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Sir William Vallance Douglas Hodge FRS FRSE (/ h ɒ dʒ /; 17 June 1903 – 7 July 1975) was a British mathematician, specifically a geometer. [3] [4] His discovery of far-reaching topological relations between algebraic geometry and differential geometry —an area now called Hodge theory and pertaining more generally to Kähler ...
- W. V. D. Hodge - Simple English Wikipedia, the free encyclopedia
Hodge's home at 1 Church Hill Place, Edinburgh. Sir William...
- W. V. D. Hodge - Simple English Wikipedia, the free encyclopedia
William Vallance Douglas Hodge (Edimburgo, 17 giugno 1903 – Cambridge, 7 luglio 1975) è stato un matematico britannico. Conosciuto per i suoi contributi in geometria, è noto in particolare per lo sviluppo di quella che è oggi conosciuta come teoria di Hodge e per aver introdotto l'operatore di Hodge.
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations. The key observation is that, given a Riemannian metric on M , every cohomology class has a canonical representative , a differential form that vanishes under the ...
In matematica, la teoria di Hodge, che prende il nome da William Hodge, è un modo di studiare le forme differenziali su una varietà liscia . In termini più specifici, cerca di comprendere le conseguenze sui gruppi di coomologia di , a coefficienti reali, a seguito di una teoria di equazioni alle derivate parziali su operatori ...
In mathematics, the Hodge star operator or Hodge star is a linear map defined on the exterior algebra of a finite-dimensional oriented vector space endowed with a nondegenerate symmetric bilinear form. Applying the operator to an element of the algebra produces the Hodge dual of the element. This map was introduced by W. V. D. Hodge .
William Vallance Douglas Hodge. Quick Info. Born. 17 June 1903. Edinburgh, Scotland. Died. 7 July 1975. Cambridge, England. Summary. William Hodge was Lowndean Professor of Astronomy and Geometry at Cambridge. His main interests were in Algebraic Geometry and Differential Geometry. View six larger pictures. Biography.
