The Delannoy Category - Symmetric Tensor Categories and Representation Theory
Explore the Delannoy Category in symmetric tensor theory, featuring classification of simple objects, tensor product rules, and a combinatorial model using Delannoy paths.
A Braided Monoidal 2-Category via Soergel Bimodules
Explore braided monoidal 2-categories through Soergel bimodules, examining quantum group representations and categorification in relation to Hecke algebras and quantum link invariants.
The Nil-Brauer Category - Categorification and Applications
Exploration of the nil-Brauer category, its relation to quantum groups, and applications in categorification and Soergel bimodules, presented by Jonathan Brundan at IPAM's workshop.
Low Rank Symmetric Fusion Categories in Positive Characteristic
Explore classification of symmetric fusion categories in positive characteristic, focusing on low-rank cases and the second Adams operation's role in obtaining classification results.
Tannakian Radical and Mantle of a Braided Fusion Category
Explore Tannakian radical and mantle concepts in braided fusion categories, their properties, and applications in classification theory with mathematician Dmitri Nikshych.
The Extended Freudenthal Magic Square via Tensor Categories
Explore unital composition superalgebras and their connection to the Extended Freudenthal Magic Square in characteristic 3, using symmetric tensor categories and representation theory.
Support Varieties for Lie Superalgebras - Lecture 1
Explore support varieties for Lie superalgebras in positive characteristic, examining their use in studying non-semisimple tensor categories and addressing open questions in this 40+ year research area.
Support Variety Theory for Algebraic Supergroups
Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.
Polynomial Superfunctors - Applications to Finite Supergroup Schemes
Explore polynomial superfunctors and their applications in finite supergroup schemes. Gain insights into cohomology calculations and recent developments in representation theory.
Tannakian Formalism for Stacks
Explores Tannakian formalism for stacks, discussing representation categories of affine group schemes and characterizing symmetric monoidal Grothendieck categories equivalent to quasi-coherent sheaves on stacks.
Representations of General Linear Groups in the Verlinde Category
Exploration of representations of general linear groups in the Verlinde category, discussing known aspects, highest weight structure, and open questions in this area of symmetric tensor categories.
Growth in Tensor Powers - Representation Theory
Explores growth patterns in tensor powers of group representations, introducing a new invariant and its properties using tensor category theory.
Growth and Tensor Products in Representation Theory - Lecture 1
Explore asymptotic counting of summands in tensor products of representations, with numerous examples to illustrate concepts in symmetric tensor categories and representation theory.
Symmetric Tensor Categories of Moderate Growth
Explore symmetric tensor categories in positive characteristic fields, recent breakthroughs, and collaborative research findings in this advanced mathematics lecture.
Higgs Bundles, Convex Cocompact Subgroups of SU(1,n), and Slodowy Slices
Explore Higgs bundles, SU(1,n) subgroups, and Slodowy slices. Discover connections between stable Higgs bundles and holonomy groups, focusing on SU(1,n) representations and complex hyperbolic manifolds.
Positivity and Higher Teichmüller Spaces
Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.
New Developments Related to Quasisymmetric Functions
Explore cutting-edge advancements in quasisymmetric functions, delving into their applications and implications in modern mathematics and related fields.
Commutative Algebra to Representation Theory Through the Combinatorics of Filtered RSK
Explore connections between commutative algebra and representation theory via combinatorial analysis of filtered Robinson-Schensted-Knuth algorithm.
Property(T), Median Spaces and CAT(0) Cubical Complexes - Lecture 3
Explore Property(T), median spaces, and CAT(0) cubical complexes in this advanced geometric group theory lecture by Indira Chatterji, part of a workshop on cutting-edge research topics.
On the Mukai Conjecture and the Kostant Game
Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.
Multiple Horn Problem in Hamiltonian Geometry
Explore the intricacies of the Multiple Horn problem in this mathematical lecture by Anton Alekseev, delving into advanced concepts in Hamiltonian geometry.