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#Quantum Cohomology

Showing: 17 courses
IMSA

Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs

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Exploration of homological mirror symmetry for intrinsic mirror pairs, comparing algebraic-geometric and symplectic approaches using quantum cohomology and VFC machinery.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Blow Up Formulae and Invariants I - Blow-Up Formula for Quantum Cohomology

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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.
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1 Lesons
43 minutes
On-Demand
Free-Video
International Mathematical Union

Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules

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Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.
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1 Lesons
44 minutes
On-Demand
Free-Video
ICTP Mathematics

More Deformations of the Cohomology Ring of the Moduli Space of Representations

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Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

Eduardo Gonzalez- Quantum Cohomology, Seidel Elements, Shift Operators & Coulomb Branches

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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.
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1 Lesons
44 minutes
On-Demand
Free-Video
IMSA

Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024

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Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3

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Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.
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1 Lesons
58 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Equivariant Quantum Volumes and Symplectic Cuts - Lecture 1

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Explore equivariant quantum volumes and symplectic cuts in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Reduced Gromov-Witten Invariants

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Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Maulik-Okounkov Lie Algebras and BPS Lie Algebras

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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.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Open Gromov-Witten Invariants from the Fukaya Category

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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.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Singularities of the Quantum Connection on a Fano Variety

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Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Max Planck Science

Statistical Manifolds and F-Manifold Structure in Exponential Families

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Explore statistical manifolds' F-manifold structure, connecting information geometry to Frobenius manifolds and revealing rich algebraic and geometrical properties.
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1 Lesons
17 minutes
On-Demand
Free-Video
BIMSA

Recent Progress on Gamma Conjectures - ICBS 2024

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Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

The Cyclic Open-Closed Map, U-Connections and R-Matrices

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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.
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4 Lesons
51 minutes
On-Demand
Free-Video
BIMSA

Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024

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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.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

The Exponential Type Conjecture for Quantum Connections

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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.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video