Intersection Cohomology of the Moduli Spaces of Stable Bundle I
Explore intersection cohomology of semistable bundle moduli spaces on Riemann surfaces, including Decomposition Theorem analysis and new formula for intersection Betti numbers.
Mapping Spaces and E_2 Algebras
Explore mapping spaces, spectral sequences, and E_2 algebras in topology. Discover connections between configuration spaces, cochains, and factorization homology in this advanced mathematical lecture.
Lagrangian Intersections in Phase Tropical Hypersurfaces
Explore phase tropical hypersurfaces, their relation to complex hypersurfaces, and combinatorial analogs of Lagrangian spheres and thimbles. Discuss connections to mirror matrix factorization categories.
Stability Structures in Holomorphic Morse-Novikov Theory
Explore complex symplectic manifolds, Floer theory, and Morse-Novikov theory. Delve into analytic questions of convergence and generalization to almost-complex cases in this advanced mathematical lecture.
Topological Invariants of Compact Singular Varieties
Explore topological invariants of compact singular varieties with José Seade from UNAM. Gain insights into advanced mathematical concepts and their applications in algebraic geometry.
Extensions in MHM and Hain's Biextension Line Bundle - Part 2
Explores biextension line bundles, their extensions, and algebraic structures. Presents a formula for Q-line bundles, building on Hain and Pearlstein's work on normal functions and complex manifolds.
Extensions in MHM and Hain's Biextension Line Bundle - Part 1
Explore complex manifolds, biextension line bundles, and normal functions in algebraic geometry. Discover formulas for Q-line bundle extensions and their topological invariants.
Lattice Cohomology - Part 2
Explores advanced concepts in lattice cohomology, focusing on topological and analytic aspects, their connections to singularity theory, and implications for geometric structures.
Constructible Sheaves and Filtered D-Modules
Explore the Riemann-Hilbert correspondence and its p-adic analogue, connecting constructible sheaves to filtered D-modules with applications in algebraic geometry.
On the Deleted Squares of Lens Spaces
Explores homotopy equivalence of configuration spaces in lens spaces, using differential characters and Massey products to investigate topological properties of deleted squares.
The Average Genus of a 2-Bridge Knot Grows Linearly with Respect to Crossing Number
Explore the linear growth relationship between Seifert genus and crossing number in 2-bridge knots using Chebyshev billiard table diagrams, building on previous research and experimental data.
Braids and Line Arrangements - Old and New
Explore the interplay between braid groups, configuration spaces, and hyperplane arrangements, focusing on recent advances in understanding fundamental groups of complex line arrangement complements.
Braidings and Braid Equivalences
Explore braiding algorithms and braid equivalences for various knot types, including classical, virtual, and singular, with a focus on knotoids and braidoids.
On the Kontsevich Geometry of the Combinatorial Teichmüller Space
Explore combinatorial Teichmüller space, global Fenchel-Nielsen coordinates, and Kontsevich symplectic form. Learn about integrating geometric functions over combinatorial moduli spaces in this advanced mathematics lecture.
Topological Recursion for Hurwitz Theory and Intersection Theory of Moduli Spaces of Curves
Explore topological recursion in Hurwitz theory and its connections to moduli spaces of curves. Discover ELSV-type formulae and their impact on understanding ramifications and cohomological field theories.
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.