Period Mapping at Infinity
Explore Hodge theory's global study of period mapping at infinity, including new invariants, moduli space implications, and geometric insights for singular varieties.
Is There Geometric Recursion for the Moduli Space of Toric Varieties?
Explore moduli space of quantum toric varieties, drawing parallels with geometric recursion. Delve into quantum lattices, tori, and CP1, examining group actions, calibration, and quantum geometric invariant theory.
Geometric Recursion - Lecture I
Explore geometric recursion, its relation to topological recursion, and applications in Teichmüller spaces, moduli spaces, and mapping class group invariant functions.
A Proposal for Open DT Invariants
Explore open DT invariants, refined invariance, and boundary conditions in moduli spaces with Sergei Gukov. Delve into generating series, topological vertex, and infinite projects in this advanced mathematics lecture.
Floer Homotopy Without Spectra
Explore advanced mathematical concepts in Floer homotopy, including manifold categories, moduli spaces, and K-homology, without relying on spectral theory.
Homological Mirror Symmetry - Nikita Nekrasov
Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks Pt. II
Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
Moduli Spaces on K3 Categories Are Irreducible Symplectic Varieties
Explore irreducible symplectic varieties as building blocks in singular projective varieties, focusing on moduli spaces of Bridgeland stable objects in Kuznetsov components of specific fourfolds.
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.
Birational Geometry of Moduli Spaces via the Essential Skeleton
Explore the essential skeleton in birational geometry, linking it to tropical geometry and moduli spaces, with a focus on $\mathcal{M}_{0,n}$ and potential applications to hyperplane arrangements.
K-Stability of Fano Varieties
Explores K-stability of Fano varieties, connecting complex geometry and algebraic geometry. Discusses recent developments, including solved conjectures and the construction of a moduli space for Fano varieties.
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.
Moduli Spaces of Parabolic Connections and Parabolic Bundles and Geometric Langlands by M-H Saito
Explore moduli spaces of parabolic connections and bundles, their properties, and applications in Geometric Langlands. Covers deformation theory, symplectic structures, and key theorems in this advanced mathematical topic.
Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1
Introducción a la geometría hiperbólica: modelos, propiedades y trigonometría. Exploración de los modelos del semiplano superior, disco y hiperboloide, con énfasis en geodésicas, ángulos y curvatura constante.
Real Gromov-Witten Theory
Survey of recent developments in real Gromov-Witten theory, covering construction challenges, structural results, and connections to physics. Explores moduli spaces, invariants, and enumerative geometry.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on multiplicative classes, convergence, and residual formulas in sheaf theory on surfaces.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on sheaves on surfaces. Learn about ischemic points, Euler numbers, and perfect obstruction theory.
Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I
Explore virtual invariants of moduli spaces, Vafa-Witten invariants, and related mathematical concepts in this advanced seminar on algebraic geometry and theoretical physics.
An Introduction to Spectral Data for Higgs Bundles
Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II
Exploration of intersection cohomology in moduli spaces of semistable bundles on Riemann surfaces, featuring new formulas for intersection Betti numbers and geometric insights.
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.