Modular Perverse Sheaves on the Affine Flag Variety
Explore geometric representation theory, focusing on categorical realizations of the affine Hecke algebra and the challenge of relating constructible and coherent sheaves through category equivalence in modular cases.
Soergel Bimodules and the Carlsson-Mellit Algebra
Explores categorical analogues of symmetric functions, focusing on Soergel bimodules and their connection to the Carlsson-Mellit algebra action in algebraic topology and representation theory.
A Categorified Double Centraliser Theorem and Applications to Soergel Bimodules
Explore advanced representation theory concepts, including categorified double centraliser theorem and its applications to Soergel bimodules in finite Coxeter type and characteristic zero.
Monica Vazirani- Representations of the Affine BMW Category
Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.
Tautological p-Kazhdan-Lusztig Theory for Cyclotomic Hecke Algebras
Explores isomorphism between quiver Hecke algebras and diagrammatic endomorphism algebras, proving equality of decomposition numbers and p-Kazhdan-Lusztig polynomials for cyclotomic Hecke algebras.
Felix Klein Lectures 2020: Quiver Moduli and Applications
Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
Quiver Moduli and Applications
Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.
Felix Klein Lectures 2020: Quiver Moduli and Applications
Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.
Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating
Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.
TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.
Felix Klein Lectures 2020 - Quiver Moduli and Applications
Explore quiver moduli spaces' construction, topology, and geometry, with focus on cohomology and applications to Gromov-Witten and Donaldson-Thomas theories via wall-crossing.
Felix Klein Lectures 2020- Quiver Moduli and Applications
Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.
Homological Mirror Symmetry for Not-So-Simple Singularities - Yanki Lekili
Explore homological mirror symmetry for invertible polynomials' Milnor fibers, focusing on explicit conjectures and proofs for simple and not-so-simple singularities.
Perverse Sheaves and Schobers on Riemann Surfaces - Tobias Dyckerhoff
Explore derived constructible categories on stratified Riemann surfaces, t-structures, Verdier duality, and categorified perverse sheaves with applications in algebraic geometry and topology.
From Hall Algebras to Legendrian Skein Algebras
Explore the connection between Hall algebras and skein algebras, delving into legendrian knot theory and Fukaya categories of surfaces. Gain insights into cutting-edge mathematical research.
Partially Wrapped Fukaya Categories of Symmetric Products of Marked Disks, Gustavo Jasso
Explore the equivalence between partially wrapped Fukaya categories and perfect derived categories, examining their rich mathematical structures and connections to higher Auslander algebras and Waldhausen S-constructions.
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.
A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 3
Explore geometric models for bounded derived categories of gentle algebras, their role in cluster algebras and homological mirror symmetry, and connections to partially wrapped Fukaya categories.
Winter School JTP- Plumbings and Flops, Ivan Smith
Explore advanced concepts in symplectic topology, focusing on plumbings and flops. Gain insights into cutting-edge research and techniques in this specialized field of mathematics.
A Geometric Model for the Bounded Derived Category of a Gentle Algebra - Sibylle Schroll Lecture 2
Explore geometric models for bounded derived categories of gentle algebras, focusing on their role in cluster algebras and homological mirror symmetry. Learn about line fields and derived invariants.
An Introduction to Modified Traces - Jonathan Kujawa
Explore fundamental invariants in representation theory, focusing on modified traces as replacement invariants in non-semi-simple settings. Learn basic properties and applications.