomic Main Conjecture for CM fields - I

(2025). A divisibility towards the Anticyclotomic Main Conjecture for CM fields - I. SciVideos. https://youtube.com/live/IcQJrpum0eA

A divisibility towards the Anticyclotomic Main Conjecture for CM fields - I. SciVideos, May. 18, 2025, https://youtube.com/live/IcQJrpum0eA 

          @misc{ scivideos_ICTS:31813,
            doi = {},
            url = {https://youtube.com/live/IcQJrpum0eA},
            author = {},
            keywords = {},
            language = {en},
            title = {A divisibility towards the Anticyclotomic Main Conjecture for CM fields - I},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31813 see, \url{https://scivideos.org/icts-tifr/31813}}
          }
Jacques Tilouine
Talk numberICTS:31813
Source RepositoryICTS-TIFR

Abstract

In a joint work with H. Hida, we proved in the 90's that the anticyclotomic Katz p-adic L function associated to a p-adic CM type divides the characteristic power series of the Iwasawa module associated to this p-adic CM type. The goal of these two talks is to sketch this proof. Note that we couldn't treat the divisibility at the prime p of the Iwasawa algebra. This has been treated in subsequent works by H. Hida.