Mikhail Gromov - 1/4 Old, New and Unknown around Scalar Curvature
Geometry of scalar curvature, that is comparable in scope to symplectic geometry, mediates between two worlds: the domain of rigidity, one sees in convexity and the realm of softness, characteristic of topology, such as the cobordism theory.
The aim of this course is threefold:
1. An overview of old and new results, mostly, but not exclusively, on the rigidity side, of manifolds X with positive and, more generally, bounded from below scalar curvatures Sc(X), along with a brief introduction to main techniques.
2. Proof of new geometric comparison type inequalities for Riemannian manifolds X with lower bounds on Sc(X) and on mean curvatures of the boundaries of X.
3. Discussion of open problems concerning Sc superior at 0.
Видео Mikhail Gromov - 1/4 Old, New and Unknown around Scalar Curvature канала Institut des Hautes Études Scientifiques (IHÉS)
The aim of this course is threefold:
1. An overview of old and new results, mostly, but not exclusively, on the rigidity side, of manifolds X with positive and, more generally, bounded from below scalar curvatures Sc(X), along with a brief introduction to main techniques.
2. Proof of new geometric comparison type inequalities for Riemannian manifolds X with lower bounds on Sc(X) and on mean curvatures of the boundaries of X.
3. Discussion of open problems concerning Sc superior at 0.
Видео Mikhail Gromov - 1/4 Old, New and Unknown around Scalar Curvature канала Institut des Hautes Études Scientifiques (IHÉS)
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16 февраля 2019 г. 17:36:58
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