Riesz Inequality for Polygons: Symmetry and Symmetry Breaking
Explore counterparts of Hardy-Littlewood and Riesz inequalities for polygons, examining symmetry and symmetry breaking in nonlocal isoperimetric problems.
Eigenvalues and Minimal Surfaces
Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.
Introduction to Circular Orderings - Lecture 2
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Introduction to Circular Orderings - Lecture 3
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 1
Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Gain insights into model theory applications.
Introduction to Order Structures in Groups - Lecture 4
Explore order structures in groups, covering total orders, algebraic structures, and essential tools. Gain insights into open problems and active research areas in the field.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 2
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Introduction to Circular Orderings - Lecture 1
Explore algebraic and combinatorial aspects of circularly-orderable groups, covering definitions, group operations, cohomology, and obstruction spectra. Gain insights through exercises and open problems.
Introduction to Circular Orderings - Lecture 4
Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.
Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 4
Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
Introduction to Order Structures in Groups - Lecture 2
Explore various total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.
Introduction to Order Structures in Groups - Lecture 1
Explore various types of total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.
Aggregation-Diffusion and Kinetic PDEs for Collective Behavior: Applications in Sciences
Explorez les modèles mathématiques de comportement collectif, leurs propriétés et applications en biologie et ingénierie. Découvrez les phénomènes de ségrégation, transitions de phase et consensus.
Acylindricity of the Cremona Group - Part 2
Explore the Cremona group's action on infinite-dimensional hyperbolic space and its acylindrical hyperbolicity, leading to insights on its SQ-universal property and embeddings of countable groups.
Fine Curve Graphs and Fragmentation - Lecture 3
Explore fine curve graphs and their applications in geometric group theory, focusing on fragmentation norms in surface homeomorphism groups and large-scale geometry.
Set Theory and Topological Algebra
Explore applications of set theory and model theory in topological groups, including ultra powers and a new axiom for convergence properties.
The Structure of Homeomorphism Groups - Part I
Explore the rich algebraic structure of homeomorphism groups, their relation to manifold topology, and dynamics of group actions on manifolds.
Helly Graphs and Injective Metric Spaces - Part 2
Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les aspects géométriques et les applications aux groupes mathématiques.
Automorphisms of Groups and Higher Rank JSJ Decomposition
Explore automorphisms of hierarchically hyperbolic groups and a generalized JSJ decomposition, encoding algebraic structure and dynamics of automorphisms in higher rank settings.
Finite Quotients of Fibered, Cusped 3-Manifold Groups
Explore finite quotients of 3-manifold groups, leveraging mapping class group properties to study profinite completions of fibered hyperbolic 3-manifold fundamental groups.