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.
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.
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 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.
A New Model for Stable Homotopy - Extending Pontryagin-Thom Construction
Explore a new model for stable homotopy, extending the Pontryagin-Thom construction to the entire stable homotopy category through the lens of bordism theory.
Instantaneous Dimension of Metric Spaces via Spread and Magnitude
Explore how spaces exhibit different dimensions at various scales using spread and magnitude concepts. Learn to quantify this phenomenon and its connections to diverse mathematical areas.
Morita Theory - Interplay Between DG and Weakly Approximable Triangulated Categories
Explores Morita theory for schemes, generalizing Rickard's result beyond affine settings using dg enhancements and weakly approximable triangulated categories, with applications to singularity categories.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 3
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.
Doctrines for Formal Mathematics
Explore formal mathematics through doctrines, examining their applications and implications for mathematical foundations and category theory.
Formalizing Infinity-Category Theory in the Rzk Proof Assistant
Explore the formalization of ∞-category theory using the Rzk proof assistant, delving into advanced mathematical concepts and their computational representations.
Polynomial Functors Formalization Report
Explore the formalization of polynomial functors with Sina Hazratpour, delving into advanced mathematical concepts and their applications in functional programming.
A Categorical Account of the Setoid Model
Explore a categorical perspective on the setoid model, delving into mathematical concepts and their implications in set theory and category theory.
How Mathematics Influences Our Everyday Life - with Eugenia Cheng
Explore how abstract mathematical concepts connect to social justice, current events, and daily life with mathematician Eugenia Cheng, challenging perceptions of math as rigid and inaccessible.
Hypergraph Rewriting as a Foundation for Diagrammatic Calculus
Explore hypergraph rewriting as a computational foundation for diagrammatic calculus, covering various algebraic structures and featuring a Mathematica paclet implementation.
Super Geometry - Fields Institute Lecture 2024
Explore advanced concepts in super geometry with renowned mathematician Ron Donagi, delving into cutting-edge research and applications in mathematical physics.
TQFTs and the Renaissance of the Algebraic Topology of Manifolds
Explore the resurgence of algebraic topology in manifold studies, focusing on Topological Quantum Field Theories and their impact on modern mathematical research.
Group Representations on 2D Topological Quantum Field Theories
Explore group representations in 2D topological quantum field theories, delving into advanced mathematical concepts and their applications in theoretical physics.
Jet Functors in Noncommutative Geometry
Explore jet functors in noncommutative geometry, delving into advanced mathematical concepts and their applications in theoretical physics.
The Central Object in Mathematics: Lattices and Their Connections
Explore the fundamental "lattice" structure in mathematics, its connections to various topics, and its significance in pure mathematics research.