Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
The Moduli Space of Twisted Laplacians and Random Matrix Theory
Explore the convergence of spectral number variance for twisted Laplacians to random matrix theory ensembles, extending Rudnick's work to break time-reversal symmetry and include Dirac operators.
Scattering Amplitudes, Multi-variate Residues and Valuated Matroids
Delve into scattering amplitudes, exploring multi-variate residues on Grassmannians and moduli spaces. Uncover connections between physical problems and geometric combinatorics.
Symplectic Orbifold Gromov-Witten Invariants
Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
Distinguishing Monotone Lagrangians via Holomorphic Annuli - Ailsa Keating
Explore advanced symplectic geometry concepts, focusing on distinguishing monotone Lagrangians through holomorphic annuli, with insights on geometric mutation and moduli spaces.
Pseudoholomorphic Curves with Boundary - Can You Count Them? Can You Really? - Sara Tukachinsky
Explore pseudoholomorphic curves with boundary, their counting challenges, and innovative approaches in Gromov-Witten theory with Sara Tukachinsky's advanced mathematical seminar.
Generalized Hitchin Systems - New Geometric Structures
Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.
Commutative Algebra and Algebraic Geometry: Hitching Map and Modular Spaces - Lecture 15
Explore advanced topics in algebraic geometry, including Hitchin maps, nilpotent cones, and modular spaces. Gain insights into symmetries, automorphisms, and spectral curves in this in-depth mathematical discussion.
Quasi-Universal Sheaves and Generic Modules
Explorez les sheaves quasi-universels et les modules génériques dans le contexte de la théorie des représentations et de l'algèbre non commutative. Approfondissez les applications aux algèbres de dimension finie.
Les mondes mathématiques de Maryam Mirzakhani - Espaces de formes
Explorez les contributions révolutionnaires de Maryam Mirzakhani aux espaces de formes et à la géométrie, présentées par Pascal Hubert.
Volumes of Odd Strata of Quadratic Differentials
Explore volumes of odd strata of quadratic differentials in moduli spaces. Delve into combinatorics, dynamics, and geometry with insights from Elise Goujard's mathematical research.
From Matroids to Moduli Spaces
Explore the mathematical foundations of matroids and their applications in OSCAR software, focusing on hyperplane arrangements, particle physics, and algebraic geometry applications.
Geometric Contractiveness of the Harder-Narasimhan Stratification in BunG - Talk 10
Delve into the geometric contractiveness of Harder-Narasimhan stratification and its implications for D-modules on BunG, exploring behavior at infinity and quasi-compact properties.
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.
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.
Multimatroids and Rational Curves with Cyclic Action
Explore the intersection of multimatroids and rational curves, discovering how these mathematical structures connect through combinatorial formulas and independence polytopal complexes in topological graph theory.
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.
One-Dimensional Objects - Algebraic Topology
Explore one-dimensional objects in algebraic topology, focusing on lines and circles. Learn about their diverse representations and fundamental properties in this introductory lecture.
CoFTs for GLSMs
Explore enumerative invariants for GLSMs, generalizing Gromov-Witten and FJRW theories. Learn about virtual fundamental classes, Atiyah classes, and matrix factorizations in this context.
Mixed Period Maps: Definability and Algebraicity
Explore definable analytic spaces and their applications in algebraic geometry, focusing on period maps and mixed Hodge structures. Learn about o-minimal geometry and its role in proving key conjectures.