ICTS:30470

Video URL

Bounded Factorizations for Matrix Groups over Rings, and Applications to Holomorphic Matrices.

Bounded Factorizations for Matrix Groups over Rings, and Applications to Holomorphic Matrices.

(2024). Bounded Factorizations for Matrix Groups over Rings, and Applications to Holomorphic Matrices.. SciVideos. https://youtube.com/live/rX4hpXRIxKc

Bounded Factorizations for Matrix Groups over Rings, and Applications to Holomorphic Matrices.. SciVideos, Dec. 09, 2024, https://youtube.com/live/rX4hpXRIxKc 

          @misc{ scivideos_ICTS:30470,
            doi = {},
            url = {https://youtube.com/live/rX4hpXRIxKc},
            author = {},
            keywords = {},
            language = {en},
            title = {Bounded Factorizations for Matrix Groups over Rings, and Applications to Holomorphic Matrices.},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30470 see, \url{https://scivideos.org/index.php/icts-tifr/30470}}
          }
B Sury
Talk numberICTS:30470
Source RepositoryICTS-TIFR
Collection

Abstract

This is an expository talk on some combinatorial aspects of matrix groups over rings. We first discuss results on different types of bounded factorizations of elementary Chevalley groups over certain commutative rings. These rings include local rings, finite fields, rings of matrix-valued holomorphic maps on Stein spaces as well as number rings. The results are intimately related to deep properties such as the congruence subgroup property and Kazhdan’s property T among other things. We also briefly mention growth functions which arise naturally, whose analytic information encodes group theoretic information.