ICTS:31879

Video URL

Lectures on the local epsilon conjecture - III

Lectures on the local epsilon conjecture - III

(2025). Lectures on the local epsilon conjecture - III. SciVideos. https://youtube.com/live/qqrWuiFxEdI

Lectures on the local epsilon conjecture - III. SciVideos, May. 21, 2025, https://youtube.com/live/qqrWuiFxEdI 

          @misc{ scivideos_ICTS:31879,
            doi = {},
            url = {https://youtube.com/live/qqrWuiFxEdI},
            author = {},
            keywords = {},
            language = {en},
            title = {Lectures on the local epsilon conjecture - III},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31879 see, \url{https://scivideos.org/icts-tifr/31879}}
          }
Kentaro Nakamura
Talk numberICTS:31879
Source RepositoryICTS-TIFR

Abstract

The local epsilon conjecture is one of a series of Kato's conjectures on a generalization of the Iwasawa main conjecture to general families of p-adic Galois representations. It gives a precise description of a p-adic variation of the p-adic Hodge theoretic invariants, like local (L-, and epsilon) factors, Bloch-Kato's cohomologies, and Hodge-Tate weights which are only defined for de Rham representations, in p-adic families of local p-adic Galois representations. In my lectures, I will explain the formulation of this conjecture, the proof of the conjecture for the rank two case using the p-adic Langlands for GL_2(Q_p), and it's application to a generalization of Rubin's local sign decomposition conjecure.