P-adic integration: Rationality and Igusa zeta function

Related lectures (32)

Page 3 of 4

Explores the kinematics of 3D structures and twisted solutions in rod mechanics, including the mechanics of knots.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers course recap, shape optimization, asymptotic grid shells, and differential geometry concepts.

Covers the fundamentals of differential geometry of surfaces, including the equilibrium of shells, pressure vessels, and the curvature of surfaces.

Explores the Albanese morphism of varieties with Kodaira dimension zero in positive characteristic.

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.

Explores the differential geometry of parametric surfaces, covering tangent space, normal curvature, principal curvatures, and asymptotic curves.

Explores the mechanics of slender structures, introducing concepts like finite strain and finite rotation theory.