Real Equisingularity and Curvature Measures, Lecture 1

Abstract: Lecture 1. On the topology of semi-algebraic sets: stratified critical points and an index theorem.

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Unlike their complex counterparts, equisingularity results for tame families of subsets are harder to come by in Real Tame Geometry. Nevertheless a promising, though not unexpected, approach is to walk in the world of integral geometry and get sufficient conditions in terms of continuity of certain functions built from curvature measures associated with the members of the family. Nicolas Dutertre will introduce us to his tools from Geometric measure theory (Lipschitz-Killing Measures) and how they naturally appear with good properties in equisingularity problems.

algebraic geometrydifferential geometrymetric geometry

Audience: advanced learners

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School of Real Geometry in Fortaleza - ScReGeFor

Series comments: Main aim of School of Real Geometry in Fortaleza is to present current topics in Real Algebraic and Tame Geometries. There will be five courses on topics in Real Geometry. The target audience is primarily Phd Students, Post-docs and young researchers.

All courses and talks will be available online in google meet. The links will be sent to registered participants some days before the event.

More information available on the website sites.google.com/view/scregefor2020/home

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