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#Deformation Theory

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Simons Semester on Dynamics

Birkhoff Sums as Distributions in Dynamical Systems

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Explore Birkhoff sums as distributions in dynamical systems, examining regularity results for hyperbolic systems and applications to deformation theory in one-dimensional dynamical systems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Connectedness and Deformation by Conjugation of Actions on [0,1] or S^1

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Explore connectedness and deformation by conjugation of actions on [0,1] or S^1 in this advanced mathematical lecture by Hélène Eynard-Bontemps.
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1 Lesons
1 hour
On-Demand
Free-Video
IMSA

Deformations of Semi-Smooth Varieties

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Explore deformation theory of semi-smooth varieties, focusing on tangent sheaf and T^1 sheaf. Discusses smoothability of semi-smooth Godeaux surfaces as an application.
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8 Lesons
42 minutes
On-Demand
Free-Video
IMSA

Rigid Compact Complex Manifolds - Properties and Examples

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Explore rigid compact complex manifolds, their properties, and recent findings in product-quotient varieties, addressing long-standing questions in algebraic geometry.
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16 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Moduli Space of Non-Archimedean Holomorphic Disks Pt. II

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Explore non-Archimedean holomorphic disks in affine log Calabi-Yau varieties, covering boundary conditions, smoothness, dimension, and properness. Gain insights into non-Archimedean mirror symmetry and related theories.
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19 Lesons
1 hour 1 minute
On-Demand
Free-Video
International Centre for Theoretical Sciences

Moduli Spaces of Parabolic Connections and Parabolic Bundles and Geometric Langlands by M-H Saito

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Explore moduli spaces of parabolic connections and bundles, their properties, and applications in Geometric Langlands. Covers deformation theory, symplectic structures, and key theorems in this advanced mathematical topic.
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26 Lesons
1 hour 18 minutes
On-Demand
Free-Video
IMSA

Coassociative Fibrations in G2 Geometry

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Explore G2 geometry in 7D spaces, focusing on coassociative submanifolds. Learn about their properties, deformation theory, and constructions forming fibrations with singular fibers in 7-manifolds.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Deformation Theory for Finite Cluster Complexes

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Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.
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1 Lesons
59 minutes
On-Demand
Free-Video
ICTP Mathematics

Geometry of Moduli Spaces of Curves - Lecture 1

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Explore geometric aspects of moduli spaces of curves with O. Tommasi. Delve into advanced mathematical concepts and their applications in this comprehensive lecture from the Summer School.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Raf Bocklandt: Deforming Dimers

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Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Deformations of Path Algebras of Quivers With Relations

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Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Deformations of Path Algebras of Quivers with Relations

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Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
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1 Lesons
59 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Deformations of Path Algebras of Quivers With Relations - Lecture I

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Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
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1 Lesons
42 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Deformation of Representation and Fusion Rings for a Lie Algebra by Swarnava Mukhopadhyay

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Explores deformation theory in representation and fusion rings of Lie algebras, discussing mathematical concepts and their applications in algebraic and combinatorial methods.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hochschild Cohomology and Deformation Theory of Hilbert Schemes of Points on Surfaces

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Explore Hochschild cohomology of Hilbert schemes, its impact on deformation theory, and connections to symmetric quotient stacks. Gain insights into twisted Hodge numbers and recent research developments.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Heights on Curves and Limits of Hodge Structures

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Explore the connection between Néron-Tate heights on smooth curves and biextension heights of limit mixed Hodge structures, with implications for computing Beilinson-Bloch heights in higher dimensions.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Fields Institute

From Symplectic Deformation to Isotopy - Equivariant Perspective

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Explore symplectic deformation and equivariant isotopy in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
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1 Lesons
54 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Super Stable Maps of Genus Zero - Moduli Spaces and Normal Bundles

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Explore moduli spaces and normal bundles of super stable maps in genus zero, delving into advanced mathematical concepts and their applications.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

On Deformations Over Non-Commutative Base

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Explore deformations over non-commutative base with Professor Yujiro Kawamata, delving into advanced mathematical concepts and their applications in algebraic geometry.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Empty Real Plane Sextic Curves

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Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
BSS Physics School

Geometry of Shape Change - Lecture 2

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Explore advanced concepts in shape change geometry, focusing on mathematical principles and applications in physics and materials science.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
BSS Physics School

Geometry of Shape Change I - Lecture 1

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Explore the geometry of shape change through an in-depth lecture by E. Matsumoto, covering fundamental concepts and advanced theories in this field of physics.
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1 Lesons
1 hour 41 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

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Explore the KSBA moduli space of stable log Calabi-Yau surfaces, delving into its properties, connections to toric varieties, and recent developments in algebraic geometry and mirror symmetry.
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1 Lesons
56 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Higher Structures and Deformations of Non-Commutative Spaces

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Explorez les structures supérieures et déformations des espaces non commutatifs, en examinant la théorie des déformations et les modèles algébriques pour les espaces.
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1 Lesons
48 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
Institut des Hautes Etudes Scientifiques (IHES)

Kontsevich's Star-Product up to Order Seven for Affine Poisson Brackets

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Explore Kontsevich's star-product formula for affine Poisson brackets, examining its expansion up to seventh order and investigating the mechanism of associativity in higher orders.
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1 Lesons
48 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

On Resurgent Poisson Structures and Deformations

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Explore Z-resurgent series algebra, alien derivations, and their applications in constructing Poisson structures and non-commutative deformations of algebraic products.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Hilbert Spaces of Square Integrable Holomorphic Functions

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Explore square integrable holomorphic functions, their historical development, and recent advancements in complex analysis and geometry through Bergman spaces.
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1 Lesons
57 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Graph Complex Action on Poisson Structures: From Theory to Computation

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Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.
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1 Lesons
49 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Deformations of Exterior Differential Ideals

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like deformations of exterior differential ideals.
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1 Lesons
46 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

On the Formal Principle for Curves on Projective Surfaces

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into recent advances in complex algebraic geometry and foliation theory.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Polymatroidal Tilings Associated to Limit Linear Series

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like Fano 3-folds, logarithmic foliations, and curve singularities.
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1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Fiberwise Criteria for Forms of Algebras

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Explore advanced concepts in foliation theory and algebraic geometry, focusing on fiberwise criteria for forms of algebras. Gain insights from renowned mathematician Arturo Pianzola.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Moduli Problems and Birational Geometry

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Gain insights from experts on moduli problems, birational geometry, and their interactions in complex mathematics.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Foliations and the Geometry of Complex Elliptic Surfaces

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into complex mathematical concepts at this celebratory conference.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - On the Deformation Theory of Foliations

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Explore deformation theory of foliations in algebraic geometry. Gain insights from expert Sebastián Velazquez on cutting-edge research in holomorphic foliation theory and its interactions with complex algebraic geometry.
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1 Lesons
57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Envelopes of Families of Linear Spaces

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like envelopes of linear space families.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

The Kawamata-Morrison Cone Conjecture for Quotients of Abelian Varieties

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like the Kawamata-Morrison Cone Conjecture for Abelian Varieties quotients.
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1 Lesons
30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry - Ulrich Bundles and Complexity of Complete Intersections

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Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like Ulrich bundles and complete intersections.
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1 Lesons
56 minutes
On-Demand
Free-Video
Galileo Galilei Institute

BV-Infinity Quantization of (-1)-Shifted Derived Poisson Manifolds

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Explore advanced mathematical concepts in derived geometry, focusing on BV_∞ quantization techniques for (-1)-shifted derived Poisson manifolds with expert Ping Xu.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Galileo Galilei Institute

Kontsevich-Duflo Theorem for Differential Graded Manifolds

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Explore the Kontsevich-Duflo theorem's application to differential graded manifolds, delving into advanced mathematical concepts and their implications in this field.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Bootstrapping Deformations of O(n)

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Explore deformations of O(n) symmetry through advanced bootstrapping techniques in this theoretical physics lecture by Stefanos Kousvos.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Belavin-Drinfeld Quantum Groups - Survey and Future Directions

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Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.
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1 Lesons
46 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Non-interpenetration in Thin-film Models of Elastic Solids

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Explore non-interpenetration in thin-film models for elastic solids, focusing on dimension reduction, membrane regimes, and suitable conditions for preventing material penetration.
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Injectivity in Second-Gradient Nonlinear Elasticity

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Explore injectivity in second-gradient nonlinear elasticity, delving into advanced mathematical concepts and their applications in materials science.
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1 Lesons
36 minutes
On-Demand
Free-Video
Institute for Advanced Study

Maximal Mumford Curves and Graph Embeddings in Real Algebraic Geometry

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Explore the geometric properties of MM-curves, focusing on real stable curves, hyperplane arrangements, and graph embeddings in relation to Mumford curves and their deformations.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Banach Center

Eulerian Mechanics of Finitely-Strained Multipolar Media

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Explore advanced concepts in Eulerian mechanics, focusing on finitely-strained multipolar media and their applications in mathematical physics.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Advanced Study

Lower Bound Barriers in Complexity Theory and Overcoming Them With Geometry

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Explore the evolution of complexity theory's lower bound barriers through geometric perspectives, from linear algebra to advanced mathematical concepts in algebraic geometry and representation theory.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institute for Advanced Study

Train Track Automata for Outer Automorphisms of Free Groups and Geodesics in Outer Space

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Delve into advanced group theory concepts exploring train track automata, outer automorphisms of free groups, and geodesics in outer space through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
43 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Deformations of Lagrangian NQ Submanifolds

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Dive into advanced mathematical concepts exploring deformations of Lagrangian NQ submanifolds and their theoretical implications in mathematical physics.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video