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Topological Automorphic Forms
| eBook ISBN: | 978-1-4704-0572-4 |
| Product Code: | MEMO/204/958.E |
| List Price: | $78.00 |
| MAA Member Price: | $70.20 |
| AMS Member Price: | $46.80 |
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Topological Automorphic Forms
| eBook ISBN: | 978-1-4704-0572-4 |
| Product Code: | MEMO/204/958.E |
| List Price: | $78.00 |
| MAA Member Price: | $70.20 |
| AMS Member Price: | $46.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 204; 2009; 136 ppMSC: Primary 55; Secondary 11
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 space of elliptic curves.
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Table of Contents
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Chapters
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Introduction
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1. $p$-divisible groups
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2. The Honda-Tate classification
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3. Tate modules and level structures
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4. Polarizations
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5. Forms and involutions
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6. Shimura varieties of type $U(1,n-1)$
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7. Deformation theory
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8. Topological automorphic forms
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9. Relationship to automorphic forms
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10. Smooth $G$-spectra
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11. Operations on $\mathit {TAF}$
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12. Buildings
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13. Hypercohomology of adele groups
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14. $K(n)$-local theory
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15. Example: chromatic level $1$
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Volume: 204; 2009; 136 pp
MSC: Primary 55; Secondary 11
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 space of elliptic curves.
-
Chapters
-
Introduction
-
1. $p$-divisible groups
-
2. The Honda-Tate classification
-
3. Tate modules and level structures
-
4. Polarizations
-
5. Forms and involutions
-
6. Shimura varieties of type $U(1,n-1)$
-
7. Deformation theory
-
8. Topological automorphic forms
-
9. Relationship to automorphic forms
-
10. Smooth $G$-spectra
-
11. Operations on $\mathit {TAF}$
-
12. Buildings
-
13. Hypercohomology of adele groups
-
14. $K(n)$-local theory
-
15. Example: chromatic level $1$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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