Braids and Line Arrangements
Explore the fascinating connection between braids and line arrangements in mathematics, with insights from expert Moshe Cohen in this engaging lecture.
Algebraic Definition of Braids and the Braid Group
Explore the algebraic foundations of braids and the braid group, delving into their mathematical properties and applications in topology and geometry.
Dancing with Braids
Explore the mathematical concept of braids through dance and movement, blending art and science in this innovative presentation by Nancy Scherich from ICERM.
Braids and Art
Explore the fascinating intersection of mathematics and art through the lens of braids, uncovering their significance in both fields and their role in advancing women in mathematics.
Multispectra
Explore new birational invariants in algebraic geometry with Professor Ludmil Katzarkov, delving into advanced mathematical concepts and their applications.
On the Rouquier Dimension of Wrapped Fukaya Categories
Explores Rouquier dimension of wrapped Fukaya categories, linking symplectic topology to algebraic geometry through homological mirror symmetry. Discusses applications to Lagrangian intersections and Lefschetz fibrations.
Homological Mirror Symmetry for Hypersurface Singularities II
Explores graded matrix factorizations of invertible polynomials and stability conditions in homological mirror symmetry for singularities, continuing from a previous lecture.
Homological Mirror Symmetry for Hypersurface Singularities
Explore homological mirror symmetry for hypersurface singularities, covering basic definitions, Berglund-Hubsch duality, known results, and detailed examples in this advanced mathematics lecture.
More Instances of Steenbrink Spectra in Singularity Categories
Explore Steenbrink spectra in singularity categories, focusing on non-commutative mixed Hodge structures and dimensional properties. Gain insights into natural and mysterious appearances of this concept.
Alexander Polynomials of Algebraic Links
Explore Alexander polynomials of algebraic links, their definitions, examples, and connections to algebraic geometry. Discover the relationship between plane curve singularity spectra and link polynomials.
Surface Singularities and Invariants of Their Links
Explore the connection between surface singularities and their link's topology, focusing on quantum invariants and their relation to the spectrum of Brieskorn spheres.
Hodge Theory, Higgs Bundles on Moduli Spaces of Manifolds and Hyperbolicity II
Explores Hodge theory, Higgs bundles, and their applications to moduli spaces and hyperbolicity, focusing on complex geometry and variation of Hodge structures.
Period Mappings at Infinity - Recent Developments II
Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases of ppav and K3s.
Comparing Geometric and Hodge-Theoretic Compactifications I
Explores compactifications of moduli spaces for abelian varieties and K3 surfaces, comparing geometric and Hodge-theoretic approaches. Discusses recent work on stable K3 surfaces and recognizable divisors.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I
Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.
Volumes of Definable Sets in O Minimal Expansions and Affine GAGA Theorems
Explore o-minimal methods in algebraic geometry, focusing on volume estimates for definable sets and their application to affine GAGA theorems, with implications for Hodge theory.
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.
Periods and Moduli of Elliptic Surfaces I
Explore the derivative of period maps for Kaehler elliptic surfaces, examining the relationship with j-invariants and proving a generic Torelli theorem for simple elliptic surfaces.
Period Mappings at Infinity - Recent Developments I
Explores recent advancements in Hodge theory, focusing on asymptotic properties of period maps and their applications to moduli spaces beyond classical cases like ppav and K3s.
A Guide to Variations of Mixed Hodge Structure - Generalities and Examples
Explore mixed Hodge structures, their variations, and computational methods using global monodromy and iterated integrals. Illustrates concepts with the elliptic KZB variation over the universal elliptic curve.
Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II
Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.