Homological Mirror Symmetry - DT Invariants & Holomorphic Curves
Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, with applications in enumerative geometry and insights from quantum field theories.
Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions
Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.
Donaldson-Thomas and Gromov-Witten Invariants - Part 17
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
Donaldson-Thomas and Gromov-Witten Invariants - Part 16
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds
Explore Donaldson-Thomas invariants of torsion sheaves in Calabi-Yau fourfolds, examining their relation to reduced DT theory and modularity predictions for elliptic K3 surfaces.
Cohomological Donaldson-Thomas Invariants of 3-Manifolds - Part 2
Explore Morse homology of complex Chern-Simons functional, its connections to supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.
Introduction to BPS Spectra and Quantum Invariants - Lecture 2
Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence
Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
Geometry from Donaldson-Thomas Invariants
Explore Donaldson-Thomas invariants in 3-Calabi-Yau categories to define geometric structures on stability condition spaces, focusing on hyperkähler structures and moduli-theoretic constructions.
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.
Categorified Donaldson-Thomas Invariants of Calabi-Yau 3-Folds
Explore categorified Donaldson-Thomas invariants of Calabi-Yau 3-folds in this advanced mathematical lecture by Benjamin Hennion at CIRM's thematic meeting on algebraic geometry.
Motivic Invariants of Moduli of Irregular Parabolic Higgs Bundles and Bundles
Explore motivic integration and its application to Donaldson-Thomas invariants in moduli stacks of semistable irregular parabolic Higgs bundles and connections on projective curves.
Geometry from Donaldson-Thomas Invariants
Explore geometric structures in stability conditions using DT invariants of CY3 triangulated categories, focusing on hyperkähler structures and complexified Hitchin systems.
Reddening Sequences for Cluster Algebras
Explore reddening sequences in cluster algebras, their implications, and known cases, delving into finite dimensionality, invariants, and canonical bases.
DT Invariants and Holomorphic Curves in Complex Integrable Systems
Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, focusing on mirror symmetry and applications in enumerative geometry.
Enumerative Geometry Through Sheaves
Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.
Counting Curves in Calabi-Yau Threefolds
Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.
Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real
Explore advanced Donaldson-Thomas invariants in algebraic geometry, including classical, motivic, quadratic, and real variants. Delve into virtual fundamental classes and refined invariants.
Quiver Structures of Knot Invariants, Open Strings, and Recursion
Explore quiver structures in knot theory, connecting HOMFLY-PT polynomials to motivic Donaldson-Thomas invariants through string theory and M-brane interactions.
Introduction to Quiver BPS Algebras - Part 5
Explore quiver BPS algebras with Wei Li, delving into advanced mathematical concepts and their applications in theoretical physics and algebraic geometry.
Introduction to Quiver BPS Algebras - Part 4
Explore quiver BPS algebras with Wei Li, delving into advanced concepts and applications in mathematical physics and representation theory.