O-minimality Courses and Certifications

Fields Institute

O-Minimality and Parametrizations

Explore o-minimality theory and its applications in parametrizations, gaining insights into this fundamental concept in mathematical logic and model theory.

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

Fields Institute

O-minimality and the Pila-Wilkie Theorem - Lecture 2

Explore o-minimality and the Pila-Wilkie theorem in this advanced graduate-level mathematics lecture, delving into complex algebraic geometry concepts and their applications.

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

Fields Institute

Tameness in Geometry and Arithmetic - Beyond O-Minimality

Explore geometric and arithmetic tameness beyond o-minimality, delving into advanced mathematical concepts and their applications in analysis and geometry.

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

IMSA

Model Theory: From Logic to Geometric Stability Theory and O-Minimality II

Explore model theory principles, focusing on o-minimality and stability theory, with applications to complex geometry and arithmetic aspects.

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

IMSA

Model Theory - From Logic to Geometric Stability Theory and O-Minimality I

Explore model theory principles, focusing on o-minimality and stability theory, with applications to complex geometry and arithmetic aspects.

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

Fields Institute

Applications of O-minimality to Hodge Theory - Lecture 4

Explore infinitesimal thickening, definable spaces, and cell decomposition in o-minimality, with applications to Hodge theory and Abelian shields.

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

Fields Institute

Applications of O-minimality to Hodge Theory - Lecture 2

Explore o-minimality's applications to Hodge Theory, covering definable spaces, fundamental domains, and Hodge metrics in this advanced graduate-level lecture.

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

Fields Institute

Tameness Beyond O-Minimality - Lecture 2

Explore advanced mathematical concepts in tame geometry, focusing on o-minimality, metric dimensions, and related topics in real algebraic geometry.

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

Institute for Advanced Study

Introduction to O-Minimality and Point-Counting - Part I

Discover o-minimality from a user's perspective with zero background required, exploring main examples of o-minimal structures and key theorems you can apply to mathematical sets.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Fields Institute

O-minimality, Effectivity, and the André-Oort Conjecture

Explore o-minimality theory and its applications to the André-Oort conjecture, examining effectivity questions in algebraic geometry and model theory.

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

Institute for Advanced Study

Multisummable Functions and O-Minimality

Explore multisummable functions and their role in proving o-minimality of the Gamma function, with insights into recent developments in Pila-Wilkie estimates.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Introduction to O-Minimality and Point-Counting - Part II

Explore advanced point counting results in o-minimal structures, from the classical Pila-Wilkie theorem to improved versions in sharp o-minimality variants.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institute for Advanced Study

O-Minimality and Rational Numbers

Explore o-minimality theory and its applications to proving asymptotic estimates for rational points in definable sets across various mathematical areas.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institute for Advanced Study

O-Minimality and Definable Topologies

Explore the intersection of o-minimality and topology, examining definable topological spaces, classification results, and applications to Hodge theory and manifold structures.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Harvard CMSA

O-Minimality - Finiteness and Complexity

Explore o-minimality's mathematical formalism for tame geometry, where sets have finite complexity, with applications to physics and quantitative complexity measures.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video