The Existence Problem of Compact Quotients of Pseudo-Riemannian Homogeneous Spaces
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the intricacies of compact quotients in pseudo-Riemannian geometry through this lecture by Yosuke Morita. Delve into the existence problem of compact quotients of pseudo-Riemannian homogeneous spaces, a topic that bridges differential geometry, Lie theory, and number theory. Gain insights into the challenges and recent developments in this area, which is part of a broader program on Zariski dense subgroups and their applications in geometry and number theory. Learn about the techniques used to investigate these spaces, including methods from algebraic and analytic number theory, and understand their relevance to other areas of mathematics such as algebraic geometry and mathematical physics.
Syllabus
The Existence Problem of Compact Quotients of Pseudo-Riemannian Homogeneous Spaces by Yosuke Morita
Taught by
International Centre for Theoretical Sciences
Related Courses
Introduction to Algebraic Geometry and Commutative AlgebraIndian Institute of Science Bangalore via Swayam Introduction to Algebraic Geometry and Commutative Algebra
NPTEL via YouTube Basic Algebraic Geometry - Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity
NPTEL via YouTube Basic Algebraic Geometry
NIOS via YouTube Affine and Projective Geometry, and the Problem of Lines
Insights into Mathematics via YouTube