Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs
Exploration of homological mirror symmetry for intrinsic mirror pairs, comparing algebraic-geometric and symplectic approaches using quantum cohomology and VFC machinery.
Blow Up Formulae and Invariants I - Blow-Up Formula for Quantum Cohomology
Exploration of Gromov-Witten invariants in blown up complex algebraic varieties, proposing a formula and proof approach via equivariant localization. Insights into quantum cohomology and algebraic geometry.
Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules
Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.
More Deformations of the Cohomology Ring of the Moduli Space of Representations
Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.
Eduardo Gonzalez- Quantum Cohomology, Seidel Elements, Shift Operators & Coulomb Branches
Explore advanced mathematical concepts in quantum cohomology, Seidel elements, and Coulomb branches. Discover the interplay between equivariant cohomology and symplectic homology in Lie group manifolds.
Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024
Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.
Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3
Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.
Equivariant Quantum Volumes and Symplectic Cuts - Lecture 1
Explore equivariant quantum volumes and symplectic cuts in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
Reduced Gromov-Witten Invariants
Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.
Maulik-Okounkov Lie Algebras and BPS Lie Algebras
Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.
Open Gromov-Witten Invariants from the Fukaya Category
Explore recent progress in deriving Gromov-Witten invariants from the Fukaya category, focusing on cyclic open-closed maps, R-matrices, and potential extensions to open invariants.
Singularities of the Quantum Connection on a Fano Variety
Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
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.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
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.
Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024
Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.
The Exponential Type Conjecture for Quantum Connections
Delve into quantum connections and formal singularity types, exploring the exponential type conjecture proof for closed monotone symplectic manifolds through mod p arguments and Katz's theorem.