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/

3 13

Dimension results for sparse systems homogenized via rational polytopes

By Pierre-Jean Spaenlehauer

A classical method to compute with sparse polynomials is to homogenize them with respect to Newton polytopes, regarding them as homogeneous elements of Cartier degrees in the Cox ring of a projective toric variety. In this talk, we investigate subvarieties defined by generic polynomial systems in the Cox ring when the degrees are non-necessarily Cartier, with a view towards identifying alternative toric homogenizations that are suitable for practical computations. Joint work with Matías Bender.

Information about the video

Date of recording 16/10/2023
Date of publication 16/10/2023
Institution IHP
Language English
Audience Researchers, Graduate Students
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T3.WS2.003
Cite this video Spaenlehauer, Pierre-Jean (16/10/2023). Dimension results for sparse systems homogenized via rational polytopes. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T3.WS2.003
URL https://dx.doi.org/10.57987/IHP.2023.T3.WS2.003

Domain(s)

Symbolic Computation

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