Equivariant Birational Types
Explore obstructions in equivariant birational geometry, covering rationality, basic facts, refined invariants, and applications to abelian and non-abelian actions on surfaces.
Rationality for Threefolds Over Non-Closed Fields
Explore recent developments in rationality of geometrically rational threefolds over non-closed fields, including symbol invariants and new approaches to longstanding questions in algebraic geometry.
Wall Finiteness Obstruction for DG Categories II
Exploration of Wall finiteness obstruction theorem for DG categories, including applications to phantom DG categories and derived categories of algebraic varieties. Discusses extensions to algebras over DG operads.
Holomorphic Bisectional Curvature and Applications to Deformations and Rigidity of Mixed Hodge Structure
Explore holomorphic bisectional curvature in Hodge theory, focusing on mixed Hodge metrics, rigidity results, and applications to geometric examples.
A Categorical Interpretation of the GKZ D-Module
Explore the categorical interpretation of GKZ D-modules in toric homological mirror symmetry, focusing on B-side categories and characteristic cycle strata.
A Tropical Approach to Homological Mirror Symmetry of Quadrics
Tropical geometry approach to homological mirror symmetry of quadrics, exploring new anti-canonical divisor and potential construction. Compares with previous work and discusses exceptional collections.
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.
The Pushforward Theorem and Applications
Explore relative shifted symplectic structures, their pushforward theorem, and applications to Poisson structures on derived moduli of Stokes data, with insights on symplectic leaves and irregular types.
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.
The Monge-Ampere System - Convex Integration in Arbitrary Dimension and Codimension
Explore flexibility in weak solutions to the Monge-Ampere system via convex integration, covering isometric immersions and nonlinear elasticity with focus on Holder regularity in arbitrary dimensions.
Curvature Formula for Direct Images of Relative Canonical Bundles with Poincaré Type Twist
Curvature formula for direct images of relative canonical bundles with Poincaré type twist, improving positivity results and potentially proving Kobayashi hyperbolicity of moduli spaces.
Periods, Shafarevich Maps and Applications in Algebraic Geometry
Explore periods, Shafarevich maps, and their applications in mathematics, covering key concepts, historical context, and advanced theoretical proofs.
Rigid Compact Complex Manifolds - Properties and Examples
Explore rigid compact complex manifolds, their properties, and recent findings in product-quotient varieties, addressing long-standing questions in algebraic geometry.
The Miyaoka-Yau Equality for Pairs
Explore Miyaoka-Yau Equality for klt pairs, characterizing ball quotients through Chern classes. Gain insights into this advanced mathematical concept and its applications.
A Homological Interpretation of Higher Du Bois and Higher Rational Singularities
Explore homological interpretations of higher Du Bois and rational singularities, focusing on hypersurfaces and characteristic classes. Gain insights into advanced algebraic geometry concepts.
Homological Mirror Symmetry - Lagrangian SYZ Fibrations
Explore Lagrangian SYZ fibrations in symplectic geometry, focusing on integral affine manifolds with singularities and the construction of local models and gluing techniques.
Homological Mirror Symmetry - Toward the Logarithmic Hilbert Scheme
Explore logarithmic geometry and its applications in mirror symmetry, focusing on the development of a logarithmic Hilbert scheme and its implications for degenerations and tropical mathematics.
Homological Mirror Symmetry - Atsushi Takahashi, Osaka University
Exploring generalized root systems of type D, constructing Frobenius manifolds, and examining their potential applications in algebraic geometry and mathematical physics.