Finite-Dimensional Representations of the Queer Lie Supergroup Q-N
Explore finite-dimensional representations of Q(n), including G-modules, Qn modules, Vera's theorem, and the typical lemma in supergeometry and bracket structures.
Character Varieties of Random Groups
Explore character varieties of random groups, including representation spaces, faithful representations, and hyperbolic groups. Delve into surface groups, random presentations, and boundary limits.
Some Differential Operators on the Modular Curves with Infinite Level at P and Applications
Explore differential operators on modular curves with infinite level at p, their applications, and related concepts in algebraic geometry and number theory.
On a Canonical Construction of Tessellated Surfaces From Finite Groups
Explores a construction linking finite group multiplication tables to tessellated surfaces, discussing properties, group actions, and connections to classical mathematical constructions.
Symmetric Spaces by Pralay Chatterjee
Explore symmetric spaces in this advanced lecture on geometry, groups, and dynamics. Delve into modern research aspects and connect with cutting-edge theories in the field.
Urs Lang - Combinatorial Dimension and Higher-Rank Hyperbolicity
Exploration of (n,δ)-hyperbolicity in metric spaces, its relation to Gromov's δ-hyperbolicity, and applications in geometric group theory and hierarchically hyperbolic groups.
Alexander Dranishnikov - On the LS-Category of Group Homomorphisms
Exploration of LS-category equality for group homomorphisms, discussing proofs for specific group classes and presenting a counterexample for geometrically finite groups.
Vietoris-Rips Complexes and Geometric Group Theory
Explore Vietoris-Rips complexes in geometric group theory, focusing on topological finiteness properties, hyperbolic groups, and recent developments in Morse theory and persistent homology.
Welded Tangles and a Topological Interpretation of the Kashiwara-Vergne Group
Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.
Divergence in Coxeter Groups
Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.
Fundamentals of Lie Groupoids and Algebroids - Lecture Series
Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.
Khajuraho's Magic Square and Hypercube Symmetries - General Seminar
Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I
Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II
Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.
Homotopy Patterns in Group Theory
Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.
Representations of Reductive Groups Over Local Fields
Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.
Theta Correspondence and the Orbit Method
Exploring theta correspondence and orbit method in representation theory, focusing on implications for unitary representations of classical groups and special unipotent representations.
Analysis with Simple Lie Groups and Lattices
Explore advanced mathematical concepts focusing on simple Lie groups and lattices, delving into their analytical properties and applications in modern algebra and geometry.
Groups Acting on Hyperbolic Spaces - A Survey
Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.
Miklós Abert- Groups, Manifolds and Graph Limits
Explore connections between groups, manifolds, and graph limits in mathematics, uncovering fascinating relationships and applications in diverse areas of study.
String Topology of Finite Groups of Lie Type
Explore string topology's role in understanding cohomology of finite Lie-type groups, connecting to loop spaces and algebraic geometry. Gain insights into recent developments in this mathematical field.