Banach Center Courses

Local Connectivity of Boundaries of Tame Fatou Components of Meromorphic Maps

Explore local connectivity of boundaries in tame Fatou components for meromorphic maps, delving into complex dynamics and geometric function theory.

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

Hénon-like Renormalization

Explore Hénon-like Renormalization theory and its applications in dynamical systems, presented by Jonguk Yang from the University of Zurich.

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

On a Mandelbrot-Like Set for a Family of Exponential Maps

Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.

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

A Family of Rational Maps with One Free Critical Point

Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.

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

Boundary Behaviour of Universal Covering Maps and Applications

Explore boundary behavior of universal covering maps and their applications in mathematics, focusing on advanced topological concepts.

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

Slices of Cubic Rational Maps with Parabolics

Explore cubic rational maps with parabolics, delving into their slices and mathematical properties. Gain insights into complex dynamics and algebraic geometry.

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

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 4

Explore advanced concepts in spectral analysis and wave equations for sub-Laplacians, focusing on multipliers and their applications in mathematical physics.

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

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 3

Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, focusing on cutting-edge mathematical research and applications.

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

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 2

Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, building on previous knowledge and delving into complex mathematical theories.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 1

Explore spectral multipliers and wave equations for sub-Laplacians in this advanced mathematical lecture by Alessio Martini from Politecnico di Torino.

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

Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 4

Explore discrete harmonic analysis and its applications to ergodic theory, delving into advanced mathematical concepts and their practical implications.

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

Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 3

Explore advanced concepts in discrete harmonic analysis and their ergodic theory applications, focusing on cutting-edge research and mathematical insights.

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

Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 2

Explore advanced concepts in discrete harmonic analysis and their ergodic theory applications, building on foundational knowledge from part 1.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Discrete Harmonic Analysis and Its Applications to Ergodic Theory - Part 1

Explore discrete harmonic analysis and its applications in ergodic theory, delving into advanced mathematical concepts and their practical implications.

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

Link Homology and How to Compute It - Part 3

Explore advanced techniques for computing link homology, delving into complex mathematical concepts and methodologies in topology and knot theory.

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