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Deformations of Symplectic Foliations via Dirac Geometry and L_\infty Algebras

In this talk, based on joint work with Stephane Geudens and Marco Zambon, we develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. ...

An introduction to amenability in bounded cohomology

Bounded cohomology of groups is a variant of ordinary group cohomology introduced by Johnson in the 70s in the context of Banach algebras and then intensively studied by Gromov in his seminal paper "V...

Ricci flow and the 1/4-pinched differentiable sphere theorem (after Brendle and Schoen), I

We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...

Ricci flow and the 1/4-pinched differentiable sphere theorem (after Brendle and Schoen), II

We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...

Ricci flow and the 1/4-pinched differentiable sphere theorem (after Brendle and Schoen), III

We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...

Ricci flow and the 1/4-pinched differentiable sphere theorem (after Brendle and Schoen), IV

We shall show that a Riemanian manifold whose sectional curvature is strictly between 1 and 1/4 is diffeomorphic to the standard sphere. The proof uses the Ricci flow without surgery and a nice work o...

Introduction to spin geometry, I

Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...

Introduction to Spin Geometry, II

Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...

Introduction to Spin Geometry, III

Spin geometry arises from the attempt to define a first-order differential operator whose square is equal to the Laplace operator. In Euclidean space this problem can be solved after moving from scala...

The Kato condition for Ricci curvature and consequences, I

I will first explain the Kato class on the Euclidean space and on Riemannian manifold. Then I will explain some consequences for complete Riemannian manifold whose Ricci curvature in the Kato class. T...
Iscriviti a a.a. 2024-2025