Lectures related to Hyperbolic manifold

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Riemannian distance, geodesically convex sets

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Explores the spectral analysis of hyperbolic surfaces through the trace formula and its applications in understanding geometric and spectral properties.

Hyperbolic Conicity

Covers the hyperbolic conicity case and the process of transforming a pavilion roof into a conical shape.

Hyperbolic Transport Equations

Explores hyperbolic transport equations and numerical schemes, emphasizing higher-order methods and characteristics for exact solutions.