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#Homological Mirror Symmetry

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IMSA

Homological Mirror Symmetry for Log Calabi-Yau Surfaces

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Explore homological mirror symmetry for log Calabi-Yau surfaces, including construction of mirror Landau-Ginzburg models and connections to SYZ fibrations and previous research.
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11 Lesons
52 minutes
On-Demand
Free-Video
IMSA

A Categorical Interpretation of the GKZ D-Module

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Explore the categorical interpretation of GKZ D-modules in toric homological mirror symmetry, focusing on B-side categories and characteristic cycle strata.
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16 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

A Tropical Approach to Homological Mirror Symmetry of Quadrics

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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.
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11 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Lagrangian SYZ Fibrations

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Explore Lagrangian SYZ fibrations in symplectic geometry, focusing on integral affine manifolds with singularities and the construction of local models and gluing techniques.
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14 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Nikita Nekrasov

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Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
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22 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Maxim Kontsevich Pt. III

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Explore advanced algebraic concepts with Maxim Kontsevich, focusing on Getzler-Gauss-Manin connections for non-commutative algebras and their applications in quantum mathematics.
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13 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

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Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.
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24 Lesons
3 hours 12 minutes
On-Demand
Free-Video
International Mathematical Union

Tamas Hausel - Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems

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Explore enhanced mirror symmetry for Langlands dual Hitchin systems, covering topics from SYZ mirror symmetry to equivariant cohomology and Kirillov algebras.
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10 Lesons
47 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Theta Divisors

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Exploring homological mirror symmetry for theta divisors in principally polarized abelian varieties, with insights from ongoing research in complex moduli and SYZ fibrations.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Gromov-Hausdorff Convergence of Filtered A Infinity Categories

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Explore Floer homology's dependence on Hamiltonian isotopy, its multiplicative structure, and connections to homological Mirror symmetry in formal deformation theory.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Mirror Symmetry and Cluster Varieties

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Explore symplectic geometry of cluster varieties and their applications to mirror symmetry, including homological mirror symmetry for Gross-Hacking-Keel cluster varieties.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces

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Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
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

Mirrors of Curves and Their Fukaya Categories II

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Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Higher Dimensional Pairs of Pants

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Explore homological mirror symmetry for higher dimensional pairs-of-pants, examining the equivalence between wrapped Fukaya category and derived category of coherent sheaves on coordinate hyperplanes.
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1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Mirrors of Curves and Their Fukaya Categories I

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Explores homological mirror symmetry for curves, focusing on symplectic geometry of mirrors and comparing coherent sheaves to Fukaya categories. Discusses Landau-Ginzburg models and fiberwise wrapped Fukaya categories.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks

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Explore non-archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness in the context of mirror symmetry.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - DT Invariants & Holomorphic Curves

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Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, with applications in enumerative geometry and insights from quantum field theories.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Coulomb Branches & Rozansky-Witten Theory Pt. II

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Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact and infinite-dimensional target spaces.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

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Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Coulomb Branches and Rozansky-Witten Theory

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Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact spaces and ongoing research.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Twisted Shklyarov Pairing & Applications

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Explore twisted Shklyarov pairing in Hochschild homology, its applications to Lefschetz fibrations, mirror symmetry, and classical problems. Joint work with Paul Seidel presented.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Homological Link Invariants from Floer Theory

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Explore a groundbreaking connection between homological mirror symmetry and representation theory, solving the knot categorification problem and generalizing Heegard-Floer theory to simple Lie superalgebras.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Theta Divisors

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Explore complex moduli of theta divisors in abelian varieties and their mirror Landau-Ginzburg models, focusing on global homological mirror symmetry across the entire moduli space.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Functorial Mirror Symmetry for Very Affine Hypersurfaces

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Explore functorial mirror symmetry for very affine hypersurfaces, examining Auroux's conjectures and their modifications to account for derived structures in complement mirrors.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Yan Soibelman

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Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Introduction to 3D Mirror Symmetry

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Explore 3d mirror symmetry's duality between holomorphic symplectic manifolds, focusing on a new 2-categorical formulation that extends homological mirror symmetry concepts.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry and Higgs-Coulomb Correspondence in Abelian GLSMs

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Explore Higgs-Coulomb correspondence in abelian GLSMs, examining virtual counts of Landau-Ginzburg quasimaps and Mellin-Barnes integrals. Learn about wall-crossing and stability conditions in GLSM invariants.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

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Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with expert Mohammed Abouzaid.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds

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Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.
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1 Lesons
54 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

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Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with Mohammed Abouzaid.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

On the Rouquier Dimension of Wrapped Fukaya Categories

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Explores Rouquier dimension of wrapped Fukaya categories, linking symplectic topology to algebraic geometry through homological mirror symmetry. Discusses applications to Lagrangian intersections and Lefschetz fibrations.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Hypersurface Singularities II

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Explores graded matrix factorizations of invertible polynomials and stability conditions in homological mirror symmetry for singularities, continuing from a previous lecture.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry for Hypersurface Singularities

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Explore homological mirror symmetry for hypersurface singularities, covering basic definitions, Berglund-Hubsch duality, known results, and detailed examples in this advanced mathematics lecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

D-Modules and Toric Schobers

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Exploring mirror symmetry using perverse sheaves of categories and schobers, with focus on B-side category in toric homological mirror symmetry and associated D-module characteristic cycles.
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1 Lesons
59 minutes
On-Demand
Free-Video
IMSA

Homotopy Path Algebras

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Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating

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Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Homological Mirror Symmetry for Not-So-Simple Singularities - Yanki Lekili

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Explore homological mirror symmetry for invertible polynomials' Milnor fibers, focusing on explicit conjectures and proofs for simple and not-so-simple singularities.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry: Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry and their impact on Mathematics. Join experts to survey new results and discover collaborative opportunities in this field.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Hodge Structures in 8-Dimensional Homotopy Hopf Manifolds

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Explore Hodge structures on 8-dimensional homotopy Hopf manifolds, examining connections between these structures and K3 surfaces, with implications for Homological Mirror Symmetry.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative mathematical field.
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1 Lesons
55 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions. Part of a conference celebrating Jeffrey Fuqua's contributions to Mathematics.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry: Recent Developments and Future Directions

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Explore recent developments in Homological Mirror Symmetry with Constantin Teleman. Survey new results and discover potential directions for future research and collaboration.
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1 Lesons
45 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

Homological Mirror Symmetry - Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions. Part of a conference honoring Jeffrey Fuqua's contributions to mathematics.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Explores recent developments in Homological Mirror Symmetry, surveying new results and opening directions for future research in this mathematical field.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this mathematical field.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry: Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry and honor Jeffrey Fuqua's contributions to Mathematics in this insightful conference talk.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future research and collaboration in this mathematical field.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Bipartite Graphs in Tn and Toric Mirror Symmetry

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Explore bipartite graphs in Tn and their role in toric mirror symmetry, focusing on combinatorial descriptions of homological mirror symmetry and coherent sheaves on toric varieties.
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1 Lesons
44 minutes
On-Demand
Free-Video
IMSA

Rouquier Dimension Equals Krull Dimension for Toric Varieties

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Explore the equality of Rouquier and Krull dimensions for toric varieties, delving into homological mirror symmetry and a multi-graded version of Hilbert's syzygy theorem.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry: Recent Developments and Future Directions

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Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in mathematics.
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1 Lesons
55 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Recent Developments and Future Directions

0 rewiews
Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions in this mathematical field. Honors Jeffrey Fuqua's contributions to the subject.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry: Recent Developments and Future Directions

0 rewiews
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Equivariant Lagrangian Correspondences and Applications

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Explore equivariant Lagrangian correspondences and their applications in mathematics, focusing on advanced concepts and theoretical frameworks.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 3

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Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Mirror Symmetry via Floer Theoretic Invariants

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Explore generalized Delzant subdomains, relative symplectic cohomology, and mirror symmetry construction using Floer theoretic invariants. Delve into HMS functor and local generation concepts.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Structural Features of 3D Mirror Symmetry

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Explore homological 3d mirror symmetry, its equivalences, and applications in toric settings. Uncover connections to hypertoric Koszul duality and Tate's thesis.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Stable Envelopes from 2D Mirror Symmetry

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Explore stable envelopes through 2D mirror symmetry, connecting equivariant K-theory and Fukaya categories in Coulomb branches. Gain insights into homological mirror symmetry predictions.
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1 Lesons
1 hour 30 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
Institut des Hautes Etudes Scientifiques (IHES)

Homological Mirror Symmetry and Quantum Link Invariants

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Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

An Update on SYZ Mirror Symmetry and Family Floer Theory

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Explore Strominger-Yau-Zaslow approach to homological mirror symmetry, focusing on Lagrangian torus fibrations and Fukaya-Floer algebra construction for mirror symmetry in complex geometry.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Deep Locus of Cluster Varieties

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Explore the deep locus of cluster varieties, focusing on finite types with full rank and specific infinite types. Gain insights into applications for homological mirror symmetry of Grassmannians.
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1 Lesons
38 minutes
On-Demand
Free-Video
BIMSA

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

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Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
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1 Lesons
57 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Progress in Quantum Toric Geometry

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Explore recent developments in quantum toric geometry, moduli spaces of toric varieties, and their conjectural links to birational geometry, drawing from cutting-edge research in the field.
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1 Lesons
56 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 1

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Explore BPS spectra and quantum invariants in theoretical physics, focusing on fundamental concepts and their applications in modern research.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video