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QuantumTopology

9.12.2017 И.А. Тайманов - Теория пересечений и кольца когомологий

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Изучение теории пересечений и колец когомологий в топологии. Лекция охватывает фундаментальные концепции и их применение в современных исследованиях.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Heisenberg Homology of Surface Configurations

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Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
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1 Lesons
49 minutes
On-Demand
Free-Video
Institute for Advanced Study

Multimatroids and Rational Curves with Cyclic Action

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Explore the intersection of multimatroids and rational curves, discovering how these mathematical structures connect through combinatorial formulas and independence polytopal complexes in topological graph theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
Institute for Advanced Study

Towards Generalized Schubert Varieties and Anabelian Matroids

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Delve into advanced geometric theories connecting Huh's matroid discoveries with Schubert varieties, exploring applications in statistics and combinatorics through mixed Eulerian numbers.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Unitary Representations of Reductive Lie Groups

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Explore unitary representations of reductive Lie groups using Hodge theory, including progress on a conjecture. Joint work with Kari Vilonen presented by Harvard's Wilfried Schmid.
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11 Lesons
48 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
International Mathematical Union

Hodge Theory, Between Algebraicity and Transcendence

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Explore recent advances in Hodge theory, comparing algebraic structures and bounding transcendence using o-minimal geometry. Gain insights into complex algebraic varieties and their applications.
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13 Lesons
42 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Mikhail Katz - Collapsing Surfaces

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Exploring surface collapse in Riemannian geometry, focusing on critical points, intersection theory, and Toponogov comparison. Analyzes fiber homotopy and discrete integration against Euler characteristic.
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10 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds

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Explore virtual reductions of fundamental classes on moduli spaces of sheaves in Calabi-Yau 4-folds, examining applications to Donaldson-Thomas invariants and connections to threefold theories.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
IMSA

Topological Recursion for Hurwitz Theory and Intersection Theory of Moduli Spaces of Curves

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Explore topological recursion in Hurwitz theory and its connections to moduli spaces of curves. Discover ELSV-type formulae and their impact on understanding ramifications and cohomological field theories.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Intermediate Jacobians of Gushel-Mukai Varieties

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Explore intermediate Jacobians of Gushel--Mukai varieties, focusing on threefolds and fivefolds. Discover their connection to Albanese varieties of double EPW surfaces and related birational and categorical aspects.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 17

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Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 18

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Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 14

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Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 12

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Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP Mathematics

Tautological Rings of Moduli Spaces of Curves - Lecture 3

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Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
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1 Lesons
1 hour
On-Demand
Free-Video
ICTP Mathematics

Computation of the Vertical Vafa-Witten Invariants II

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Explore advanced algebraic geometry concepts, focusing on vertical Vafa-Witten invariants computation using localization on Hilbert schemes of points for toric surfaces.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
ICTP Mathematics

Residual Intersections

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Explore residual intersections in mathematics with expert M. CHARDIN, delving into advanced concepts and their applications in algebraic geometry.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Fields Institute

Schubert Problems of Types A and C in Macaulay2

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Explore Schubert problems in types A and C using Macaulay2, focusing on computational approaches in enumerative geometry and algebraic combinatorics.
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1 Lesons
37 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry: Modular Space of Curves - Lecture 15

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Explore modular spaces of curves, intersection theory, and dual graphs in algebraic geometry. Delve into pseudostable curves and Matthews theorem with expert insights.
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7 Lesons
42 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Space of Curves and Its Intersection Theory - Lecture 2

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Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.
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1 Lesons
1 hour 53 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Space of Curves and Its Intersection Theory - Lecture 1

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Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Real Loci of Non-Real Varieties - Mathematics Department Colloquium

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Explore cooriented submanifolds in real algebraic geometry, focusing on their properties, intersections, and linking numbers. Gain insights into the geometry of pencils and real projective spaces.
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1 Lesons
1 hour 3 minutes
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Free-Video
BIMSA

Intersection Theory on Moduli Space of Super Riemann Surfaces

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Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
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1 Lesons
51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Fano Manifolds and the Lefschetz Defect - Class 4

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Explore Fano manifolds and Lefschetz defect in this advanced algebraic geometry lecture. Gain insights into complex mathematical concepts and their applications in modern research.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Institute for Advanced Study

Matroids and Amplitudes: From Linear Independence to Scattering Theory

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Delve into the mathematical theory of matroids, exploring their relationship with scattering amplitudes, intersection theory, and positive geometry through advanced theoretical physics concepts.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Improved Covering Results and Intersection Theorems in Symmetric Groups via Hypercontractivity

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Delve into advanced mathematical concepts exploring covering results and intersection theorems in symmetric groups, featuring hypercontractivity and independent sets in Cayley graphs.
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1 Lesons
47 minutes
On-Demand
Free-Video
Institute for Advanced Study

Twisted (Co)homology of Matroids and Hyperplane Arrangement Complements

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Delve into advanced mathematical concepts exploring twisted (co)homology, hyperplane arrangements, and matroidal pairings, with applications to scattering amplitudes in physics.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video