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Joint Equidistribution of CM points
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Related lectures (32)
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Attack on RSA using LLL
Covers Coppersmith's method for attacking RSA encryption by efficiently finding small roots of polynomials modulo N.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.
A Conjecture of Erdös: Proof by Moreira, Richter and Robertson
Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.
Linear Similarities and Similitudes
Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Correlations of the Liouville function
Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.
Weak Derivatives: Definition and Properties
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Covers weak derivatives, their properties, and applications in functional analysis.
Constrained optimization: the basics
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Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.
Fundamental Solutions
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Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Hadamard Factorisation
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Covers the Hadamard factorisation theorem for entire functions of order at most 1.
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