Yves Colin de Verdière

Yves Colin de Verdière is a French mathematician who studies differential geometry , analysis , graph theory, and mathematical physics .

Colin de Verdière studied from 1964 at the École normal supérieure and received his doctorate in 1973 with Marcel Berger at the University of Paris VII Denis Diderot. Until his retirement in 2006 he was professor at the Institute Fourier at the University of Grenoble .

Among other things, he deals with semiclassical approximations to wave equations (and the Schrödinger equation ) and spectra of graphs (eigenvalues of the Laplace operator on graphs) and Riemannian manifolds , where he found a connection with the length of closed geodesics. Colin de Verdière proved that with ergodic geodetic flow almost all eigenfunctions are evenly distributed. In 1990 he introduced a new graph invariant named after him and a planarity criterion for graphs.

In 1991 he became a member of the Institut universitaire de France . In 1999 he received the Ampère Prize of the French Academy of Sciences , and in 2018 the Émile Picard Medal . In 2004 he became a member of the American Academy of Arts and Sciences . In 1986 he was invited speaker at the ICM in Berkeley ( Specters de variétés riemannienne et spectres de graphes ).

Fonts

Specters de Graphes , 1998

Web links

Homepage at the Fourier Institute in Grenoble
Literature by and about Yves Colin de Verdière in the SUDOC catalog (Association of French University Libraries)
Semiclassical, Riemannian and Combinatorial Aspects of Spectral Theory - Festival Colin de Verdière ( Memento of November 27, 2006 in the Internet Archive ) - Conference in his honor May 29 to June 2, 2006

Individual evidence

^ Notices American Mathematical Society, May 2000, Mathematics People
^ Colin de Verdière: Sur un nouvel invariant des graphes et un critère de planarité . In: Journal of Combinatorial Theory . Series B, Volume 50, 1990, pp. 11-21, On a new graph invariant and a criterion for planarity . In Seymour Robertson (Ed.): Graph Structure Theory. In: Contemporary Mathematics, American Mathematical Society. Providence, Rhode Island 1993, pp. 137-147.

personal data
SURNAME	Colin de Verdière, Yves
BRIEF DESCRIPTION	French mathematician
DATE OF BIRTH	20th century

[1] Notices American Mathematical Society, May 2000, Mathematics People

[2] Colin de Verdière: Sur un nouvel invariant des graphes et un critère de planarité . In: Journal of Combinatorial Theory . Series B, Volume 50, 1990, pp. 11-21, On a new graph invariant and a criterion for planarity . In Seymour Robertson (Ed.): Graph Structure Theory. In: Contemporary Mathematics, American Mathematical Society. Providence, Rhode Island 1993, pp. 137-147.