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.
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.
From Braid Groups to Artin Groups - Lecture 1
Explore Artin groups, including braid groups and free groups. Discover algebraic and geometric characterizations, current knowledge, and new approaches to challenging problems in this field.
Subgroups of Hyperbolic Groups, Finiteness Properties and Complex Hyperbolic Lattices
Explore finiteness properties of subgroups in hyperbolic groups and complex hyperbolic lattices, focusing on cocompact arithmetic lattices with positive first Betti number.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category 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.
A Quantitative Neumann Lemma for Finitely Generated Groups - Measured Group Theory
Explore coset covering functions in infinite, finitely generated groups. Discover lower bounds, linear growth in amenable groups, and exponential behavior in property (T) groups.
Monoidal Triangular Geometry with Applications to Representation Theory
Explorez la géométrie triangulaire monoïdale et ses applications à la théorie des représentations, en mettant l'accent sur les algèbres de Hopf de dimension finie et les catégories tensorielles finies.
Helly Graphs and Injective Metric Spaces - Lecture 4
Explore Helly graphs and injective metric spaces, focusing on nonpositive features, local properties, and geometric group applications in this advanced mathematical lecture.
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.
Helly Graphs and Injective Metric Spaces - Part 3
Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les caractéristiques non positives et les applications géométriques.
Profinite Rigidity, Triangle Groups, and Seifert Fibred Spaces
Explore profinite rigidity in 3-manifold groups, examining unique determination by finite images and distinctions between finitely presented and generated groups.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology
Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
Towards a Mod p Langlands Correspondence for GL2
Explore the mod $p$ Langlands correspondence for $\mathrm{GL}_2(K)$, examining conjectures and recent progress in this open area of mathematical research.
Progression-Free Sets in Arithmetic Sequences
Explore lower and upper bounds for progression-free sets in $\mathbb{Z}_m^n$, examining the polynomial method's application to $r_k(\mathbb{Z}_m^n)$ and related problems.
Frobenius写像の周辺 - 第2回
Delve into advanced mathematical concepts of Frobenius mappings, finite fields, and Witt vectors through an accessible exploration of number theory fundamentals and polynomial rings.
תורת גלואה - עבר ועתיד
חקור את תורת גלואה, התפתחותה ההיסטורית והשלכותיה העתידיות בתחום המתמטיקה המתקדמת.
חשבון דיפרנציאלי על מרחבים לא שגרתיים
חקור חשבון דיפרנציאלי במרחבים לא שגרתיים עם פרופ' יעל קרשון, המציגה תובנות מתקדמות בתחום המתמטיקה המופשטת.
Graded and Filtered K-Theory for Leavitt Path Algebras
Explore graded and filtered K-theory applications to Leavitt path algebras in this advanced mathematical seminar by Huanhuan Li.
Cluster Nature of Quantum Groups
Explore quantum groups through a rigid cluster model, discovering natural Hopf algebra isomorphisms and a cluster canonical basis with unique invariance properties.