Holomorphic Floer Theory, Quantum Wave Functions and Resurgence
Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves
Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.
Moduli Spaces for Rational Elliptic Surfaces - of Index 1 and 2
Explore rational elliptic surfaces, their construction from pencils of curves, and recent developments in moduli space construction for surfaces with multiple fibers.
Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds
Explore virtual reductions of fundamental classes on moduli spaces of sheaves in Calabi-Yau 4-folds, examining applications to Donaldson-Thomas invariants and connections to threefold theories.
Prequels and Possible Sequels to Topological Recursion
Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.
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.
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.
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.
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.
Donaldson-Thomas and Gromov-Witten Theories - Part 15
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
Donaldson-Thomas and Gromov-Witten Theories - Part 14
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
Donaldson-Thomas and Gromov-Witten Theories - Part 13
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 Theories - Part 12
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 Theories - Part XI
Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their connections to superstring theory.
Exploring the Boundary of the Moduli Space of Stable Surfaces - I-Surfaces as a Test Case
Exploring I-surfaces: minimal complex surfaces with K^2=1 and p_g=2. Recent research on boundary points of KSBA compactification for I-surfaces' moduli space.
Torelli Action on SU(n) Representation Varieties of Projective Curves
Explore Torelli group action on SU(n) representation varieties, its nontriviality in degree 6 cohomology, and implications for moduli of semistable bundles with trivial determinant.
Period Mappings at Infinity - Recent Developments II
Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases of ppav and K3s.
Comparing Geometric and Hodge-Theoretic Compactifications I
Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, comparing geometric and Hodge-theoretic approaches. Discusses recent work on stable K3 surfaces and recognizable divisors.
Period Mappings at Infinity - Recent Developments I
Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases like ppav and K3s.