Concept

Elliptic curve

Related lectures (30)

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Explores Taylor expansions of first order in optimization on manifolds.

Explores isogeny graphs of supersingular elliptic curves, showing optimal mixing times for random walks and applications to cryptography.

Covers elliptic problems related to a model and deformation, discussing concepts such as the model problem and deformation energy.

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Presents a proof that smooth projective varieties with nef anti-canonical divisor have surjective Albanese morphism.

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Explores very ample divisors on curves of genus 2 and their implications.

Covers canonical divisors on Riemann surfaces and properties of modular forms.

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.