Substitutions in Non-Commutative Multivariate Power Series
Explore group laws on non-commutative formal power series, their structures, and applications in non-commutative probability theory through a Hopf algebraic approach.
Universal K-matrix and Fused K-operators in Quantum Affine Algebras
Explore universal K-matrices and fused K-operators in quantum algebras. Delve into the construction of transfer matrices and their applications to open spin-chains.
Prequels and Possible Sequels to Topological Recursion
Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.
Pachner's 3-3 Relations and Hopf Algebras
Explore Pachner's 3-3 relations and their connections to Hopf algebras in quantum topology, delving into advanced mathematical concepts and their applications.
Hopf-Brauer-Severi Varieties
Explore Hopf Brauer Severi varieties with Professor Ludmil Katzarkov, delving into advanced algebraic geometry concepts and their applications in mathematics.
Induced Functors on Drinfeld Centers via Monoidal Adjunctions
Explore induced functors on Drinfeld centers through monoidal adjunctions, examining their compatibility with braiding and preservation of commutative objects in tensor categories.
Introduction to Non-Commutative Geometry - Lecture 3
Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
The Galois Group of the Category of Mixed Hodge-Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.
The Ubiquity of Hopf Algebras
Explore the pervasive nature of Hopf algebras, from historical context to practical applications in algebra and beyond. Gain insights into their structure and significance.
C*-Algebras of Classical and Quantum Groupoids - Part II
Explore advanced concepts in C*-algebras, focusing on classical and quantum groupoids. Delve into theoretical foundations and applications in mathematical physics.
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.
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.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4
Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1
Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.
Infinitesimal Braidings and Pre-Cartier Bialgebras
Explore infinitesimal braidings and pre-Cartier bialgebras in this advanced mathematical physics seminar, delving into complex algebraic structures and their applications.
Braided Quantum Field Theory
Explore braided quantum field theories, their construction using braided homotopy algebras, and their potential to mitigate UV/IR mixing in noncommutative field theories.
Mathematical Structures in Generative Linguistics
Explore mathematical structures in generative linguistics, from formal languages to Hopf algebras and geometric spaces for modeling semantics and syntactic variation across languages.
Compact and Discrete Quantum Groups
Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.
Hopf Algebras in the Cohomology of A_g
Delve into advanced mathematical concepts exploring Hopf algebras and their role in cohomology of A_g, examining fundamental relationships in algebraic geometry and combinatorial physics.