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Uniform Stability of Higher-rank Lattices - Lecture 2

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Number Theory Courses Cohomology Courses Zariski-dense subgroups Courses

Course Description

Overview

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Explore the second lecture of a mini-course on Uniform Stability of Higher-rank Groups, presented by Alex Lubotzky and Bharatram Rangarajan. Delve into advanced topics related to Zariski dense subgroups, number theory, and their geometric applications as part of a comprehensive program organized by the International Centre for Theoretical Sciences. Gain insights into recent developments in the theory of arithmetic and Zariski-dense subgroups, including applications to algebraic and differential geometry, combinatorics, and other areas. Examine techniques from algebraic and analytic number theory, and learn about their successful application to long-standing problems in mathematics. Discover how these methods have been used to address issues such as fake projective planes, isospectral and length-commensurable locally symmetric spaces, and expanding graphs. Engage with cutting-edge research on bounded generation, stability, and asymptotic cohomology in the context of linear groups.

Syllabus

Mini-course Uniform Stability of Higher-rank .. (Lecture 2) by Alex Lubotzky & Bharatram Rangarajan


Taught by

International Centre for Theoretical Sciences

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