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#Dimension Theory

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Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 3

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Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics. Gain insights into entropy and dimension addition.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures in Random Walks on Matrix Groups - Lecture Series

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Explore the dimension of stationary measures in random walks, focusing on matrix group actions over flag spaces. Gain insights into exact dimensions, partial answers, and the intricate structure of flag spaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 2

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Explore the dimension of stationary measures in random walks, focusing on matrix group actions over flag spaces. Gain insights into exact dimensions, partial answers, and the intricate structure of flag spaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 4

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Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

A Non-Archimedean Definable Chow Theorem

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Explore non-archimedean algebraization theorems and their applications in Diophantine geometry, focusing on a p-adic analogue of the definable Chow theorem.
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12 Lesons
45 minutes
On-Demand
Free-Video
IMSA

Blow Up Formulae and Invariants II - Dimension Theory

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Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.
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1 Lesons
58 minutes
On-Demand
Free-Video
ICTP Mathematics

Algebraic Geometry - Lecture 10

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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 8

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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 7

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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
Applied Algebraic Topology Network

Urysohn Width

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Explore the 100-year history and applications of Urysohn width, a metric invariant quantifying space approximation by simplicial complexes. Discover its role in dimension theory and modern geometric challenges.
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1 Lesons
54 minutes
On-Demand
Free-Video
Wrath of Math

Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

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Explore isomorphic vector spaces and their properties, including examples and proofs. Learn how all n-dimensional spaces relate to R^n and understand key concepts in linear algebra.
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17 Lesons
17 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Sticky Kakeya Sets and the Sticky Kakeya Conjecture

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Explore the intriguing world of Kakeya sets and delve into the sticky Kakeya conjecture. Uncover groundbreaking insights on this fundamental problem in harmonic analysis and Fourier transform behavior.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond

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Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Examine model theory applications.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 1

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Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Gain insights into model theory applications.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 2

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Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3

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Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 4

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Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.
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1 Lesons
55 minutes
On-Demand
Free-Video
BIMSA

On the Erdös-Ginzburg-Ziv Problem in Large Dimension

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Explore the Erdös-Ginzburg-Ziv Problem in high dimensions with Professor Lisa Sauermann, delving into advanced combinatorics and number theory concepts.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Applications of Additive Combinatorics to Problems in Fractal Geometry

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Explore applications of additive combinatorics in fractal geometry, focusing on self-similar sets with overlaps and recent advancements in the field.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

The Singular Set of Stable Minimal Hypersurfaces

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Explore stable minimal hypersurfaces, their singularities, and recent findings on constructing metrics with specific singular sets in higher dimensions.
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1 Lesons
49 minutes
On-Demand
Free-Video
Banach Center

Estimating Hausdorff Dimension via Iterated Function Schemes

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Explore methods for estimating Hausdorff dimension using iterated function schemes, presented by Mark Pollicott from the University of Warwick.
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1 Lesons
57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Dimension of Furstenberg Measures on Flag Spaces - DinAmicI in Rio

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Explore dimension of Furstenberg measures on flag spaces in this dynamic systems talk by François Ledrappier, part of the DinAmicI network meeting connecting Italian and Brazilian researchers.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Recent Progress on Dimension Drop Conjecture

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Delve into recent advances in dimension drop conjecture, exploring self-similar sets, Hochman's theorem, and exponential separation in fractal geometry with applications to algebraic parameters.
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1 Lesons
1 hour 50 minutes
On-Demand
Free-Video