Spectral Theory Courses and Certifications

The Bright Side of Mathematics

Functional Analysis

Dive into Functional Analysis with The Bright Side of Mathematics. Learn about metric spaces, Banach spaces, Hilbert spaces, bounded operators, and spectral theory in 4-5 hours.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

Ellipses of Small Eccentricity Are Determined by Their Dirichlet - Steven Morris Zelditch

Dive into the analysis of ellipses with small eccentricity in this 1-2 hour seminar by Steven Morris Zelditch from Northwestern University, offered by the Institute for Advanced Study.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

Explore spectral results and open problems for Dirac-Coulomb operators with Maria J. Esteban in this under 1-hour session by IPAM. Dive into quantum mechanics, eigenvalues, and more.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Outliers in Sparse Wigner Matrices

Explore the impact of sparsity on extreme eigenvalues in Wigner matrices in this less than 1-hour study by the Hausdorff Center for Mathematics.

• YouTube
• 41 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties

Explore the dynamics of smooth surface diffeomorphisms with Omri Sarig through ICTP Mathematics. Dive into topics like spectral properties, entropy continuity, and symbolic dynamics in 1-2 hours.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Fractal Uncertainty Principle and Quantum Chaos

Explore quantum chaos and the fractal uncertainty principle with Semyon Dyatlov in this short talk offered by the International Mathematical Union.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Fields Institute

Spectral Theory of Regular Sequences

Explore the spectral theory of regular sequences with Michael Coons from the University of Bielefeld, in a less than 1-hour session organized by Fields Institute.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Marked Length Spectral Rigidity for Flat Metrics - C. Leininger

Dive into the world of flat metrics with ICTP Mathematics, exploring marked length spectral rigidity in less than an hour.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

On Non-Commensurable Isospectral Locally Symmetric Spaces by C.S. Rajan

Explore the intersection of number theory and geometry, focusing on Zariski-dense subgroups and their applications, with ICTS.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

IIT Roorkee;  NPTEL

Advanced Linear Algebra

Dive into advanced Linear Algebra with this 12-week course from IIT Roorkee, covering theoretical and computational perspectives, including vector spaces, linear transformations, and spectral theory.

• Swayam
• 12 weeks
• Finished
• Free Online Course

IIT Hyderabad;  NPTEL

Operator Theory

Explore the spectral theory of normal operators with IIT Hyderabad's 12-week course. Ideal for M.Sc Mathematics II Year and Ph.D. first-year students.

• Swayam
• 12 weeks
• Finished
• Free Online Course

IISc Bangalore;  NPTEL

C* algebras and spectral theorem

Explore C* algebras and spectral theorem in an 8-week course by Indian Institute of Science Bangalore. Ideal for MSc 2nd year, PhD students, and college lecturers.

• Swayam
• 8 weeks
• Finished
• Free Online Course