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Automorphic forms

✍ Scribed by Deitmar, Anton


Publisher
Springer
Year
2013
Tongue
English
Leaves
255
Series
Universitext
Category
Library

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✦ Subjects


Formes automΓ²rfiques;Formes automoΜ€rfiques


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Automorphic Forms
✍ Anton Deitmar (auth.) πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag London 🌐 English

<p>Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the cl

Topological automorphic forms
✍ Mark Behrens, Tyler Lawson πŸ“‚ Library πŸ“… 2010 πŸ› Amer Mathematical Society 🌐 English

The authors apply a theorem of J. Lurie to produce cohomology theories associated to certain Shimura varieties of type $U(1,n-1)$. These cohomology theories of topological automorphic forms ($\mathit{TAF}$) are related to Shimura varieties in the same way that $\mathit{TMF}$ is related to the moduli