2023 - T3 - WS2 - Geometry of polynomial system solving, optimization and topology

Collection 2023 - T3 - WS2 - Geometry of polynomial system solving, optimization and topology

Organizer(s) D’Andrea, Carlos ; Lairez, Pierre ; Safey El Din, Mohab ; Schost, Éric ; Zhi, Lihong

Date(s) 16/10/2023 - 20/10/2023

linked URL https://indico.math.cnrs.fr/event/8114/

9 13

Conormal Spaces and Whitney Stratifications

By Martin Helmer

We describe an algorithm to compute Whitney stratifications of real and complex algebraic varieties. The basic idea is to first stratify the complexified version of the given real variety using conormal techniques, and then to show that the resulting stratifications admit a description using only real polynomials. This method also extends to stratification problems involving certain basic semialgebraic sets as well as certain algebraic maps. One of the map stratification algorithms described also yields a new method for solving the real root classification problem. This is joint work with Vidit Nanda (Oxford).

Information about the video

Date of recording 19/10/2023
Date of publication 19/10/2023
Institution IHP
Language English
Audience Researchers, Graduate Students, Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T3.WS2.008
Cite this video Helmer, Martin (19/10/2023). Conormal Spaces and Whitney Stratifications. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T3.WS2.008
URL https://dx.doi.org/10.57987/IHP.2023.T3.WS2.008

Domain(s)

Algebraic Geometry

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