Tropical Vector Bundles and Matroids
Delve into advanced geometric concepts exploring toric vector bundles, matroids, and their tropical counterparts through classification, equivariant K-theory, and characteristic classes.
Algebraicity of BG and BunG - Talk 3
Delve into algebraic stacks theory, exploring classifying stack BG and Bun_{G,X}, with focus on GL_n groups and smooth projective curves, including Weil's automorphic interpretation.
Examples and Basic Properties of BunG - Talk 9
Explore concrete examples of BunG geometry through explicit polynomial computations, focusing on P^1 cases and examining vector bundles, G-torsors, and Ramanathan's deformation theory.
BunG and Higgs Bundles - Moduli Stacks and Geometric Langlands - Talk 4
Delve into advanced mathematical concepts of moduli stacks, exploring tangent/cotangent stacks, Higgs bundles, and their role in Geometric Langlands through expert analysis of BunG framework.
The Harder-Narasimhan Filtration and Stability Conditions for Vector Bundles
Delve into the mathematical theory of stability conditions and Harder-Narasimhan filtration for vector bundles, exploring their applications in geometric invariant theory and moduli spaces.
Moduli Spaces of Bundles on Curves with Abelian Motives
Explore the mathematical theory behind abelian motives in bundle moduli spaces, examining motivic formulas and their relationship to cohomological phenomena on curves.
Windows and the BGMN Conjecture
Explore the BGMN Conjecture in algebraic geometry using moduli spaces, derived categories, and GIT wall crossing. Uncover insights into vector bundles and symmetric powers of curves.
Representations of Fuchsian Groups, Parahoric Group Schemes by Vikraman Balaji
Explore advanced mathematical concepts including Fuchsian groups, parahoric schemes, and root systems. Delve into complex algebraic structures and their representations in this in-depth lecture on geometric group theory.
Sylvie Paycha: Re-Expansion Maps as Direct Connections
Explore re-expansion maps in groupoids, their connection to regularity structures, and interpretation as "gaugeoid fields" in gauge groupoids. Generalization to jet bundles in polynomial regularity structures.
Vector Bundles for Data Alignment and Dimensionality Reduction
Explore vector bundles in data science, focusing on synchronization problems and topology-preserving dimensionality reduction. Applications in computational chemistry and dynamical systems are presented.
Persistent Stiefel-Whitney Classes
Explore persistent Stiefel-Whitney classes in topological data analysis, extending beyond homology groups to estimate vector bundle structures from finite samples using a persistent approach.
Michael Farber - Topological Complexity of Spherical Bundles
Explore parametrized motion planning algorithms and the topological complexity of sphere bundles, examining characteristic classes and specific examples in applied algebraic topology.
Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves
Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.
Aravind Asok, Jean Fasel - Vector Bundles on Algebraic Varieties
Explore vector bundles on algebraic varieties with experts Aravind Asok and Jean Fasel, delving into advanced mathematical concepts and their applications in algebraic geometry.
Vector Bundles and Tight Closure
Explore vector bundles and tight closure in algebraic geometry, delving into their properties, applications, and connections to other mathematical concepts.
Vector Bundles and Tight Closure
Explore vector bundles and tight closure in algebraic geometry, delving into advanced mathematical concepts and their applications.
Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry II
Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.
Logarithmic Transformations and Vector Bundles on Elliptic Surfaces via O-Minimal Geometry I
Explore logarithmic transformations and vector bundles on elliptic surfaces through o-minimal geometry, examining their impact and applications in various mathematical fields.
Arthur-César le Bras - p-adic Geometry - Vector Bundles on the FarguesFontaine Curve
Explore vector bundles on the Fargues-Fontaine curve in p-adic geometry, delving into advanced mathematical concepts and their applications.
The Family Signature Theorem
Explores Hirzebruch's signature theorem and its extension to families of smooth manifolds, relating intersection forms to characteristic classes and the family index theorem.
Vector Bundles and Tight Closure
Explore vector bundles and tight closure in algebraic geometry, delving into advanced mathematical concepts and their applications.