Differential topology

Related lectures (10)

Explores conservative forces, potential energy, and total mechanical energy conservation in various examples.

Explores the variants of gradient descent, with a focus on stochastic gradient descent and linear classification.

Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.

Explores colloidal particle stabilization, polymer binding, SEM characterization, and particle assembly into crystals.

Covers the design methodology of a fully differential folded cascode OTA.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

By Yakov Pesin delves into the essential coexistence phenomenon in Hamiltonian dynamics, exploring types I and II and providing examples and proofs.

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