Transseries Courses and Certifications

Fields Institute

Surreal Numbers and Transseries

Explore the fascinating world of surreal numbers and transseries, delving into their properties, applications, and connections to tame geometry and analysis.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Fields Institute

Tame Geometry, Transseries and Applications to Analysis and Geometry

Delve into advanced mathematical structures through o-minimality, transseries, and tame geometry with applications to analysis, singularities, and differential equations.

• YouTube
• 6 days 23 hours 16 minutes
• On-Demand
• Free Video

Fields Institute

Transseries and Discrete Dynamical Systems

Explore transseries and their applications in discrete dynamical systems, focusing on interactions between o-minimal, complex analytic, and nonarchimedean methods.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 14

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with expert Lou van den Dries in this graduate-level lecture from the Fields Institute.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 9

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with Professor Lou van den Dries in this graduate-level lecture from the Fields Institute.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Fields Institute

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.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video

Fields Institute

Surreal Numbers and Transseries - Lecture 2

Explore advanced mathematical concepts of surreal numbers and transseries, delving into their properties and applications in asymptotic analysis.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Fields Institute

Transseries, Model Theory, and Hardy Fields - Lecture 1

Explore advanced mathematical concepts in transseries, model theory, and Hardy fields with Professor Lou van den Dries in this graduate-level lecture series.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Fields Institute

Surreal Numbers and Transseries - Lecture 1

Explore surreal numbers and transseries in this graduate-level lecture, delving into advanced mathematical concepts and their applications in asymptotic analysis.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Exact Instanton Transseries for Quantum Mechanics

Explore exact instanton transseries in quantum mechanics, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Fields Institute

Toward a Unification of Infinities

Explore the concept of unifying different types of infinities in mathematics, delving into advanced theoretical frameworks and their implications for transseries and dynamical systems.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Fields Institute

Rigidity of Saddle Loops

Explore the mathematical concept of rigidity in saddle loops, focusing on their properties and applications in dynamical systems theory.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Fields Institute

Holomorphic Continuation of R_an,exp - Germs: The Missing Lecture

Explore holomorphic continuation of R_an,exp-germs in this advanced mathematics lecture, delving into complex analysis and dynamical systems.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Fields Institute

Tameness Beyond O-Minimality

Explore advanced concepts in tame geometry, focusing on tameness beyond o-minimality, with insights from Philipp Hieronymi's research in mathematical logic and model theory.

• YouTube
• 55 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Resurgence Theory - Generalised Borel-Laplace Summation, "Alien Calculus" by David Sauzin

Explore advanced mathematical concepts in Resurgence Theory, including Borel-Laplace summation and "alien calculus," with applications in physics and dynamical systems.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video