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#Conformal Mappings

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Marine Hydrodynamics

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Explore marine hydrodynamics, from basic principles to advanced concepts. Learn about fluid dynamics, wave motion, and boundary layer theory applied to marine environments.
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40 Lesons
1 day 12 hours
On-Demand
Free-Video
Simons Semester on Dynamics

Integral Means Spectrum: Examples of Exact Computation

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Explore the multifractal spectrum of harmonic measure and integral-means spectrum of Riemann maps through explicit computations in deterministic and random cases.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Dr. Gajendra Purohit

Complex Analysis - Differentiation and Integration

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Comprehensive exploration of complex analysis, covering analytical functions, transformations, integrations, and series expansions with practical examples and problem-solving techniques.
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29 Lesons
7 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 18

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Explore conceitos avançados de Superfícies de Riemann em uma aula de doutorado ministrada pelo Prof. Paulo Sad, aprofundando o conhecimento em geometria complexa.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 17

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Aprofunde-se na teoria das Superfícies de Riemann com foco em tópicos avançados de doutorado, explorando conceitos complexos e suas aplicações na matemática pura.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 24

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Aprofunde-se na teoria das Superfícies de Riemann com o Professor Paulo Sad, explorando conceitos avançados e aplicações em geometria complexa e topologia algébrica.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 22

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Explore conceitos avançados de Superfícies de Riemann em nível de doutorado, aprofundando-se na teoria matemática complexa e suas aplicações.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 21

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Aprofunde-se na teoria das Superfícies de Riemann com o Professor Paulo Sad, explorando conceitos avançados e aplicações em geometria complexa e topologia algébrica.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 20

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Aprofunde-se nas complexidades das Superfícies de Riemann nesta aula avançada de doutorado, explorando conceitos fundamentais e aplicações na geometria complexa.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Anti-holomorphic Dynamical Systems on a Torus - Applications to Weierstrass Functions

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Explore complex dynamics through anti-holomorphic systems on a torus, examining Weierstrass zeta-functions and their applications to Green functions and constant curvature metrics.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Estimating Dimension and Lyapunov Exponents - Lecture 1A

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Explore advanced mathematical concepts of Hausdorff dimension, Lyapunov exponents, and their applications in dynamical systems and number theory through detailed theoretical analysis.
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6 Lesons
37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Discrete Charm of Geometry by Alexander Bobenko

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Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.
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23 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Bounded Mean Oscillation - Part 1

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Explore bounded mean oscillation in analytic function spaces, covering key theorems, distribution functions, conformal mappings, and block spaces in this comprehensive lecture.
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11 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Blaschke Products and Inner Functions - Part 3

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Explore advanced concepts in complex analysis, focusing on Blaschke products and inner functions in this in-depth mathematical lecture by Artur Nicolau.
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1 Lesons
52 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Dimers and M-curves: Limit Shapes from Riemann Surfaces

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Explore dimer models, M-curves, and limit shapes through algebraic geometry, integrating Riemann surfaces and Schottky uniformization. Gain insights into statistical mechanics and discrete geometry.
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1 Lesons
53 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Random Aggregation on the Complex Plane and the Hastings-Levitov Models

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Explore random aggregation on complex planes through ALE models, including Hastings-Levitov models. Discover scaling limits, fluctuations, and connections to fundamental discrete models in statistical mechanics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Story of 1D Holomorphic Dynamics

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Explore the fascinating world of one-dimensional holomorphic dynamics with expert Mikhail Lyubich, delving into complex mathematical concepts and their applications.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Discrete Conformal Geometry of Polyhedral Surfaces - Part I

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Explore discrete conformal geometry of polyhedral surfaces, focusing on curvature and rigidity concepts in non-Riemannian geometry.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Complex Analysis in Lean

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Explore complex analysis implementation in Lean, focusing on key concepts and theorem formalization for mathematicians and computer scientists.
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1 Lesons
49 minutes
On-Demand
Free-Video
HyperComplex Seminar

Evolutionary Type Inequalities for Products of Inner Radii

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Explore evolutionary inequalities for inner radii products, delving into holomorphic functions of one variable in this advanced mathematical seminar.
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1 Lesons
26 minutes
On-Demand
Free-Video
Banach Center

Quasisymmetry and Self-Similarity of Siegel Disks

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Explore quasisymmetry and self-similarity in Siegel disks, delving into advanced mathematical concepts with Denis Gaidashev from Uppsala University.
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1 Lesons
51 minutes
On-Demand
Free-Video
Banach Center

Local Connectivity of Boundaries of Tame Fatou Components of Meromorphic Maps

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Explore local connectivity of boundaries in tame Fatou components for meromorphic maps, delving into complex dynamics and geometric function theory.
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1 Lesons
52 minutes
On-Demand
Free-Video
Banach Center

Boundary Behaviour of Universal Covering Maps and Applications

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Explore boundary behavior of universal covering maps and their applications in mathematics, focusing on advanced topological concepts.
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1 Lesons
54 minutes
On-Demand
Free-Video
Banach Center

Slices of Cubic Rational Maps with Parabolics

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Explore cubic rational maps with parabolics, delving into their slices and mathematical properties. Gain insights into complex dynamics and algebraic geometry.
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1 Lesons
47 minutes
On-Demand
Free-Video