Charles C. Conley

Charles Cameron Conley (* 1933, † 1984) was an American mathematician who worked on dynamic systems.

Life

Charles C. Conley was 1962 with Jürgen Moser at the Massachusetts Institute of Technology (where he was also Moore Instructor ) PhD ( On some long periodic solutions of the plane restricted three body problem). He was a professor at the University of Wisconsin in Madison.

Conley developed an eponymous topological index theory of dynamic systems. It uses the Morse theory and served as a starting point for the development of Floer homology.

With Eduard Zehnder, he proved 1983, the Arnold conjecture of symplectic geometry for tori of arbitrary dimension.

Among his doctoral students include Constantine Mischaikow and Richard McGehee. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( On the continuation of invariant sets of a flow).

Charles C. Conley is not with the mathematician Charles H. Conley (Professor at the University of North Texas in Denton ) to be confused.

Writings

  • Conley Isolated invariant sets and the Morse index, CBMS Regional Conference Series in Mathematics, 38 American Mathematical Society, Providence, RI, 1978
  • Conley, Zehnder The Birkhoff - Lewis fixed point theorem and a conjecture of VIArnold, Inventiones Mathematicae, Volume 73, 1983, pp. 33-49
  • Conley, Zehnder Morse type index theory for flows and periodic solutions for Hamiltonian systems, Communications in Pure and Applied Mathematics, Volume 37, 1984, pp. 207-253
Dynamical system C.L.E. Moore instructor Madison (Wisconsin) Integrated Authority File
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