Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

Seminar for BSc and MSc Mathematics. Spectral geometry studies the relationship between geometric shapes and their spectra, which are the eigenvalues of certain geometric differential operators such ...

Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...