INI Seminar Room 2 Courses

Physics of Velocity and Magnetic Shears in Toroidal Geometries

Explore the physics of velocity and magnetic shears in tokamak plasmas, examining resonance effects, shearing coordinates, and their impact on plasma dynamics and confinement performance in toroidal geometries.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Temperature Front Formation in Stably Stratified Turbulence

Delve into the dynamics of stably stratified turbulence, exploring temperature front formation, wave-vortex interactions, and sawtooth wave structures through DNS of Navier-Stokes equations under Boussinesq approximation.

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

Internal Wave Packet Tunnelling Across a Thermohaline Staircase

Explore the fascinating dynamics of internal wave packets interacting with density staircases in the Arctic Ocean, examining transmission patterns and theoretical predictions through numerical simulations.

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

A Critical Look at Quasilinear Theory in Anti-Diffusive Dynamics

Delve into a critical analysis of quasilinear theory in plasma physics, examining its foundations, validity, and challenges through the lens of the Vlasov-Poisson system and mode coupling effects.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Family 3-5 and δ-Invariant of Polarized del Pezzo Surfaces

Explore the computation of δ-invariant for del Pezzo surfaces and their connection to K-stability, focusing on explicit examples and applications to Kähler-Einstein metrics in algebraic geometry.

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

Large-Scale Structure Formation by Turbulent Kinetic Helicity

Delve into turbulent kinetic helicity's role in large-scale structure formation, exploring mathematical models of rotating turbulence and applications in geophysical and astrophysical flows.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Directed Percolation and Critical Phenomena in Reaction-Diffusion Systems - Lecture 2

Delve into directed percolation theory, exploring critical phenomena, universality classes, and stochastic PDEs through advanced mathematical concepts and their applications in turbulence modeling.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Directed Percolation and Critical Phenomena in Reaction-Diffusion Systems - Lecture 1

Delve into directed percolation theory, critical phenomena, and universality classes with focus on reaction-diffusion models, absorbing states, and applications to turbulence onset through stochastic PDEs.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Out-of-Equilibrium Fluxes Shape the Self-Organization of Turbulence with Local Interactions

Explore the fascinating dynamics of turbulent flows and their self-organization, focusing on how out-of-equilibrium fluxes influence the emergence of coherent patterns in rotating fluid systems.

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

Pseudo Kobayashi Hyperbolicity of Subvarieties of General Type on Abelian Varieties - Talk 4

Delve into advanced mathematical concepts exploring pseudo Kobayashi hyperbolicity of subvarieties of general type on abelian varieties with Professor Brotbek from Université de Lorraine.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Holomorphic Curves in Abelian Varieties and Intersections with Higher Codimensional Subvarieties - Lecture 4

Delve into advanced mathematical concepts exploring holomorphic curves in Abelian varieties and their intersections with higher codimensional subvarieties through expert analysis and theoretical frameworks.

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

Singular Learning Theory in Machine Learning - Part 2

Delve into Watanabe's singular learning theory and its applications in statistical estimation, exploring how it measures model complexity and influences deep neural network training processes.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Singular Learning Theory - Bayesian Statistics and Real Log-Canonical Thresholds - Part 1

Delve into Bayesian statistics and singular learning theory, exploring how statistical model performance relates to real analytic function singularities and their applications in machine learning interpretability.

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

Holomorphic Curves in Abelian Varieties and Intersections with Higher Codimensional Subvarieties - Lecture 3

Delve into advanced mathematical concepts exploring holomorphic curves in Abelian varieties and their intersections with higher codimensional subvarieties through expert analysis and theoretical frameworks.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Pseudo Kobayashi Hyperbolicity of Subvarieties of General Type on Abelian Varieties

Delve into advanced mathematical concepts exploring pseudo Kobayashi hyperbolicity and its relationship with subvarieties of general type on abelian varieties through expert analysis.

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