International Centre for Theoretical Sciences Courses

Pointwise Ergodic Theorems for Non-Conventional Polynomial Averages by Benjamin Krause

Explore advanced ergodic theory with a focus on non-conventional polynomial averages, delving into pointwise convergence theorems and their applications in harmonic analysis.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Quadrature Rules on Manifolds - Useful Results - Lecture 3

Explore advanced quadrature techniques for manifolds, focusing on key results and applications in harmonic analysis. Gain insights into cutting-edge mathematical approaches.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Discussion of Montgomery's Large Value Problem by Larry Guth

Exploration of Montgomery's Large Value Problem, delving into advanced harmonic analysis concepts and recent developments in the field of mathematics.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Distance Problems and Their Many Variants - Lecture 2

Explores distance problems in harmonic analysis, focusing on variants and recent developments. Discusses polynomial methods and discrete approaches, offering insights for researchers in the field.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Quadrature Rules on Manifolds - Designs - Lecture 1

Explore quadrature rules on manifolds and designs in harmonic analysis. Learn about cutting-edge mathematical techniques for solving complex problems in geometry and analysis.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Quadrature Rules on Manifolds - Partitions by Giacomo Gigante

Explore advanced quadrature techniques for manifolds, focusing on partition methods. Gain insights into cutting-edge harmonic analysis research and its applications in mathematical problem-solving.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Nikodym Sets and Maximal Functions Associated with Spheres - Lecture 2

Explores advanced concepts in harmonic analysis, focusing on Nikodym sets and maximal functions related to spheres. Builds on recent developments in the field.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Points and Distances by Malabika Pramanik

Explore geometric relationships between points and distances in harmonic analysis. Discover recent developments in Fourier restriction, polynomial methods, and discrete analysis techniques.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Maximal Functions Associated to Families of Curves in the Plane by Joshua Zahl

Explore maximal functions related to curve families in the plane, delving into harmonic analysis techniques and recent developments in this mathematical field.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 2

Explores sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding of harmonic analysis and polynomial methods in mathematical research.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Regularized Inverse Brascamp-Lieb Inequalities

Explores advanced mathematical concepts in harmonic analysis, focusing on regularized inverse Brascamp-Lieb inequalities. Offers insights into cutting-edge research and applications in theoretical mathematics.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Sharp Fourier Restriction onto the Parabola and the Cubic Monomial - Lecture 1

Explore sharp Fourier restriction estimates for parabola and cubic monomial curves, advancing understanding in harmonic analysis and algebraic geometry applications.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Exponentials Rarely Maximize Fourier Adjoint Restriction Estimates on Cones by Giuseppe Negro

Explore Fourier adjoint restriction estimates on cones, focusing on the rarity of exponential maximizers. Gain insights into advanced harmonic analysis techniques and their applications.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Deepsets, Graph Neural Networks, and Transformers in Machine Learning - Lecture 4

Explore advanced deep learning architectures like Deepsets, Graph Neural Networks, and Transformers, focusing on their applications in high energy physics data analysis and research.

• YouTube
• 2 hours 3 minutes
• Self-Paced
• Free Video

Statistics for Data Analysis with Exercises - Lecture 3

Explore advanced statistical methods for data analysis in high-energy physics, focusing on practical applications and exercises to enhance understanding and skills in this specialized field.

• YouTube
• 1 hour 48 minutes
• Self-Paced
• Free Video