Resurgence - Lecture 2
Explore advanced concepts in resurgence theory, focusing on applications and recent developments in mathematical physics and quantum mechanics.
Hilbert's 16th Problem and O-Minimality - Lecture 1
Explore the topology of cycles, limit cycles, and related mathematical concepts in this advanced graduate-level lecture on Hilbert's 16th problem and o-minimality.
Parametrizations and Complexity of Preparation
Explore parametrizations, preparation complexity, and the Wilkins conjecture. Learn induction methods and recent results in tame geometry and transseries applications.
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.
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.
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.
Rigidity of Saddle Loops
Explore the mathematical concept of rigidity in saddle loops, focusing on their properties and applications in dynamical systems theory.
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.
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.
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.
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.
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.
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.
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.
Exact Instanton Transseries for Quantum Mechanics
Explore exact instanton transseries in quantum mechanics, delving into advanced mathematical concepts and their applications in theoretical physics.