Sum of Squares, Positivity and Property (T) - Lecture 1
Explore sum of squares, positivity, and Property (T) in this lecture by Marek Kaluba. Gain insights into advanced mathematical concepts and their applications in group theory and geometry.
The Existence Problem of Compact Quotients of Pseudo-Riemannian Homogeneous Spaces
Explore the existence of compact quotients in pseudo-Riemannian homogeneous spaces, delving into advanced geometric concepts and their applications in mathematical physics and topology.
Thin Orbits and Applications
Explore thin orbits in number theory and their geometric applications with Alex Kontorovich. Gain insights into Zariski-dense subgroups and their impact on various mathematical fields.
Minicourse: Uniform Stability of Higher-rank Arithmetic Groups - Lecture 3
Explore uniform stability in higher-rank arithmetic groups. Delve into advanced mathematical concepts, focusing on Zariski dense subgroups and their applications in geometry and number theory.
On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated
Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.
Uniform Stability of Higher-rank Lattices - Lecture 2
Explore uniform stability in higher-rank arithmetic groups, focusing on advanced mathematical concepts and their applications in group theory and geometry.
Introduction to Bruhat-Tits Theory - Lecture 1
Comprehensive introduction to Bruhat-Tits theory, exploring its foundations and applications in algebraic groups and number theory. Ideal for advanced mathematics students and researchers.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1
Explore Zariski-dense subgroups, number theory, and geometric applications in this lecture on bounded generation of linear groups and Diophantine approximation.
Discrete Subgroups with Finite Bowen-Margulis-Sullivan Measure in Higher Rank - Part 1
Explore discrete subgroups with finite Bowen-Margulis-Sullivan measure in higher rank semisimple real algebraic groups, including classification and applications to L^2 spectrum.