ICTS:31871

Video URL

Greenberg's question for Siegel modular forms

Greenberg's question for Siegel modular forms

(2025). Greenberg's question for Siegel modular forms. SciVideos. https://youtube.com/live/G1HdOG2KSkQ

Greenberg's question for Siegel modular forms. SciVideos, May. 30, 2025, https://youtube.com/live/G1HdOG2KSkQ 

          @misc{ scivideos_ICTS:31871,
            doi = {},
            url = {https://youtube.com/live/G1HdOG2KSkQ},
            author = {},
            keywords = {},
            language = {en},
            title = {Greenberg{\textquoteright}s question for Siegel modular forms},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31871 see, \url{https://scivideos.org/icts-tifr/31871}}
          }
Shaunak Deo
Talk numberICTS:31871
Source RepositoryICTS-TIFR

Abstract

A famous question of Greenberg (which was also formulated independently by Coleman) asks the following:
Suppose p is a prime and f is a p-ordinary modular eigenform of weight at least 2. If the restriction of the p-adic Galois representation attached to f to the local Galois group at p splits into a direct sum of two characters, then does f have complex multiplication?
In this talk, we will explore an analogue of this question in the setting of Siegel modular forms of genus 2.
This talk is based on a joint work in progress with Bharathwaj Palvannan.