Homological Mirror Symmetry - Categorical Donaldson-Thomas Theory of C^3 and Beyond
Explore advanced concepts in Donaldson-Thomas theory, including categorifications, refinements, and applications to C^3 and beyond, with a focus on categorical invariants and correspondences.
Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds
Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.
Moments of Families of Elliptic Curves
Explore new developments in higher moment sums of elliptic curve families, their connections to modular forms, and applications to rigid Calabi-Yau threefolds and intermediate Jacobians.
Universally Counting Curves in Calabi-Yau Threefolds
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 4
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 3
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 2
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and implications.
Vertex Algebras from Divisors on CY Threefolds and Perverse Coherent Extensions - Lecture 1
Explore vertex algebras associated with divisors on toric Calabi-Yau threefolds through algebraic and geometric constructions, examining their equivalence and connections to enumerative geometry.
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.
Universally Counting Curves in Calabi-Yau Threefolds
Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.
Universally Counting Curves in Calabi-Yau Threefolds
Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.
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.
Mock Modularity of Calabi-Yau Threefolds - ICBS 2024
Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.
Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.
Higher Gromov-Witten Invariants of Calabi-Yau Threefolds
Explore mixed-spin-p-fields method for Calabi-Yau quintics, its application to BCOV Feynman summation rule, and generalization to hypersurfaces in toric varieties.
Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.
On the Spectral Problem of a Three Term Difference Operator
Explore the spectral problem of quantum mechanical operators in complex Planck's constant scenarios, focusing on toric Calabi-Yau threefolds and their implications.
Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.