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.
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.
Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds
Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.
Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S
Explore connections between Deligne-Simpson problem and Hitchin systems, delving into SCF Theories of Class S and 3D mirror symmetry in this advanced mathematics lecture.
On the P=W Conjecture I
Exploration of the P=W conjecture for character varieties, its mirror version in Fano mirror symmetry, and applications to Hodge theory of Landau-Ginzburg models. Discusses recent developments and ongoing research in the field.
Blow Up Formulae and Invariants I - Blow-Up Formula for Quantum Cohomology
Exploration of Gromov-Witten invariants in blown up complex algebraic varieties, proposing a formula and proof approach via equivariant localization. Insights into quantum cohomology and algebraic geometry.
Blow Up Formulae and Invariants II - Dimension Theory
Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.
Structural Aspects of Fukaya Categories of LG Models
Explore Fukaya categories of Landau-Ginzburg models, monodromy, and related functors in this expository talk, covering work by Abouzaid-Seidel, Hanlon, Sylvan, Jeffs, and others.
Complex Surfaces with P_g=Q=0 via Birational Geometry, Derived Category and Gauge Theory
Exploration of complex surfaces with p_g=q=0, examining their significance and recent developments through birational geometry, derived category, and gauge theory perspectives.
Donaldson-Thomas and Gromov-Witten Theories - Part 10
Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
Donaldson-Thomas and Gromov-Witten Theories - Part 9
Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.
Donaldson-Thomas and Gromov-Witten Theories - Part 8
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.