ICTS:31805

Video URL

p-adic Shimura classes and Stark units

p-adic Shimura classes and Stark units

(2025). p-adic Shimura classes and Stark units. SciVideos. https://youtube.com/live/ZpwYNXo8ddM

p-adic Shimura classes and Stark units. SciVideos, May. 28, 2025, https://youtube.com/live/ZpwYNXo8ddM 

          @misc{ scivideos_ICTS:31805,
            doi = {},
            url = {https://youtube.com/live/ZpwYNXo8ddM},
            author = {},
            keywords = {},
            language = {en},
            title = {p-adic Shimura classes and Stark units},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31805 see, \url{https://scivideos.org/index.php/icts-tifr/31805}}
          }
Robin Zhang
Talk numberICTS:31805
Source RepositoryICTS-TIFR

Abstract

The Harris–Venkatesh plus Stark conjecture says that the action of the derived Hecke algebra on weight-1 cusp forms describes Stark units modulo p for all but finitely many primes p. These derived Hecke operators H^0 → H^1 on the cohomology of modular curves are defined by Shimura classes arising from the cover of X_1(p) over X_0(p). I will report on in-progress work to describe p-adic Shimura classes, define derived Hecke operators on completed cohomology, and formulate a similar conjecture for p-adic regulators of Stark units.