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#Diophantine Approximation

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Simons Semester on Dynamics

On the Dani Correspondence and Its Applications - Lecture 3

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Delve into ergodic theory and dynamics applications in Diophantine approximation, exploring Dani's correspondence and its impact on understanding rational number density patterns.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Dani Correspondence and Its Applications - Lecture 2

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Delve into Diophantine approximation through ergodic theory, exploring the Dani correspondence and its dynamic interpretation of rational number density in the real line.
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9 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Semester on Dynamics

The Dani Correspondence and Its Applications in Diophantine Approximation - Lecture 1

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Explore the dynamic connection between ergodic theory and Diophantine approximation, focusing on Dirichlet's Theorem and its interpretation through orbital behavior in mathematical systems.
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1 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1

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Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.
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20 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Osama Khalil- Diophantine Approximation on Fractals and Homogeneous Flows

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Explore Diophantine approximation on fractals and homogeneous flows, examining exceptional sets and their connections to recurrence behavior. Discover new results on Hausdorff dimension of divergent orbits and self-similar measure projections.
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1 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Equidistribution of Expanding Translates of Curves in Homogeneous Spaces

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Explores equidistribution of expanding translates of non-degenerate real-analytic curves in semisimple group spaces, extending previous work and applying to Diophantine approximation on matrices.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Applications of Homogeneous Dynamics - Lecture 3

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Explore advanced concepts in homogeneous dynamics, focusing on applications and theoretical developments in this mathematical field.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
ICTP Mathematics

Applications of Homogeneous Dynamics - Lecture 2

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Explore advanced concepts in homogeneous dynamics, focusing on applications and theoretical developments presented by renowned mathematicians Marklof and Strombergsson.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 4

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Explore circle rotations and renormalization techniques in dynamical systems, focusing on advanced mathematical concepts and their applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 3

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Explore circle rotations and renormalization techniques in dynamical systems, focusing on advanced mathematical concepts and their applications.
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1 Lesons
51 minutes
On-Demand
Free-Video
ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 2

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Explore advanced concepts in dynamical systems, focusing on circle rotations and renormalization techniques with expert insights from Corinna Ulcigrai.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 2

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Explore advanced topics in linear groups and Diophantine approximation, focusing on bounded generation and its applications in number theory and geometric analysis.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 3

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Explore advanced concepts in linear groups and Diophantine approximation, focusing on bounded generation techniques and their applications in number theory and geometric analysis.
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1 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

Equidistribution of Polynomial Sequences in Function Fields

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Explore equidistribution of polynomial sequences in function fields, examining mathematical concepts and their applications in number theory and algebraic geometry.
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1 Lesons
28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Bounded Generation of Linear Groups and Diophantine Approximation - Lecture 1

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Explore Zariski-dense subgroups, number theory, and geometric applications in this lecture on bounded generation of linear groups and Diophantine approximation.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 1

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 3

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 2

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

The Markov Ordering of the Rationals

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Explore hyperbolic geometry's role in characterizing monotonicity of rational number ordering on a modular torus, connecting to Diophantine approximation and number theory.
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1 Lesons
54 minutes
On-Demand
Free-Video
BIMSA

Open Problems in Diophantine Approximation and Geometry of Numbers

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Explore open problems in Diophantine Approximation and Geometry of Numbers, focusing on approximation of subspaces in R^d by rational subspaces and related mathematical concepts.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
BIMSA

Homogeneous Dynamics and Probabilistic Diophantine Approximations - Cauchy Limit Laws for Linear Forms

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Explore homogeneous dynamics and probabilistic Diophantine approximations, focusing on Cauchy limit laws for linear forms with random coefficients and lattice counting problems.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Kolmogorov-Seminar

Erdos Problem About Bad Denominators and Its Combinatorial Solution

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Delve into a fascinating mathematical exploration of rational approximations, combining number theory with word combinatorics to solve Erdos' problem of finding numbers resistant to specific denominators.
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1 Lesons
2 hours
On-Demand
Free-Video