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#O-minimal Structures

Showing: 18 courses
IMSA

A Non-Archimedean Definable Chow Theorem

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Explore non-archimedean algebraization theorems and their applications in Diophantine geometry, focusing on a p-adic analogue of the definable Chow theorem.
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12 Lesons
45 minutes
On-Demand
Free-Video
IMSA

Mixed Period Maps: Definability and Algebraicity

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Explore definable analytic spaces and their applications in algebraic geometry, focusing on period maps and mixed Hodge structures. Learn about o-minimal geometry and its role in proving key conjectures.
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14 Lesons
56 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

A Stationary Set Method for Estimating Oscillatory Integrals

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Explore a stationary set method for estimating oscillatory integrals, with applications in number theory and Fourier analysis. Learn about o-minimal structures and geometric interpretations of upper bounds.
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19 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Towards Reduction of Singularities of Generalized Analytic Functions

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Explore generalized analytic functions, focusing on singularity reduction techniques and their applications in tame geometry, with insights from complex analytic and nonarchimedean methods.
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19 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

Complex Analysis in O-minimal Expansions of Real Closed Fields - Lecture 2

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Explore complex analysis in o-minimal expansions of real closed fields, covering topics from linearly ordered fields to finite extensions and K-linear matrices.
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10 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Tame Geometry and Hodge Theory II

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Explores applications of tame geometry in Hodge theory, covering algebraization results, tameness of period maps, functional transcendence, and atypical intersection conjectures in complex algebraic geometry.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Partial Desingularization

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Explore partial desingularization in tame geometry, examining interactions between o-minimal, complex analytic, and nonarchimedean methods.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Dichotomy Interlacement Versus Hardy in Definable ODE's

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Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.
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1 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, focusing on theoretical foundations and applications in mathematical logic.
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1 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, focusing on theoretical foundations and applications in mathematical logic.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, building on previous lectures in this graduate-level series.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, building on previous lectures in this graduate-level series.
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1 Lesons
1 hour 50 minutes
On-Demand
Free-Video
Fields Institute

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

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Explore complex analysis in o-minimal expansions of real closed fields, delving into advanced mathematical concepts and their applications in this graduate-level lecture.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 4

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 3

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Point-Counting and the Zilber-Pink Conjecture - Lecture 2

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Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

0 rewiews
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video