AGRA IV - Diophantine Equations with Few Solutions - Lecture 5
Exploración avanzada de ecuaciones diofantinas con énfasis en casos con soluciones limitadas, presentada por el experto Hector Pasten de la PUC, Chile.
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 3
Explora ecuaciones diofantinas con pocas soluciones, profundizando en conceptos avanzados de teoría de números y álgebra abstracta.
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 1
Exploración de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas avanzadas para analizar y resolver problemas en teoría de números.
Olivier Wittenberg- Some Aspects of Rational Points and Rational Curves
Explore rational points and curves in algebraic geometry, examining their properties and connections to other mathematical concepts.
The Number of Rational Points on a Curve of Genus at Least Two
Explore the intriguing mathematical concept of rational points on higher genus curves, delving into advanced number theory and algebraic geometry.
Roger Heath Brown - The Determinant Method, Lecture III
Explore variants of the determinant method and its application to consecutive "powerful" numbers in algebraic number theory.
AGRA IV - Diophantine Equations with Few Solutions - Lecture 2
Exploración avanzada de ecuaciones diofantinas con soluciones limitadas, enfocándose en técnicas analíticas y algebraicas para abordar problemas complejos en teoría de números.
Computational Aspects of Nonabelian Chabauty - Lecture 1
Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Variance of a General Class of Multiplicative Functions in Short Intervals
Explore the variance of multiplicative functions in short intervals, applying Fourier analysis and rational point counting to derive asymptotic estimates for k-free numbers and other functions.
Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number
Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.
Automorphic Lefschetz Properties and L-Values
Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.
On the Harris-Venkatesh Conjecture by Loic Merel
Exploration of the Harris-Venkatesh conjecture in arithmetic geometry, focusing on rational points on modular curves and their implications for elliptic curves and modular forms.
Sections of Fano Fibrations Over Curves
Explores Manin's conjecture on rational points in Fano varieties, focusing on exceptional sets and their impact on moduli spaces of sections in Fano fibrations, particularly del Pezzo fibrations.
Arakelov Self-Intersection Number on Modular Curves by Priyanka Mazumdar
Exploration of Arakelov self-intersection numbers on modular curves, examining their geometric and arithmetic properties in the context of rational points and arithmetic geometry.
On the Local Constancy of Certain Mod P Galois Representations by Suneel Kumar
Exploration of local constancy in mod p Galois representations, focusing on theoretical aspects and implications for arithmetic geometry and modular curves.