Nettet19. jul. 2024 · New Shape Opens ‘Wormhole’ Between Numbers and Geometry. Laurent Fargues and Peter Scholze have found a new, more powerful way of connecting number theory and geometry as part of the sweeping Langlands program. Matteo Bassini for Quanta Magazine; spots by Olena Shmahalo/Quanta Magazine. The grandest project … Nettet14. apr. 2024 · Non-abelian Hodge theory and higher Teichmüller spaces. Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduced by Hitchin more than 35 years ago.
Hodge-Zerlegung – Wikipedia
NettetAbstract Our aim, in writing this article, is to give a survey of the progress in Hodge theory over the past 15 years. Of course, it was first necessary to decide what we mean by “Hodge theory”! This is by no means an easy question, and our answer to it shaped the contents of the article. NettetEn théorie de Hodge, la théorie de Saito des modules de Hodge s’est avérée être un cadre particulièrement adapté à l’étude des propriétés d’hyperbolicité des espaces … eszett typen
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Nettet31. jul. 2008 · This landmark theory of the 20th Century mathematics gives a rigorous foundation to modern field and gauge theories in physics, engineering and physiology. The only necessary background for … WebConvert your documents to HTML with this free online HTML converter. Your email address belongs to a school and you are eligible for a free ... support the following HTML … Nettet17. aug. 2024 · Hodge theory, Hodge theorem nonabelian Hodge theory, noncommutative Hodge theory Brown representability theorem hypercovering theorem Eckmann-Hilton-Fuks duality Edit this sidebar Differential geometry syntheticdifferential geometry Introductions from point-set topology to differentiable manifolds eszett teclado ascii