Commutative Algebra, Syzygies and Singularities

December 4-6, 2017
University of Nice Sophia Antipolis, France


This workshop will take place at the Laboratoire Jean-Alexandre Dieudonné, Université Côte d'Azur, as part of the activity of the GDRI ECO-Math (France-Hongrie-Roumanie).

Workshop room: Room/Salle 1, except on Tuesday afternoon: Room/Salle 2.


Monday 4th:
9:30-10:15: Alexandru Dimca: Open questions on free curves and free surfaces

Coffee break

10:45-11:30: Jean Vallès: Nearly free curves and arrangements: a vector bundle point of view

11:45-12:30: Alessandro Oneto: A new question on planar polynomial interpolation and line arrangements

Lunch break and research in groups in the afternoon


Tuesday 5th:
9:00-9:45: Dorin Popescu: Artin strong approximation for the systems of partial differential equations over the complex number field

9:45-10:30: Claudia Andrei: The coordinate ring of a convex polyomino

Coffee break

11:00-11:45: Carlos Simpson: Resolution of singularities of a 4 dimensional compactified character variety

11:45-12:30: André Galligo: Deformations of germs of curves with and without embedded components

Lunch break and research in groups in the afternoon


Wednesday 6th:
9:30-10:15: Marius Vladoiu: Hypergraph encodings of arbitrary toric ideals

Coffee break

10:45-11:30: Marc Chardin: Syzygies of rings of invariants

11:45-12:30: Laurent Busé: Geometry of rational maps via syzygies

Lunch break and research in groups in the afternoon



List of abstracts and registered participants



Sponsors: CNRS (Centre National de la Recherche Scientifique), IMAR (Institute of Mathematics of the Romanian Academy), European MSCA ITN Arcades, Laboratoire Dieudonné, Inria.

Organizers

Laurent Busé,
INRIA Sophia Antipolis, France

Alexandru Dimca,
Laboratoire J.-A. Dieudonné, Université Côte d'Azur, France

Dorin Popescu
Institute of Mathematics of the Romanian Academy, Romania

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