Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions
Explore signed barcodes: a new visual representation for multi-parameter persistence modules, encoding rank invariants and enhancing exploration of complex topological structures.
Discrete Morse Theory Meets Multi-Parameter Persistence
Exploring connections between discrete Morse theory and multiparameter persistence in topological data analysis, focusing on critical cells, fibered rank invariant, and computational efficiency.
The Intrinsic Volumes of a Space Filling Diagram and Their Derivatives
Explore intrinsic volumes in molecular dynamics, focusing on space-filling diagrams and their derivatives. Learn formulas for weighted volumes and curvatures in Alpha shape representations.
Quasipositive Surfaces and Decomposable Lagrangians in Topology - IMSA Seminar
Explore Legendrian links, knot Floer homology, and Lagrangian link cobordisms in topology. Learn about braiding techniques and the comultiplication property in this advanced mathematical seminar.
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.
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.
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.
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.
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.
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.
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.