Dérivations et feuilletages algébriques — Derivations and algebraic foliations

Expired
Dates : 07 outubro 2019 » 18 outubro 2019

Place : CIRM – Luminy
França

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Organizer : Centre International de Rencontres Mathématiques (CIRM)

Topic : Matemática e Estatística; Algebra
Matemática e Estatística;
Keywords: Algebra
Description :

By work of Darboux, and later Jouanolou, a polynomial vector field on the complex projective plane has only algebraic solutions if and only if it has sufficiently many such solutions, or equivalently, if there are enough algebraic curves left invariant by the vector field. In light of this, to decide whether a polynomial vector field is algebraically integrable we propose to relate numerical invariants not only of curves in the plane, but also of varieties in higher dimensional projective spaces, to the degree of vector fields that are tangent to these varieties. Since the work of Poincare, such ´ bounds have been investigated in many papers with different techniques. We plan to employ methods mainly from commutative algebra, combining fairly recent advances on Castelnuovo-Mumford regularity, in particular the regularity of ideal powers, with more classical tools from singularity theory​.

Topics: RESEARCH IN PAIRS


Dérivations et feuilletages algébriques — Derivations and algebraic foliations to be held in CIRM – Luminy, França between 07 outubro 2019 and 18 outubro 2019. It is organised by Centre International de Rencontres Mathématiques (CIRM). It covers specific areas of Matemática e Estatística such as Algebra. Visit the website of the conference for more detailed information or contact the organizer for specific questions.
Add to calendar 2019-10-07 2019-10-18 Europe/London Dérivations et feuilletages algébriques — Derivations and algebraic foliations https://www.sciencedz.net/pt/conference/53905-derivations-et-feuilletages-algebriques-derivations-and-algebraic-foliations CIRM – Luminy - França Centre International de Rencontres Mathématiques (CIRM)

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Conferences and seminars in França in 2019
Conferences and seminars in Matemática e Estatística
Conferences and seminars in Matemática e Estatística in 2019
Conferences and seminars in Matemática e Estatística in França
Conferences and seminars in Matemática e Estatística in França in 2019
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