The Polynomial Method for Point Counting and Exponential Sums
Explore how auxiliary polynomials aid in counting points on curves over finite fields and estimating exponential and character sums.
Regularity Theory for Area-Minimizing Currents - Lecture 5
Explore advanced concepts in geometric measure theory, focusing on regularity theory for area-minimizing currents. Gain insights from experts De Lellis and Spadaro in this in-depth lecture.
Existence and Regularity Theories of Brakke Flow - Lecture 4
Explore advanced theories of Brakke flow, focusing on existence and regularity aspects in this in-depth lecture by Yoshihiro Tonegawa from Tokyo Institute of Technology.
Ramanujan Prize Ceremony 2015
Explore the prestigious Ramanujan Prize and its significance in mathematics during this engaging lecture, highlighting exceptional contributions to the field.
Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021
Explore Young towers for geodesic flows on non-positively curved surfaces with Yakov Pesin. Gain insights into Sinai-Ruelle-Bowen measures and their applications in surface diffeomorphisms.
Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 5
Explore advanced techniques in symbolic dynamics for complex hyperbolic systems. Gain insights into infinite Markov partitions and their applications in studying statistical properties of dynamical systems.
SRB Measures and Young Towers - Lecture 2 of 4
Explore SRB measures and Young Towers in nonuniformly hyperbolic systems. Learn advanced techniques for studying statistical properties of complex dynamical systems.
SRB Measures and Young Towers - Lecture 1
Explore groundbreaking techniques in Ergodic Theory applied to differentiable dynamical systems. Learn about SRB measures, Markov Partitions, and Young Towers in nonuniformly hyperbolic systems.
Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 1 of 5
Explore symbolic dynamics for nonuniformly hyperbolic systems, focusing on Markov Partitions and Young Towers. Learn advanced techniques to analyze complex dynamical systems and their statistical properties.
From Knots to Number Theory I
Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 5
Combinatoria de superficies quadriculadas e geometria de espacos de modulos: explorando conexões entre topologia, geometria e teoria dos números em espaços de módulos.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 5
Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, examinando conceptos clave y resultados recientes en geometría algebraica aritmética.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 4
Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones a la teoría de grupos y análisis.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 4
Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, abordando conceptos de geometría algebraica y teoría de números.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 Lecture 3
Explora superficies racionales sobre cuerpos, profundizando en conceptos avanzados de geometría algebraica y teoría de números con expertos internacionales.
AGRA IV - Combinatorics of Square-Tiled Surfaces and Geometry of Moduli Spaces - Lecture 2
Exploración avanzada de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, con énfasis en aplicaciones matemáticas y análisis profundo.
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.
Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 2
Explora superficies racionales sobre cuerpos, profundizando en conceptos avanzados de geometría algebraica y teoría de números con expertos internacionales.
Combinatoria de Superficies Quadriculadas e Geometria de Espacos de Modulos - Lecture 1
Exploración de combinatoria en superficies cuadriculadas y geometría de espacios de módulos, abordando conceptos avanzados en matemáticas y análisis geométrico.
Cluster Algebras and Mirror Symmetry - Lecture 2
Explore connections between cluster algebras and mirror symmetry in algebraic geometry, delving into advanced mathematical concepts and their applications.
Cluster Algebras and Mirror Symmetry - Lecture 1
Explore the intricate connection between cluster algebras and mirror symmetry in mathematics, delving into advanced concepts and their applications in algebraic geometry.