The Geometry of Geometries - Matroid Theory, Old and New
Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
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.
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 2
Explora superficies racionales sobre cuerpos, profundizando en conceptos avanzados de geometría algebraica y teoría de números con expertos internacionales.
Surreal Numbers and Transseries - Lecture 3
Explore advanced mathematical concepts of surreal numbers and transseries, delving into their properties, applications, and connections to asymptotic analysis.
Surreal Numbers and Transseries - Lecture 2
Explore advanced mathematical concepts of surreal numbers and transseries, delving into their properties and applications in asymptotic analysis.
Topics in Applied Model Theory - Lecture 12
Explore advanced concepts in model theory, including risky closures, algebraic groups, and PAC fields, with expert insights from Zoé Chatzidakis of CNRS-ENS.
Essential Dimension in Algebra
Explore the concept of essential dimension in algebra, its applications, and recent developments with renowned mathematician Alexander Merkurjev from UCLA.
Scalar Quantum Fields on 4-Dimensional Noncommutative Geometry
Explore milestones in renormalisable and solvable scalar QFT models on 4D noncommutative geometry, reflecting on a 25-year collaboration.
Finite Fields and Their Applications
Explore new Mathematica 13.3 features for finite field computations, including arithmetic, mappings, and polynomials. Learn about upcoming linear algebra and equation solving capabilities.
Galois Extensions and Galois Groups - Lecture 14
Explore Galois extensions and groups, delving into fundamental concepts and initial examples in algebraic theory.
Existence Theorem for Finite Fields
Explore the existence theorem for finite fields, proving their existence for every prime power order.
Subfields of a Finite Field
Explore the concept of subfields within finite fields, understanding their properties and significance in abstract algebra and number theory.
Solvable Groups: Polynomial Solvability and Galois Theory - Part 1
Explore solvable groups, their connection to polynomial solvability, and their applications in Galois theory and field theory.
The Fundamental Theorem of Galois Theory - Lecture 1
Explore the fundamental theorem of Galois Theory, delving into its core principles and applications in algebraic structures.
Solvability by Radicals - Lecture 37
Explore solvability by radicals, examining examples and radical extensions to deepen understanding of algebraic problem-solving techniques.
An Invitation to Globally Valued Fields
Explore globally valued fields in mathematics through an in-depth lecture by Ehud Hrushovski, delving into advanced concepts and their applications.
Beyond the Fontaine-Wintenberger Theorem
Explore advanced mathematical concepts beyond the Fontaine-Wintenberger theorem in this in-depth conference talk by Konstantinos Kartas.
Contracting Endomorphisms of Valued Fields
Explore contracting endomorphisms of valued fields in this advanced mathematical lecture by Yuval Dor, delving into complex algebraic concepts and theories.
Homology Groups in Algebraically Closed Valued Fields
Explore homology groups in algebraically closed valued fields through an in-depth mathematical lecture by Pablo Cubides-Kovacsics at CIRM's thematic meeting.
Transfer of Decidability for Existential Theories of Valued Fields
Explore transfer of decidability for existential theories of (valued) fields with Sylvy Anscombe in this mathematical conference talk from CIRM's Audiovisual Mathematics Library.