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| Michel Las Vergnas | |
|---|---|
| Name | Michel Las Vergnas |
| Birth date | 1937 |
| Death date | 2013 |
| Birth place | Montpellier, France |
| Nationality | French |
| Fields | Mathematics, Graph Theory, Combinatorics |
| Institutions | Université Paris-Sud, CNRS, Université Montpellier |
| Alma mater | Université Paris-Sud |
| Doctoral advisor | Claude Berge |
Michel Las Vergnas was a French mathematician known for foundational work in graph theory, matroid theory, and combinatorics. He made influential contributions to the theory of oriented matroids, the study of graphs on surfaces, and the interplay between algebraic topology and discrete structures. His work connected research communities across institutions such as the Centre national de la recherche scientifique, Université Paris-Sud, and the University of Waterloo through collaborations and editorial leadership.
Born in Montpellier, Michel Las Vergnas completed his early studies in Occitanie before moving to Paris for higher education. He studied at Université Paris-Sud under the supervision of Claude Berge, engaging with the milieu shaped by figures like Paul Erdős, Rudolf Halin, and Claude Shannon. During his doctoral period he was influenced by developments in graph theory led by researchers at institutions such as the Institut National de Recherche en Informatique et en Automatique and the École Normale Supérieure.
Las Vergnas held positions at French research organizations including the Centre national de la recherche scientifique and academic posts at Université Paris-Sud and later at Université Montpellier. He collaborated with a range of mathematicians from the University of Cambridge, Princeton University, and the University of Waterloo, fostering ties with scholars such as Jack Edmonds, Jim Oxley, and András Frank. He organized and participated in conferences at venues like the International Congress of Mathematicians satellite meetings and workshops associated with the European Mathematical Society and the Mathematical Sciences Research Institute.
Las Vergnas made seminal contributions to oriented matroid theory, building on foundational work by Gian-Carlo Rota, Jon Folkman, and Branko Grünbaum. He introduced concepts relating to orientations of matroids and studied their connections to graph orientation problems investigated by William Tutte and Claude Berge. His research addressed topics including signatures of graphs on surfaces, dualities reminiscent of results by Hassler Whitney and Kazimierz Kuratowski, and enumerative phenomena parallel to investigations by Nikolai Ivanovich Lobachevsky and René Thom in topological settings. He produced structural theorems that linked oriented matroids with polyhedral combinatorics studied by Günter Ziegler and Maurice Auslander.
Las Vergnas also advanced the theory of circuit-cocircuit interactions in matroids, elaborating on principles related to Tutte polynomial identities established by W. T. Tutte and later developed in contexts by André Jaeger and Michel Las Vergnas's contemporaries. He investigated connectivity and minors in oriented settings, relating to the body of work by Paul Seymour and Neil Robertson. His studies of embeddings and orientations of graphs on surfaces intersected with research by John Conway and Ciprian Manolescu on low-dimensional topology.
Las Vergnas authored numerous articles in journals such as the Journal of Combinatorial Theory, the European Journal of Combinatorics, and the Annals of Discrete Mathematics. He edited conference proceedings for meetings sponsored by the American Mathematical Society and the Société Mathématique de France, curating contributions that connected combinatorialists working on matroid theory and researchers in topological graph theory. His editorial roles brought together papers by authors including Jack Edmonds, Jim Oxley, William T. Tutte, Gian-Carlo Rota, and Branko Grünbaum, shaping discourse on oriented matroids and graph orientations. Las Vergnas also contributed chapters to collective volumes produced for special sessions at institutions like the Institut Henri Poincaré.
Throughout his career Las Vergnas received recognition from French and international bodies. He was honored by professional societies including the Société Mathématique de France and was invited to give plenary and invited talks at conferences organized by the European Mathematical Society, the International Mathematical Union, and the American Mathematical Society. His work earned citations and invitations to editorial boards of journals focusing on combinatorics, graph theory, and matroid theory, reflecting esteem from peers such as Jack Edmonds, Jim Oxley, and Paul Seymour.
Las Vergnas's ideas on oriented matroids and graph orientations influenced subsequent developments by researchers at institutions including the University of Cambridge, Rutgers University, ETH Zurich, and University of Tokyo. Concepts he introduced underpin algorithmic work inspired by Jack Edmonds and structural results pursued by Paul Seymour and Neil Robertson. His editorial leadership and mentoring helped establish research networks connecting the Centre national de la recherche scientifique with the Mathematical Sciences Research Institute and other international centers. Collections of papers and conference proceedings he edited continue to serve as reference points for students and scholars in combinatorics and topological graph theory, and conferences in his honor have been organized by groups associated with the Société Mathématique de France and the European Mathematical Society.
Category:French mathematicians Category:Graph theorists Category:1937 births Category:2013 deaths