ICTS:31808

Video URL

Euler systems for conjugate-symplectic motives

Euler systems for conjugate-symplectic motives

(2025). Euler systems for conjugate-symplectic motives. SciVideos. https://youtube.com/live/t4NZOyHnWAg

Euler systems for conjugate-symplectic motives. SciVideos, May. 25, 2025, https://youtube.com/live/t4NZOyHnWAg 

          @misc{ scivideos_ICTS:31808,
            doi = {},
            url = {https://youtube.com/live/t4NZOyHnWAg},
            author = {},
            keywords = {},
            language = {en},
            title = {Euler systems for conjugate-symplectic motives},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31808 see, \url{https://scivideos.org/icts-tifr/31808}}
          }
Daniel Disegni
Talk numberICTS:31808
Source RepositoryICTS-TIFR

Abstract

I will present a construction of anticyclotomic Euler systems, for those Galois representations of a CM field that are conjugate-symplectic, automorphic, and of regular, "balanced" Hodge-Tate type. Its main ingredients are variants of the generating series of special cycles on unitary Shimura varieties studied by Kudla and Liu, and the construction is conditional on a conjecture on their modularity. The relevant notion of Euler system is the one studied by Jetchev-Nekovar-Skinner. Combining with their work and with a height formula obtained with Liu yields (unconditionally) some new cases of the p-adic Beilinson-Bloch-Kato conjecture in analytic rank one.