Categorification of Donaldson-Thomas Invariants
Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.
A∞-Categories
Explore A∞-categories in mathematics with Rafael Bocklandt's comprehensive lecture, delving into advanced concepts in representation theory and algebra.
Exact ∞-Categories
Explore exact ∞-categories with Gustavo Jasso in this advanced mathematical lecture, delving into current trends in representation theory and cluster algebras.
Prospects for Spectral Mirror Symmetry
Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.
Counting in Calabi-Yau Categories
Explore advanced concepts in homotopy cardinality, Calabi-Yau structures, and Hall algebras for pre-triangulated dg-categories, with applications to Legendrian knot theory.
Derived Deformation Theory - Lecture 4
Explore advanced concepts in derived deformation theory through Barbara Fantechi's fourth lecture in this mathematical series.
Derived Deformation Theory - Lecture 3
Explore advanced concepts in derived deformation theory, focusing on key principles and applications in higher structures in geometry and mathematical physics.
Derived Deformation Theory - Lecture 2
Explore advanced concepts in derived deformation theory, building on previous knowledge and delving into complex mathematical principles.
Derived Deformation Theory - Lecture 1
Explore derived deformation theory with Barbara Fantechi in this advanced mathematics lecture from CIRM's Audiovisual Mathematics Library.
Stable Cohomology of Automorphism Groups of Free Groups
Explore stable cohomology of automorphism groups of free groups. Delve into advanced mathematical concepts with expert Christine Vespa in this in-depth conference talk.
A Survey of Mackey and Green 2-Functors
Explore Mackey and Green 2-functors in mathematics through an expert survey, gaining insights into chromatic homotopy and K-theory concepts.
Equivariant Derived Category of a Reductive Group as a Categorical Center
Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.
Twisted K-theory in Motivic Homotopy Theory
Explore algebraic K-theory of vector bundles twisted by Brauer class, its role in motivic homotopy theory, and a new approach to the motivic spectral sequence for twisted K-theory.
Prismatic Cohomology Relative Delta-Rings
Explore prismatic cohomology's evolution, comparing absolute and relative variants, and delve into a new generalization bridging the two approaches.
Localizing Invariants and Algebraic K-theory - Lecture 3
Explore localizing invariants in algebraic K-theory, including Thomason's insights, descent properties, and recent developments in the field.
Localizing Invariants and Algebraic K-theory - Part 1
Explore localizing invariants in algebraic K-theory, from classical foundations to recent developments, with emphasis on descent properties and applications.
Analytic Stacks - New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.
Analytic Stacks - Lecture 6
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.
Analytic Stacks - Lecture 5
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.
Derived Categories of Permutahedral Varieties Through Matroids
Explore derived categories of permutahedral varieties using matroid theory, uncovering connections between algebraic geometry and combinatorics.
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.