Algebraic Curves and Minimal Surfaces
Explore algebraic curves and minimal surfaces with Prof. Sebastian Heller, delving into Riemann surfaces, harmonic maps, and experimental mathematics.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 1
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Critical Metrics of Eigenvalue Functionals via Subdifferential
Explore critical metrics of eigenvalue functionals using subdifferential, covering Laplace and Steklov eigenvalues and offering new perspectives on Riemannian geometry.
Large Steklov Eigenvalues Under Geometric Constraints
Explore large Steklov eigenvalues in compact Riemannian manifolds, examining geometric constraints and constructing metrics with fixed volume and boundary conditions.
Commanding Subgroups in Graph Covers and Quasi-Isometric Rigidity - Lecture
Explore finite covers of graphs of spaces/groups, focusing on commanding subgroups in virtually special cubulated groups. Apply concepts to quasi-isometric rigidity.
CAT(0) Cube Complexes - Lecture 3
Explore CAT(0) cube complexes, their properties, and applications in geometric group theory through an introductory minicourse.
Notions of Nonpositive Curvature and Groups - Lecture 3
Explore combinatorial and geometric methods in group theory, focusing on small cancellation theory, systolic complexes, and quadric complexes. Discover applications to study groups and unify nonpositively curved spaces.
CAT(0) Cube Complexes - Lecture 4
Explore advanced concepts in CAT(0) cube complexes, delving into geometric and combinatorial properties of these mathematical structures.
Notions of Nonpositive Curvature and Groups - Lecture 4
Explore advanced concepts in nonpositive curvature and group theory, focusing on combinatorial and geometric methods, small cancellation theory, and applications to systolic and quadric complexes.
Hyperbolicity from Walls - Group Actions on Hyperbolic Spaces
Explore hyperbolicity in group theory through actions on hyperbolic spaces. Learn about Sageev's construction and its applications in mathematical research.
Finitely Generated Normal Subgroups of RAAGs
Explore finitely generated normal subgroups of Right-Angled Artin Groups (RAAGs) in this mathematical deep dive into CAT(0) cube complexes.
Effective Rank-Rigidity in CAT(0) Cube Complexes
Explore CAT(0) cube complexes and rank-rigidity, examining uniform flipping and skewering techniques to determine group actions and geometric properties.
An Invitation to the Lifting Decomposition in CAT(0) Cube Complexes
Explorez la décomposition de levage dans les complexes cubiques CAT(0), ses applications et connexions avec diverses frontières, offrant de nouvelles perspectives en géométrie combinatoire.
Ascending Chains of Free Groups in 3-Manifold Groups
Explore ascending chains of free groups in 3-manifold groups, examining proofs and techniques involving hyperbolic geometry, geometrization, and JSJ decompositions.
Dense Embeddings of Hyperbolic Manifold Groups
Explore dense embeddings of hyperbolic manifold groups, focusing on amalgamated products and linear Lie groups. Learn strategies to control properties of output embeddings.
Geometrization and its Consequences in 3-Manifold Topology - Lecture 4
Explore hyperbolic geometry's role in 3-manifold topology, including Thurston's viewpoint and Perelman's theorem. Discover algorithmic and group-theoretic applications in computational experiments.
Profinite Properties of Finite-Volume Hyperbolic 3-Manifold Groups
Explore profinite rigidity of finite-volume hyperbolic 3-manifold groups, examining volume, invariant trace fields, and arithmeticity as profinite invariants in geometric topology.
A Combinatorial Characterization of Geometric 3-Manifolds - Lecture
Explore geometric 3-manifolds through combinatorial characterization, focusing on Thurston geometries and their local combinatorial definitions. Learn about new algorithms for geometric decomposition.
3-Manifold Groups and Fundamental Group Conjectures - Part II
Explorez les conditions conjecturales impliquant qu'un groupe est le groupe fondamental d'une 3-variété compacte, en examinant les conjectures de Cannon et Wall et leurs interconnexions.