Fundamentals of Lie Groupoids and Algebroids - Lecture Series
Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.
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.
Khajuraho's Magic Square and Hypercube Symmetries - General Seminar
Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.
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.
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.
The Hodge Filtration by Age and the Spectrum of Du Val Singularities
Explore the connection between cyclic homology's Hodge structure and the Ito-Reid age filtration in Mckay correspondence, with applications to Du Val singularities' spectrum computation.
On Mapping Class Groups of Non-Orientable Surfaces
Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.
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.
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.
Danny Ruberman- Diffeomorphism Groups of 4-Manifolds
Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.
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.