Certificate in Geometry_ Dirac Geometry - Edukite

10/8/2019

Certificate in Geometry: Dirac Geometry - Edukite

HOME / COURSE / MATHEMATICS / CERTIFICATE IN GEOMETRY: DIRAC GEOMETRY

Certi cate in Geometry: Dirac Geometry ( 9 REVIEWS ) 

978 STUDENTS

If you want to have the progressive idea of unifying the geometry of a Poisson Structure with a closed two-form, …

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Certificate in Geometry: Dirac Geometry - Edukite

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1 YEAR LEVEL 2 - CERTIFICATE COURSE BADGE COURSE CERTIFICATE

16

NUMBER OF UNITS

0

NUMBER OF QUIZZES

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9 HOURS

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HOME

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CURRICULUM

REVIEWS

If you want to have the progressive idea of unifying the geometry of a Poisson Structure with a closed two-form, unifying generalized complex geometry with complex and symplectic geometry, Dirac geometry is a must which is facilitated for you in this Certi cate in Geometry: Dirac Geometry. This Certi cate in Geometry: Dirac Geometry will help you gleam in the eld of Linear Algebra of a SplitSignature Real Bilinear Form, Hodge Decomposition Theorem, Hermitian Geometry, Equivalence Theorem etc.

Assessment This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certi cate at a cost of £49.

Having an Of cial Edukite Certi cation is a great way to celebrate and share your success. You can: Add the certi cate to your CV or resume and brighten up your career Show it to prove your success https://edukite.org/course/certificate-in-geometry-dirac-geometry/

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Certificate in Geometry: Dirac Geometry - Edukite

Course Credit: MIT

COURSE CURRICULUM

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Smooth manifolds, geometry of foliations, and symplectic structure.

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00:30:00

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Comments on previous lecture, symplectic manifolds, and Poisson geometry.

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00:45:00

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Almost complex structure, Hermitian structure, integrability of J, forms on a complex manifold, and Dolbeault cohomology.

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00:30:00

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Geometry of V+V*, linear Dirac structures, and generalized matrices.

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00:45:00

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Spinors, the spin group, a bilinear pairing on spinors, and pure spinors.

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00:45:00

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Generalized Hodge star, and spinors for TM+T*M and the Courant algebroid.

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00:45:00

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Exact Courant algebroids, and Severa’s classi cation of exact Courant algebroids.

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00:30:00

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Dirac structures, and geometry of Lie groups.

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00:45:00

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Bilinear forms on groups

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00:30:00

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Integrability, Dirac maps, and manifolds with Courant structure.

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00:45:00

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Integrability and spinors, and Lie bialgebroids and deformations

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00:30:00

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Generalized complex structures and topological obstructions, intermediate cases, spinorial description, and introduction to Hermitian geometry.

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01:00:00

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Generalized Kahler geometry.

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00:30:00

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Certificate in Geometry: Dirac Geometry - Edukite

Linear algebra, and T-duality.

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00:30:00

Assessment

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Submit Your Assignment

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00:00:00

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Certi cation

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00:00:00

COURSE REVIEWS

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