ICTS:30474

Video URL

A construction of irreducible representations of GL_3(O)

A construction of irreducible representations of GL_3(O)

(2024). A construction of irreducible representations of GL_3(O). SciVideos. https://youtube.com/live/xemyKiuo-5U

A construction of irreducible representations of GL_3(O). SciVideos, Dec. 10, 2024, https://youtube.com/live/xemyKiuo-5U 

          @misc{ scivideos_ICTS:30474,
            doi = {},
            url = {https://youtube.com/live/xemyKiuo-5U},
            author = {},
            keywords = {},
            language = {en},
            title = {A construction of irreducible representations of GL_3(O)},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30474 see, \url{https://scivideos.org/index.php/icts-tifr/30474}}
          }
Pooja Singla
Talk numberICTS:30474
Source RepositoryICTS-TIFR
Collection

Abstract

Let F be a non-Archimedean local field F with ring of integers O and a finite residue field k of characteristic greater than three. While the representations of finite groups of Lie type GL_n(k) and of the p-adic groups GL_n(F) are well studied, the representations of GL_n(O) remain far less understood.

In this talk, we will explore the challenges involved in constructing the complex irreducible representations of GL_n(O), highlighting key differences from the case of GL_n(k). We will then present a method for constructing irreducible representations of GL_3(O). This is based on a recent joint work with Uri Onn and Amritanshu Prasad.