Hecke Actions on Loops and Periods of Iterated Shimura Integrals
Explore Hecke actions on loops and periods of iterated Shimura integrals in this advanced number theory seminar by Richard Hain from Duke University.
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.
Things We Can Learn by Looking at Random Manifolds
Explore insights gained from studying random manifolds, covering applications in geometry, topology, and mathematical physics. Uncover connections between diverse mathematical fields.
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.
Property (T) for Automorphism Groups of Free Groups - Lecture 2
Explore Property (T) for automorphism groups of free groups in this advanced mathematics lecture, part of a program on Zariski dense subgroups and their applications in 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.
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.
Linear Representations of the Grothendieck-Teichmuller Group
Explore linear representations of the Grothendieck-Teichmuller group in this advanced mathematics lecture, delving into complex algebraic and geometric concepts.
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.