Mumford-Tate Groups and Domains: Their Geometry and - download pdf or read online

By Mark Green,Phillip A. Griffiths,Matt Kerr

Mumford-Tate teams are the elemental symmetry teams of Hodge concept, a topic which rests on the heart of up to date complicated algebraic geometry. This publication is the 1st entire exploration of Mumford-Tate teams and domain names. Containing easy concept and a wealth of recent perspectives and effects, it is going to develop into a necessary source for graduate scholars and researchers.

Although Mumford-Tate teams might be outlined for normal buildings, their conception and use so far has almost always been within the classical case of abelian types. whereas the booklet does research this sector, it makes a speciality of the nonclassical case. the final idea seems to be very wealthy, similar to within the unforeseen connections of finite dimensional and endless dimensional illustration conception of actual, semisimple Lie teams. The authors provide the full category of Hodge representations, an issue that are supposed to turn into a typical within the finite-dimensional illustration concept of noncompact, genuine, semisimple Lie teams. additionally they point out that during the longer term, a connection turns out able to be made among Lie teams that admit discrete sequence representations and the learn of automorphic cohomology on quotients of Mumford-Tate domain names via mathematics teams. Bringing jointly advanced geometry, illustration concept, and mathematics, this publication opens up a clean point of view on an immense subject.

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Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183) (Annals of Mathematics Studies) by Mark Green,Phillip A. Griffiths,Matt Kerr

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