O-minimal Structures Courses and Certifications

Institute for Advanced Study

Preparation and Point Counting in Sharply O-minimal Structures

Explore logarithmic-exponential preparation theorems in sharply o-minimal structures and their implications for Wilkie's conjecture on rational point density.

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

Centre International de Rencontres Mathématiques

Definable Holomorphic Continuations in O-minimal Structures

Explore holomorphic continuations of definable functions in o-minimal structures, including applications to complex Gamma and Riemann zeta functions in this mathematical research presentation.

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

Centre International de Rencontres Mathématiques

Sharply O-minimal Structures and Sharp Cell Decomposition

Delve into recent developments in sharply o-minimal structures, focusing on obtaining a "sharp" cellular decomposition in general o-minimal structures with mathematician Benny Zak.

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

Harvard CMSA

Tameness of Multisummable Series

Explore the tame geometric behavior of multisummable power series and their applications to differential equations, including analysis of the Stirling series and Gamma function.

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

Hausdorff Center for Mathematics

Alignments of Definable Groups and Explicit Bounds in General Elekes-Szabó

Explore advanced model theory techniques for analyzing algebraic variety intersections with finite grids, focusing on o-minimal cases and explicit bounds in Elekes-Szabó theorems.

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

Institute for Advanced Study

A Vanishing Theorem for O-minimal Curves

Explore o-minimal structures and definable analytic geometry, focusing on vanishing theorems for coherent sheaves on definable curves in complex geometry.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 1

Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.

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

Fields Institute

Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms

Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.

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

Fields Institute

Partial Desingularization

Explore partial desingularization in tame geometry, examining interactions between o-minimal, complex analytic, and nonarchimedean methods.

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

Fields Institute

Dichotomy Interlacement Versus Hardy in Definable ODE's

Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.

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

Fields Institute

Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 8

Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, focusing on theoretical foundations and applications in mathematical logic.

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

Fields Institute

Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 7

Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, focusing on theoretical foundations and applications in mathematical logic.

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

Fields Institute

Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 4

Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, building on previous lectures in this graduate-level series.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Fields Institute

Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 3

Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, building on previous lectures in this graduate-level series.

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

Fields Institute

Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 1

Explore complex analysis in o-minimal expansions of real closed fields, delving into advanced mathematical concepts and their applications in this graduate-level lecture.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video