The Magic of Far Reaching Arrows - From Groups to Grupoids
Explore the mathematical journey from groups to grupoids, uncovering the power of far-reaching arrows in abstract algebra and category theory.
Who Would Need Abstract Nonsense?
Explore the concept of abstract nonsense in mathematics and its practical applications with insights from Tomasz Maszczyk of the University of Warsaw.
Introduction to Koszul Duality - Part 2
Explore advanced concepts of Koszul duality, building on previous knowledge and delving into complex mathematical theories and applications.
Diagrammatics in Categories - Lecture 4
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique. Développez votre compréhension des applications dans divers domaines.
Algebraization of Low-Dimensional Topology - Part II
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Diagrammatics in Categories - Lecture 5
Explorez les catégories diagrammatiques en algèbre à travers des exemples concrets et leur formalisme spécifique, en laissant place à la généralisation.
Smooth 2-Groups and Their Principal Bundles
Explore smooth 2-groups and principal bundles in Lie groupoids. Learn about categorical generalizations of groups and their applications in mathematics.
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.
Magnitude and Path Homology
Explore magnitude and path homology concepts with mathematician Sergei Ivanov, delving into homological algebra, algebraic topology, and simplicial homotopy theory.
Structure of Equivariant Derived Categories - ICBS 2024
Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
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.
S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Derived Approach to Highest Weight Categories
Explore highest weight categories in Representation Theory, examining their interpretation through exact categories, abelian envelops, and exceptional collections in derived categories.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Symplectic Topology, Stability Conditions and Quadratic Differentials
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics
Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
Monadic and Comonadic Aspects of Dependency Analysis
Explore monadic and comonadic aspects of dependency analysis, unifying calculi into a framework that addresses limitations of existing approaches and provides novel correctness proofs.