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#Gromov-Witten Invariants

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M-Seminar, Kansas State University

Symplectic Orbifold Gromov-Witten Invariants

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Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institute for Advanced Study

Integer-Valued Gromov-Witten Type Invariants - Guangbo Xu

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Explore integer-valued Gromov-Witten type invariants in symplectic geometry, focusing on genus zero cases for symplectic manifolds. Learn about recent developments and their applications in mathematical research.
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10 Lesons
1 hour 15 minutes
On-Demand
Free-Video
ICTP Mathematics

MTC and Twisted Hilbert Spaces

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Explore twisted Hilbert spaces and their applications in topology, including Jones polynomials, torsion, and Gromov-Witten invariants. Gain insights into advanced mathematical concepts and their interconnections.
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16 Lesons
1 hour 8 minutes
On-Demand
Free-Video
International Mathematical Union

Real Gromov-Witten Theory

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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.
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12 Lesons
44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Contact Geometry by Dheeraj Kulkarni

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Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.
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20 Lesons
1 hour 27 minutes
On-Demand
Free-Video
IMSA

Open-Relative Correspondence and Topological Recursion

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Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

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Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
IMSA

Birational Calabi-Yau's and Floer Cohomology

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Explore the relationship between Gromov-Witten invariants of birational Calabi-Yau manifolds using Hamiltonian Floer theory, including the generalized McKay correspondence and small quantum products.
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1 Lesons
59 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
IMSA

Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants

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Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Universally Counting Curves in Calabi-Yau Threefolds

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Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.
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1 Lesons
57 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

Skein Valued Open Gromov-Witten Invariants and Cluster Mutations

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Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence

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Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.
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1 Lesons
1 hour 14 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

Virasoro Constraints in Sheaf Theory

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Explore Virasoro constraints in sheaf theory, focusing on recent developments and their application to moduli spaces of sheaves using vertex algebra and wall-crossing techniques.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Enumerative Invariants from Categories

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Explore enumerative predictions in Mirror Symmetry through categorical approaches, focusing on Gromov-Witten invariants and their analogues in dg or A-infinity Calabi-Yau categories.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Global Kuranishi Charts and Product Formula for Symplectic Gromov-Witten Invariants

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Explore global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps and their application in proving the product formula for symplectic Gromov-Witten invariants.
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1 Lesons
1 hour
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Counting Curves: Which, How and Why - Kirk Public Lecture

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Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Advanced Study

Insights and Challenges in Symplectic Capacities

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Explore key insights and challenges in symplectic capacities, delving into advanced mathematical concepts and their applications in geometric analysis.
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1 Lesons
19 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
Stony Brook Mathematics

Counting Curves in Calabi-Yau Threefolds

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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.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
BIMSA

Higher Gromov-Witten Invariants of Calabi-Yau Threefolds

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Explore mixed-spin-p-fields method for Calabi-Yau quintics, its application to BCOV Feynman summation rule, and generalization to hypersurfaces in toric varieties.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024

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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.
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1 Lesons
51 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

A Homotopical Description of Deligne-Mumford Compactifications

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Explore homotopical descriptions of Deligne-Mumford compactifications, their relation to GW invariants and Fukaya categories, and implications for symplectic cohomology.
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1 Lesons
1 hour 4 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
IMSA

Quantum Mirror Symmetry for the Conifold

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Explore open Gromov-Witten invariants for the conifold, examining operator equations, mirror curves, and connections to colored HOMFLYPT polynomials in this advanced mathematics lecture.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Quivers, Flow Trees, and Log Curves

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Explore the connection between Donaldson-Thomas invariants, attractor flow trees, and log Gromov-Witten invariants in quiver theory and toric geometry.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video