Results 211 to 220 of about 208,236 (249)

Partial differential equations in data science. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Bertozzi AL   +3 more
europepmc   +1 more source

Complex and Symplectic Geometry

2017
This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds; analytic techniques in Kähler
ANGELLA, DANIELE   +2 more
openaire   +3 more sources

WHAT IS SYMPLECTIC GEOMETRY? [PDF]

open access: possibleEuropean Women in Mathematics, 2009
In this talk we explain the elements of symplectic geometry, and sketch the proof of one of its foundational results — Gromov's nonsqueezing theorem — using J-holomorphic curves. 1. First notions Symplectic geometry is an even dimensional geometry. It lives on even dimensional spaces, and measures the sizes of 2-dimensional objects rather than the 1 ...
openaire   +1 more source

Application to Symplectic Geometry [PDF]

open access: possible, 1996
In this chapter we will describe how, starting from a manifold M with a symplectic form σ, which satisfies an integrality condition such that it is the Chern form of a connection of a suitable complex line bundle L over M, one can get all the structures needed for the definition of a spin-c Dirac operator D, acting on sections of E ⊗ L.
openaire   +1 more source

Symplectic and Contact Geometry

1986
Many questions in singularity theory (for instance, the classification of the singularities of caustics and wave fronts, and also the investigation of the various singularities in optimization and variational calculus problems) become understandable only within the framework of the geometry of symplectic and contact manifolds, which is refreshingly ...
openaire   +2 more sources

Symplectic Geometry in Optics

1994
The scope of this book is to address the fundamental problem of modeling transport processes within complex systems, i.e., systems with internal microstructure. The classical engineering approach involves the modeling of the systems as structured continua and the subsequent use of the models in order to derive (if possible) analytical results, exact or
Antony N. Beris, Brian J. Edwards
openaire   +1 more source

Applications in Symplectic Geometry

2020
In this chapter, we discuss various applications of Tamarkin categories in symplectic geometry. We start with a presentation of the Guillermou-Kashiwara-Schapira sheaf quantization, which associates to a homogeneous Hamiltonian diffeomorphism a complex of sheaves with a certain geometric constraint.
openaire   +2 more sources

Symplectic and Quasisymplectic Geometries

1997
In 4.1.1 we have seen that the absolutes of the spaces S n , H n , S l n , and H l n are imaginary or real hyperquadrics, which, as we have seen in 2.8.3 are cosymmetry figures in the space P n . In 2.8.3 we have also seen that, besides hyperquadrics, in P 2n+1 there are cosymmetry figures of an other kind: linear complexes of lines.
openaire   +2 more sources

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