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Invitation to scalar curvature

By Mikhail Gromov

There are three great domains in geometry, which lie on the boundary of "soft" and "rigid":

(1) low dimensional, especially 4-dimensional topology/geometry;
(2) symplectic topology/geometry; (3) scalar curvature bounded from below.

I will try to elucidate in my lecture common features of these three and explain the specificity of the problems arising with the scalar curvature.

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