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Nov 12, 2017 · A good place to start understanding Gromov's ideas is his webpage, where he posts nearly everything he has written that is not a book (and some of his book). He appears to be a believer in the unfettered diffusion of ideas.
Apr 16, 2009 · The key idea of Gromov was to give a way to identify the Large scale structure of a space in a way that hyperbolic spaces can be distinguished. Prior to Gromov’s work in geometry, it was generally believed that continuous operations were the only way to observe qualitative properties of the space. For example, the study of topology has often ...
The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. [1] It was first proven in 1985 by Mikhail Gromov. [2] The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of the ...
Gromov: My mother was a medical doctor in the fighting army—and to give birth at that time, she had to move a little away from the frontline. Raussen and Skau: Could you tell us about your background, your early education, and who or what made you interested in mathematics?
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Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work in geometry, analysis and group theory.
1. Why is the waist inequality hard? The waist inequality is sharp and the optimal map is quite simple. Think of Sn as the unit sphere in Rn+1. Let L be a linear map Rn+1 Rq. The fibers of L : Sn Rq will be (n-q)-dimensional spheres, and the largest of these will be an (n-q)-dimensional equator.
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There is an opinion that “the h-principle is the hardest part of Gromov’s work to popularize” (see [Be00]). We have written our book in order to im-prove the situation. We consider here two geometrical methods: holonomic approximation, which is a version of the method of continuous sheaves, and convex integration. We do not pretend to ...
