International Centre for Theoretical Sciences Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Glassy Dynamics and Plasticity - Building ML-Based Theories - Lecture 3

Explore ML-based theories for glassy dynamics and plasticity, focusing on bottom-up learning approaches in soft matter physics and their applications in designing functional materials.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Materials that Learn by Themselves: Fundamental Concepts for New Materials - Lecture 1

Explore how physical systems can learn autonomously through bottom-up approaches, challenging traditional artificial neural networks and solving inverse design problems in soft matter.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number

Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Automorphic Lefschetz Properties and L-Values

Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

On the Harris-Venkatesh Conjecture by Loic Merel

Exploration of the Harris-Venkatesh conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.

• YouTube
• 3 hours 54 minutes
• On-Demand
• Free Video