The Spin Brauer Category - Extending Representation Theory
Explore the spin Brauer category, an extension of the Brauer category incorporating spin representation in orthogonal and symplectic group theory, presented by Alistair Savage at IPAM's workshop.
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.
Calabi-Yau Theory in Generalized Kahler Geometry
Explore Calabi-Yau theory's extension to generalized Kahler geometry, examining connections to supergravity and geometric flow approaches for constructing solutions.
Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry
Explore generalized structures on manifolds, focusing on commuting pairs and their integrability. Delve into para-hyper-Hermitian and Born geometry within this context.
The Curse of the Schwarz Lantern - Exploring a Famous Mathematical Counterexample
Explore the Schwarz lantern paradox, a 3D counterexample challenging mathematical intuition. Learn about surface area misconceptions, related concepts, and real-world applications in this engaging video.
Q Series via Box Arithmetic - Math Foundations 239
Explore q-series through innovative "box arithmetic," offering a fresh perspective on algebra, analysis, combinatorics, and number theory with computational advantages and philosophical insights.
From Representation Rigidity to Profinite Rigidity by Alan Reid
Explore rigidity concepts in group theory, from representation to profinite, with applications in geometry and number theory. Gain insights into Zariski-dense subgroups and their implications.
Introduction to Bruhat-Tits Theory - Lecture 1
Comprehensive introduction to Bruhat-Tits theory, exploring its foundations and applications in algebraic groups and number theory. Ideal for advanced mathematics students and researchers.
Random Character Varieties by Emmanuel Breuillard
Explore random character varieties in algebraic groups, focusing on Zariski-dense subgroups and their applications in geometry, topology, and number theory.
On Non-Commensurable Isospectral Locally Symmetric Spaces by C.S. Rajan
Explore non-commensurable isospectral locally symmetric spaces with C.S. Rajan. Delve into advanced mathematical concepts and their applications in geometry and number theory.
Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1
Explore Zariski-dense subgroups, number theory, and geometric applications in this lecture on bounded generation of linear groups and Diophantine approximation.
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.