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.
Alberto Verjovsky- Hilbert-Blumenthal and Bianchi Quaternionic Orbifolds
Explore recent advancements in quaternionic orbifolds, generalizing Hilbert-Blumenthal varieties to Hamilton quaternions and quaternion algebras over number fields, with insights on cusps and ongoing research.
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.
A Categorical Description of Discriminants
Explore a categorical approach to discriminants in toric homological mirror symmetry, including B-side categories, spherical functors, and K-theoretic evidence. Joint work with Ludmil Katzarkov presented.
Geometry, Topology, Group Actions, and Singularities in the Americas
Explore the intersection of geometry, topology, group actions, and singularity theory in this conference talk, fostering collaboration among experts across the Americas and beyond.
Decomposition of Definable Sets in Algebraically Closed Fields
Exploration of definable set decomposition in algebraically closed fields, focusing on advanced concepts and techniques in geometric model theory and algebraic geometry.
Mirror Structure Constants via Non-Archimedean Analytic Disks
Exploration of mirror structure constants for smooth affine log Calabi-Yau varieties using non-archimedean analytic disks, generalizing previous constructions and discussing potential further applications.
Quivers, Curve Counting, and Fermionic Sums in Topology
Explore connections between quantum groups, vertex algebras, and quiver representations in topology. Discover how fermionic forms link these areas, shedding new light on enumerative geometry and curve counting.
Andras Nemethi- Multivariable Poincaré Series of Complex Singularities
Explore multivariable Poincaré series in complex singularities with Andras Nemethi. Delve into advanced mathematical concepts at the intersection of geometry, topology, and singularity theory.
Braid Monodromy and Divisibility of Alexander Polynomials of Real Singular Curves
Explores Alexander polynomials in algebraic geometry, focusing on braid monodromy symmetries of real plane curves and their impact on divisibility relations for Alexander invariants.
Decomposition of Definable Sets in Algebraically Closed Fields
Explore definable set decomposition in algebraically closed fields. Delve into geometric and topological aspects of group actions, connecting algebraic topology, geometry, and mathematical physics.
Deformation Theory for Finite Cluster Complexes
Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.
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.
Pontrjagin Duality on Multiplicative Gerbes
Exploration of Pontrjagin Duality on Multiplicative Gerbes, proposing a generalization of the Twisted Drinfeld Double to continuous groups. Part of a conference on geometry, topology, group actions, and singularities.
Orbifold Jet Differentials and Hyperbolicity Conjectures
Explore orbifold jet differentials and their role in hyperbolicity conjectures. Discuss limitations in extending classical results to orbifold contexts, based on collaborative research.
Kato-Usui Type Extension of General Period Map
Explore Kato-Usui theory for extending non-classical period maps, its applications, and potential future directions in algebraic geometry and Hodge theory.
Filtered Ends and Bochner Hartogs Dichotomy on Complete Kahler Manifolds
Explore filtered ends and Bochner Hartogs dichotomy on complete Kahler manifolds, examining relationships between generalized ends and first compactly supported cohomology.
Fake Projective Planes: Properties and Recent Progress
Explore fake projective planes: complex surfaces with unique properties, their construction via uniformization, and recent advancements in understanding their algebraic and geometric characteristics.
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.