The mathematics of Misha Gromov

@article{Elek2006TheMO,
  title={The mathematics of Misha Gromov},
  author={G. Elek},
  journal={Acta Mathematica Hungarica},
  year={2006},
  volume={113},
  pages={171-185}
}
  • G. Elek
  • Published 2006
  • Mathematics
  • Acta Mathematica Hungarica
Etudes Scientiflques. He is a member of the French Academy of Sciences and a foreign member of the U.S. National Academy of Sciences. His witty one-liners served as starting points of Ph.D theses, his short comments and exercises has grown to excellent papers of various mathematicians. He created concepts like word hyperbolic groups, pseudoholomorphic curves, simplicial volume and many others. The goal of this essay is to ofier a sort of introduction to some of Gromov’s results and concepts. 

References

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L2-Cohomology and group cohomology
Soft and hard symplectic geometry
Curvature, diameter and betti numbers
Partial Differential Relations
Pinching constants for hyperbolic manifolds
Metric Structures for Riemannian and Non-Riemannian Spaces
Von Neumann spectra near zero
The classification of simply connected manifolds of positive scalar curvature
Asymptotic invariants of infinite groups
Kähler hyperbolicity and $L_2$-Hodge theory
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