Pseudo-Reductive Groups by Brian Conrad
Explore pseudo-reductive groups with Brian Conrad, covering definitions, properties, and key theorems in this advanced mathematics lecture on algebraic group theory.
Lower Dimensional Betti Numbers of Homogeneous Spaces of Lie Groups
Exploration of lower dimensional Betti numbers in homogeneous spaces of Lie groups, discussing mathematical techniques and applications in algebraic topology and differential geometry.
The Genus of Division Algebras Over Discrete Valued Fields
Exploration of division algebras over discrete valued fields, focusing on their genus. Covers advanced algebraic concepts and their applications in number theory and field theory.
Property (T) for Fiber and Semidirect Products - Lecture by Arghya Mondal
Explore Property (T) for fiber and semidirect products in this mathematical lecture, delving into advanced concepts in group theory and their applications.
Uniform Stability of Higher-rank Arithmetic Groups - Lecture 1
Explore uniform stability in higher-rank arithmetic groups. Delve into advanced mathematical concepts and their applications in algebraic and differential geometry.
Rigidity and Stiffness of Arithmetic Groups
Explore rigidity and stiffness properties of arithmetic groups, examining recent advancements in Zariski-dense subgroup theory and its applications to geometry and number theory.
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.
On Kissing Number of Hyperbolic Manifolds
Explore hyperbolic manifolds' kissing numbers with Plinio G. P. Murillo. Delve into Zariski dense subgroups, number theory, and geometric applications in this theoretical sciences lecture.
Arithmetic Groups of Higher Real Rank Are Not Left-orderable
Explore the non-left-orderability of arithmetic groups with higher real rank in this mathematical lecture, delving into advanced concepts in group theory and algebraic structures.
CSP and Unipotent Generators for Higher Rank Nonuniform Arithmetic Groups
Exploration of CSP and unipotent generators in higher rank nonuniform arithmetic groups, discussing recent advancements and applications in algebraic and differential geometry.
Hypergeometric Groups and their Arithmeticity
Explore hypergeometric groups and their arithmeticity in this advanced mathematics lecture, delving into Zariski-dense subgroups and their applications in geometry and number theory.
Non-virtually Abelian Discontinuous Group Actions vs Proper SL(2,R)-Actions - Aleksy Tralle
Explore non-virtually Abelian discontinuous group actions and proper SL(2,R)-actions in this advanced mathematics lecture, part of a program on Zariski dense subgroups and geometric applications.
The Systolic Geometry of Arithmetic Locally Symmetric Spaces
Explore systolic geometry of arithmetic locally symmetric spaces, focusing on recent advancements and applications in algebraic and differential geometry, number theory, and related fields.
Introduction to Bruhat-Tits Theory - Lecture 3
Explore Bruhat-Tits theory in algebraic groups with Brian Conrad, focusing on applications to arithmetic, geometry, and number theory in this advanced mathematics lecture.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2
Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.
Introduction to Bruhat-Tits Theory - Lecture 2
Explore Bruhat-Tits theory in this advanced mathematics lecture, focusing on Zariski dense subgroups and their applications in algebraic geometry and number theory.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 3
Explore advanced concepts in linear groups and Diophantine approximation, focusing on bounded generation techniques and their applications in number theory and geometric analysis.
Standard Compact Clifford-Klein Forms and Lie Algebra Decompositions
Explore Lie algebra decompositions and standard compact Clifford-Klein forms in this advanced mathematics lecture, delving into geometric applications of Zariski dense subgroups and number theory.
Uniform Stability of Higher-rank Arithmetic Groups - Lecture 1
Explore uniform stability in higher-rank arithmetic groups with Alex Lubotzky & Bharatram. Delve into advanced mathematical concepts and their applications in this in-depth lecture.
Random Walks on Group Extensions
Explore random walks on group extensions in this advanced mathematics lecture, covering Zariski dense subgroups and their applications in algebraic geometry and number theory.
Hasse Principle for Reductive Groups over P-Adic Function Fields
Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.