Donaldson-Thomas and Gromov-Witten Theories - Part 4
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
Donaldson-Thomas and Gromov-Witten Theories - Part 3
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
Donaldson-Thomas and Gromov-Witten Theories - Part II
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their applications in superstring theory.
Motivic Integration for Non-Archimedean Analytic Spaces - I
Explore motivic integration for rigid varieties over complete discrete valued fields, with potential applications to Berkovich spaces and logarithmic geometry.
Donaldson-Thomas and Gromov-Witten Theories - Part I
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.
Schön Varieties and Decomposition of Semi-Algebraic Set
Explore tropicalization, Schön varieties, and decomposition of semi-algebraic sets. Learn about initial degenerations, motivic volumes, and tropical fans in algebraic geometry.
Basics on Motivic Integration
Explore fundamental concepts of motivic integration, including motivic volume definition and computational examples, in this concise mathematical exposition.
Tropical Geometry & Artificial Life
Explore self-organized criticality in artificial life models through tropical geometry, examining its applications and implications for understanding complex systems.
Motivic Integration & Stringy Chern Classes
Explore motivic integration basics and learn how stringy Chern classes apply to singular varieties in this advanced mathematics lecture by Ernesto Lupercio.
Orbifolds as Stacks & Stringy Cohomology and Localization
Explore orbifolds as stacks, twisted sectors, stringy cohomology, and localization methods in advanced mathematics with expert Ernesto Lupercio from CINVESTAV.
Functional Inequalities and Improvements: Stability - Part 1
Explore functional inequalities, their applications, and recent developments in stability theory. Learn strategies for optimizing constants and functions in various mathematical fields.
Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models
Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.
Discriminants and Toric Birational Geometry
Explore Gorenstein toric singularities, B-side categories in toric homological mirror symmetry, and GKZ hypergeometric D-modules. Discover the conjectural construction of associated spherical functors.
Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants
Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.
Compactification of Moduli Spaces of Quantum Toric Stacks
Explores moduli spaces of quantum toric stacks and their compactification, extending toric varieties to stacky generalizations with finitely generated subgroups of R^d as "lattices".
Generation in Characteristic P
Explore techniques for constructing generators in derived categories in nonzero characteristic, including joint research findings on this advanced mathematical topic.
The Mirror Clemens-Schmid Sequence
Explore a four-term exact sequence in cohomology, its relation to filtrations, and a proposed mirror to the Clemens-Schmid sequence, with applications in K3 surface settings.
Homotopy Path Algebras
Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.
Global Shifted Potentials for Moduli Stack of Sheaves over Calabi-Yau 4 Folds
Explores construction of globally defined shifted potential functionals on moduli stacks of stable sheaves on Calabi-Yau 4-folds, discussing DG Quot schemes, Lagrangian distributions, and applications to derived algebraic geometry.
Prealgebra - Adding of Integers - Using the Addition Rule for Integers
Learn to add integers using the Addition Rule, mastering a fundamental concept in prealgebra for solving more complex mathematical problems.
Introduction to Integers
Explore integers, their properties, and operations in this comprehensive lecture, laying a strong foundation for algebraic concepts and problem-solving skills.