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YouTube

Towards Reduction of Singularities of Generalized Analytic Functions

Fields Institute via YouTube

Overview

Explore the intricacies of generalized analytic functions in this 49-minute lecture by Beatriz Molina Samper from Universidad Nacional Autónoma de México. Delve into the Workshop on Tame Geometry, focusing on interactions between O-minimal, complex analytic, and nonarchimedean methods. Examine key concepts such as local models, standard generalized functions, minimal support, and monomial complexity. Investigate local and global monomializations, standardization techniques, and combinatorial language. Gain insights into morphisms, invariants, and objectives related to the reduction of singularities in generalized analytic functions through detailed examples and proofs.

Syllabus

Intro
Scheme
Local Model
Standard Generalized
Minimal Support
Monomial Complexity
Monomial Type
Local Monomialization
Global Monomialization
Standardization
minimal
proof
combinatorial language
example
morphisims
m standardizations
Monomials
Invariant
Objectives

Taught by

Fields Institute

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