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Hypergeometric Groups and their Arithmeticity

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Algebraic Geometry Courses Number Theory Courses Combinatorics Courses Differential Geometry Courses Zariski-dense subgroups Courses Bruhat-Tits Theory Courses

Course Description

Overview

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Explore the concept of hypergeometric groups and their arithmeticity in this 59-minute lecture by Sandip Singh. Delve into the theory of arithmetic and Zariski-dense subgroups, examining recent progress and applications in algebraic and differential geometry, combinatorics, and related fields. Learn about techniques used to investigate Zariski-dense subgroups, with emphasis on methods from algebraic and analytic number theory. Discover how these approaches have been applied to solve long-standing problems in mathematics and physics. Gain insights into topics such as bounded generation, stability, asymptotic cohomology, and new approaches to Bruhat-Tits theory. Understand the connections between these concepts and their implications for isospectral locally symmetric spaces, pseudo-Riemannian geometry, and the classification of compact space forms.

Syllabus

Hypergeometric Groups and their Arithmeticity by Sandip Singh


Taught by

International Centre for Theoretical Sciences

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