It takes the average reader 5 hours and 17 minutes to read Hodge Theory, Complex Geometry, and Representation Theory by Mark Green
Assuming a reading speed of 250 words per minute. Learn more
This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another--an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of automorphic cohomology. For the latter topic, of particular importance is the recent work of Carayol that potentially introduces a new perspective in arithmetic automorphic representation theory. The present work gives a treatment of Carayol's work, and some extensions of it, set in a general complex geometric framework. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms and selected other topics from the recent literature. A co-publication of the AMS and CBMS.
Hodge Theory, Complex Geometry, and Representation Theory by Mark Green is 308 pages long, and a total of 79,464 words.
This makes it 104% the length of the average book. It also has 97% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 14 minutes to read Hodge Theory, Complex Geometry, and Representation Theory aloud.
Hodge Theory, Complex Geometry, and Representation Theory is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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