Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Convex Geometry

Showing: 48 courses

Math for Society

0 rewiews
Explore misleading graphs, convex regions, compactness, polls, expected value, compound interest, exponential functions, and logarithms to enhance your mathematical understanding for real-world applications.
Add to list
11 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Floating Bodies and Duality in Spaces of Constant Curvature

0 rewiews
Explores p-affine surface area and floating bodies in curved spaces, extending Meyer & Werner's Euclidean results to spherical and hyperbolic geometries. Examines limiting behavior as curvature approaches zero.
Add to list
1 Lesons
30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Some Problems About Centroids of Convex Bodies

0 rewiews
Explore recent advancements in understanding centers of mass for convex bodies, delving into mathematical concepts and their implications.
Add to list
1 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Convex Geometry of Blind Deconvolution and Matrix Completion Revisited

0 rewiews
Explores convex geometry in blind deconvolution and matrix completion, analyzing dimensional factors in noise bounds and proposing alternative error scaling approaches for low-rank matrix recovery problems.
Add to list
23 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Daniel Dadush- Integer Programming and the Kannan-Lovasz Conjecture

0 rewiews
Explore advanced integer programming techniques, lattice theory, and the Kannan-Lovasz conjecture in this high-level overview of solving n-variable integer programs efficiently, with insights into recent progress and key concepts.
Add to list
17 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Nonrational Toric Geometry III - Quasifolds, Foliations, Combinatorics and One-parameter Families

0 rewiews
Explores nonrational toric geometry through quasifolds, foliations, and combinatorics, extending classical toric geometry to new contexts and examining one-parameter families of toric quasifolds.
Add to list
23 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Some Tight Convexity Inequalities for Symmetric Convex Sets

0 rewiews
Explores tight convexity inequalities for symmetric convex sets, focusing on Gaussian measure, isoperimetric problems, and Dirichlet-Poincare inequality. Discusses progress using L2 methods and energy minimization.
Add to list
17 Lesons
40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture I

0 rewiews
Explore the KLS conjecture in high-dimensional geometry, its implications for Bourgain's slicing problem, and recent progress using Eldan's Stochastic Localization technique.
Add to list
10 Lesons
46 minutes
On-Demand
Free-Video
International Mathematical Union

Keith Ball- The Probabilistic Character of Convex Domains

0 rewiews
Explore the probabilistic nature of convex domains with mathematician Keith Ball, delving into geometric concepts and their applications in probability theory.
Add to list
1 Lesons
41 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

One More Proof of the Alexandrov-Fenchel Inequality

0 rewiews
Explore a concise proof of the Alexandrov-Fenchel inequalities for mixed volumes of convex bodies, presented by Bo'az Klartag in collaboration with other mathematicians.
Add to list
1 Lesons
42 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Blaschke–Santaló Inequalities for Minkowski and Asplund Endomorphisms

0 rewiews
Explores new isoperimetric inequalities for monotone Minkowski endomorphisms, extending to Asplund endomorphisms of log-concave functions, generalizing the Blaschke–Santaló inequality in convex geometric analysis.
Add to list
1 Lesons
43 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Ilya Molchanov - Random Sets Generated by Translates of a Convex Body

0 rewiews
Explores K-hulls and K-strongly convex sets, analyzing facial structures and applying theory to random point samples. Discusses convergence of f-vectors and related probabilistic results.
Add to list
1 Lesons
30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Large Deviations Approach to High-Dimensional Convex Bodies - Lecture I

0 rewiews
Explores large deviation principles in high-dimensional convex bodies, focusing on non-universal behaviors in random projections and their relation to underlying geometry.
Add to list
1 Lesons
51 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Mysterious Extremals of the Alexandrov-Fenchel Inequality

0 rewiews
Explore the Alexandrov-Fenchel inequality's extremal bodies, recent progress in characterizing them for convex polytopes, and insights into this fundamental problem in convex geometry.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

On Yuansi Chen's Work on the KLS Conjecture II

0 rewiews
Explores recent progress on the KLS conjecture in high-dimensional geometry, focusing on Yuansi Chen's work and Eldan's Stochastic Localization technique. Discusses implications for Bourgain's slicing problem.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Separation Theorems in Signed Tropical Convexities

0 rewiews
Explores separation theorems in signed tropical convexities, comparing TO and TC-convexities. Presents new results on hyperplane separation, characterizes segments and hemi-spaces, and proves equivalence for generic point collections.
Add to list
11 Lesons
32 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics and Symmetry of Ancient Convex Mean Curvature Flows - Lecture 5

0 rewiews
Explore dynamics and symmetry of ancient convex mean curvature flows in this advanced mathematics lecture by Sigurd Angenent from the University of Wisconsin-Madison.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Paul G. Allen School

A Generalized Central Limit Conjecture for Convex Bodies

0 rewiews
Explore a generalized central limit theorem for convex bodies, its connection to the KLS conjecture, and implications for asymptotic convex geometry in this advanced mathematics lecture.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Local Uniqueness Results for Centroid Bodies

0 rewiews
Explore local uniqueness of centroid bodies through hyperplane conditions, examining volume, area, inertia, and distance properties to determine if specific combinations imply a Euclidean ball shape.
Add to list
1 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Pierre Calka- Close-Up on Random Convex Hulls

0 rewiews
Explore random convex hulls, Hausdorff distance, and asymptotic expansions in this mathematical talk on geometric probability and stochastic geometry.
Add to list
1 Lesons
28 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Aleksandrov Projection Theorem for Convex Lattice Polygons

0 rewiews
Explore the discrete analogue of Aleksandrov's projection theorem for convex lattice polygons, examining counterexamples and their implications in Z^2.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Recent Advances in Valuations on Function Spaces

0 rewiews
Explore recent developments in valuations on function spaces, focusing on convex and continuous functions, with insights into measure-valued valuations and their classifications.
Add to list
1 Lesons
41 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Lefschetz Operators on Minkowski Valuations

0 rewiews
Explore Lefschetz operators' action on continuous Minkowski valuations compatible with rigid motions, including difference body, projection body, and mean section body maps.
Add to list
1 Lesons
22 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Entropy, Isotropic Constant and Mahler's Conjecture

0 rewiews
Explores connections between entropy, isotropic constant, and Mahler's conjecture in convex geometry. Discusses functional forms of Klartag's work and adaptations for log-concave functions.
Add to list
1 Lesons
56 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Comparison Problems for the Radon Transform

0 rewiews
Explores comparison problems for Radon transforms, examining conditions for L^p-norm inequalities and introducing function classes generalizing intersection bodies, with applications to slicing inequalities.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

MM-Estimates, Regular M-Ellipsoids and Distances Between Convex Bodies

0 rewiews
Explores convex bodies in n-dimensional space, focusing on mean width, MM* estimates, and their relation to covering efficiency and distances between convex bodies. Discusses symmetric vs non-symmetric cases.
Add to list
1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Is There a Triangle Inequality for Measures of Compact, Convex Sets?

0 rewiews
Explore geometric inequalities for convex bodies, focusing on surface area, Minkowski sums, and measure properties. Examine recent findings on monotonicity and supermodularity for Borel and Radon measures.
Add to list
1 Lesons
25 minutes
On-Demand
Free-Video
Simons Institute

Nash Social Welfare and A Tale of Mathematical Programs

0 rewiews
Explore determinant maximization, its applications in machine learning and game theory, and techniques like matroid intersection methods for solving this abstract problem.
Add to list
1 Lesons
28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Funk Metric in Convex Geometry and Related Fields

0 rewiews
Explore the Funk metric's connections to convex geometry, affine geometry, and combinatorics. Discover its projective invariance and relations to various conjectures and theorems.
Add to list
1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Realization Spaces of Polytopes and Oriented Matroids

0 rewiews
Explore realization spaces of polytopes and oriented matroids in this advanced mathematical lecture by Arnau Padrol at CIRM's thematic meeting.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

The Mahler Conjecture, Billiards and Systolic Inequalities

0 rewiews
Explore Mahler conjecture, billiards, and systolic inequalities in mathematics. Gain insights from Vinicius Ramos's lecture at IMPA's 70th anniversary conference featuring international mathematicians.
Add to list
1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Institute for Advanced Study

Additive Structures in Subset Sums, Non-Averaging Sets and Convex Geometry

0 rewiews
Explore additive structures in subset sums, non-averaging sets, and convex geometry with insights from postdoctoral research in advanced mathematics.
Add to list
1 Lesons
19 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Symplectic Capacities, Viterbo Isoperimetric Conjecture, and Contact Manifolds with Closed Reeb Orbits

0 rewiews
Explore symplectic capacities, Viterbo's conjecture, and their impact on symplectic geometry. Gain insights into convex geometry applications and closed Reeb orbits in contact manifolds.
Add to list
1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Gromov's Rigidity Theorem for Polytopes with Acute Angles

0 rewiews
Explore recent developments in dihedral rigidity, focusing on Gromov's conjecture and Brendle-Wang's alternative smoothing construction for polytopes with acute angles.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Around the Alexandrov-Fenchel Inequality - Convex Geometry and Its Applications

0 rewiews
Explore the history and recent progress in convex geometry, focusing on Minkowski's theory and its connections to various mathematical disciplines.
Add to list
1 Lesons
54 minutes
On-Demand
Free-Video
BIMSA

Geometry and Integers - Connections Between Number Theory and Geometric Structures

0 rewiews
Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.
Add to list
1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
BIMSA

Sharp Stability for the Brunn-Minkowski Inequality for Arbitrary Sets

0 rewiews
Explore sharp stability in the Brunn-Minkowski inequality for arbitrary sets, delving into combinatorics and its connections with metric geometry and analysis.
Add to list
1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Exponential Decay of Intersection Volume and Applications

0 rewiews
Explore exponential decay of intersection volume and its applications in extremal and probabilistic combinatorics with distinguished researcher Hong Liu.
Add to list
1 Lesons
50 minutes
On-Demand
Free-Video
BIMSA

Complex Brunn-Minkowski Theory and Uniqueness Theorems in Kähler Geometry

0 rewiews
Explore complex Brunn-Minkowski theory and its applications in Kähler geometry, focusing on uniqueness theorems and generalizations of Bando-Mabuchi's work on Kähler-Einstein metrics.
Add to list
1 Lesons
46 minutes
On-Demand
Free-Video
Institute for Advanced Study

Derived Categories of the Permutahedral Varieties

0 rewiews
Delve into the geometric and combinatorial analysis of derived categories in toric varieties, exploring permutahedron's role in matroid theory through convex-geometric approaches.
Add to list
1 Lesons
55 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Contextuality without Incompatibility in Quantum Measurements

0 rewiews
Explore quantum contextuality without measurement incompatibility, challenging conventional understanding. Delve into a new convex-geometric framework for generalized contextuality in quantum systems.
Add to list
1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Entangleability of Cones

0 rewiews
Explore tensor products of finite-dimensional proper cones, solving Barker's conjecture using convex geometry and algebraic topology, with applications to entanglement in non-classical systems.
Add to list
1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Institute for Advanced Study

Linear Stability of the Brunn-Minkowski Inequality

0 rewiews
Delve into advanced mathematical concepts exploring the linear stability of Brunn-Minkowski inequality, examining volume control in convex geometry and its connections to additive combinatorics.
Add to list
1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Shannon-Kneser-Poulsen Theorem for Geometric Information Theory

0 rewiews
Explore geometric principles and information theory through the lens of the Kneser-Poulsen conjecture, examining volume changes in ball unions and their implications for noise channel communication.
Add to list
1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Marked Length Spectral Invariants of Birkhoff Billiard Tables and Compactness of Isospectral Sets

0 rewiews
Delve into advanced spectral geometry concepts, exploring marked length spectra of planar billiard tables, Mather's beta function, and isospectral compactness in dynamic systems.
Add to list
1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Advanced Study

Quadratic Stability of the Brunn-Minkowski Inequality

0 rewiews
Delve into advanced mathematical concepts exploring the quadratic stability of Brunn-Minkowski inequality, its geometric implications, and connections to related inequalities in convex geometry.
Add to list
1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Reverse Minkowski Theorem in Lattice Theory and Geometry

0 rewiews
Explore the groundbreaking reverse Minkowski theorem and its applications in complexity theory, cryptography, and algorithms, building on fundamental concepts in geometry of numbers.
Add to list
1 Lesons
57 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Spectral Gaps for Measures on the Cube via Generalized Stochastic Localization Process

0 rewiews
Explore advanced stochastic localization processes and their applications in high-dimensional probability, focusing on non-Gaussian frameworks and spectral gaps of discrete measures.
Add to list
1 Lesons
59 minutes
On-Demand
Free-Video