Functoriality in Gromov Witten Theory
Explore advanced concepts in Gromov-Witten theory, including quantum Lefschetz, quantum Leray-Hirsch, and functoriality in birational transformations, presented by Yuan-Pin Lee from the University of Utah.
New Rational Cubic Fourfolds via Cremona Transformation
Explore birational equivalence of cubic fourfolds and K3 categories, focusing on cases with Veronese surfaces and using Cremona transformations to discover new rational cubic fourfolds.
Geometric Recursion - Lecture II
Explore geometric recursion's relation to topological recursion, focusing on mapping class group invariant functions and their applications in moduli spaces and Gromov-Witten invariants.
Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces
Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
Quantization of Moduli Spaces of Local Systems at Roots of Unity
Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.
A Local Version of HMS for Parabolic Hitchin Space
Exploring coherent sheaves on Springer fibers and their relation to microlocal sheaves, with applications to mirror duality in parabolic Hitchin spaces.
Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs
Exploration of homological mirror symmetry for intrinsic mirror pairs, comparing algebraic-geometric and symplectic approaches using quantum cohomology and VFC machinery.
Mirrors of Curves and Their Fukaya Categories II
Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
Quantum Spectrum in Algebraic Geometry II
Explores quantum spectrum in algebraic geometry, focusing on quantum blow-up formula and its applications in birational geometry, motivic measures, and singularity resolution.
Mirrors of Curves and Their Fukaya Categories I
Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.
Quantum Spectrum in Algebraic Geometry I
Explore quantum spectrum in algebraic geometry, focusing on quantum blow-up formula and its applications in birational geometry, motivic measures, and singularity resolution.
Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks
Explore non-archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness in the context of mirror symmetry.
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.
Homological Mirror Symmetry- Non-Holomorphic Deformations of Landau-Ginzburg Models
Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.
Homological Mirror Symmetry for Theta Divisors
Explore complex moduli of theta divisors in abelian varieties and their mirror Landau-Ginzburg models, focusing on global homological mirror symmetry across the entire moduli space.
Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces
Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
Surface Quotient Singularities and Big Cotangent Bundle
Explore hyperbolic properties of surfaces with big cotangent bundle, including the Green-Griffiths-Lang conjecture and a new bigness criterion for orbifold surface resolutions.
Donaldson-Thomas and Gromov-Witten Theories - Part 18
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties, with applications to superstring theory.
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.