Insights and Challenges in Symplectic Capacities
Explore key insights and challenges in symplectic capacities, delving into advanced mathematical concepts and their applications in geometric analysis.
Statistical Manifolds and F-Manifold Structure in Exponential Families
Explore statistical manifolds' F-manifold structure, connecting information geometry to Frobenius manifolds and revealing rich algebraic and geometrical properties.
Counting Curves in Calabi-Yau Threefolds
Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.
Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview
Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.
Higher Gromov-Witten Invariants of Calabi-Yau Threefolds
Explore mixed-spin-p-fields method for Calabi-Yau quintics, its application to BCOV Feynman summation rule, and generalization to hypersurfaces in toric varieties.
Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.
A Homotopical Description of Deligne-Mumford Compactifications
Explore homotopical descriptions of Deligne-Mumford compactifications, their relation to GW invariants and Fukaya categories, and implications for symplectic cohomology.
The Cyclic Open-Closed Map, U-Connections and R-Matrices
Explore connections between Gromov-Witten invariants and Fukaya categories, focusing on the cyclic open-closed map, u-connections, and R-matrices. Delve into recent progress and potential extensions beyond semisimple cases.
Quantum Mirror Symmetry for the Conifold
Explore open Gromov-Witten invariants for the conifold, examining operator equations, mirror curves, and connections to colored HOMFLYPT polynomials in this advanced mathematics lecture.
Quivers, Flow Trees, and Log Curves
Explore the connection between Donaldson-Thomas invariants, attractor flow trees, and log Gromov-Witten invariants in quiver theory and toric geometry.