Functoriality and Sheaf Property for Wrapped Fukaya Categories
Explore functorial and sheaf-theoretic properties of wrapped Fukaya categories, surveying key results and insights in this advanced mathematical topic.
Elliptic Cohomology and Enumerative Geometry
Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.
Measure Rigidity Beyond Homogeneous Dynamics
Explore measure and topological rigidity in dynamical systems beyond homogeneous spaces, examining conditions for rigidity properties on manifolds.
Magnitude and Path Homology
Explore magnitude and path homology concepts with mathematician Sergei Ivanov, delving into homological algebra, algebraic topology, and simplicial homotopy theory.
Quantitative Cobordism - Exploring Topology and Geometry
Explore quantitative cobordism in topology, focusing on non-constructive existence proofs and connections to geometry. Delve into Manin's principle, Cheeger-Gromov heuristic, and manifold constructions.
Homotopy Groups of Spheres - Computation Methods and Recent Progress
Explore homotopy groups of spheres, their computational methods, and recent advancements in topology using motivic homotopy theory and related techniques.
Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview
Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.
The Local Langlands Program and Characteristic p
Explore the local Langlands program for GLn, focusing on representations in characteristic p and recent developments for GL2(K) in p-adic number theory.
Point Counting over Finite Fields and the Cohomology of Moduli Spaces of Curves
Explore algebraic geometry through point counting over finite fields and cohomology of moduli spaces of curves, resolving longstanding questions and confirming Langlands program predictions.
Finite Quotients of Generic Free-by-Cyclic Groups
Explorez les groupes libres-par-cycliques et leurs quotients finis. Découvrez les résultats récents sur la distinction de ces groupes par leurs quotients finis dans le cadre de la géométrie combinatoire.
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.
CAT(0) Cube Complexes - Lecture 3
Explore CAT(0) cube complexes, their properties, and applications in geometric group theory through an introductory minicourse.
CAT(0) Cube Complexes - Lecture 4
Explore advanced concepts in CAT(0) cube complexes, delving into geometric and combinatorial properties of these mathematical structures.
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.