| EPSRC Reference: |
GR/K03661/01 |
| Title: |
L-FUNCTIONS OF MOTIVES AND SHIMURA VARIETIES |
| Principal Investigator: |
Scholl, Professor AJ |
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| Department: |
Mathematical Sciences |
| Organisation: |
Durham, University of |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
31 March 1995 |
Ends: |
29 September 1998 |
Value (£): |
101,031
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Summary on Grant Application Form |
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The conjectures of Beilinson, Deligne, Birch-Swinnerton-Dyer and Bloch-Kato relate special values of L-functions with subtle arithmetic invariants of algebraic varieties over Q. These invariants are related to, amongst other things, the existence of certain non-trivial extensions of motives. We propose to investigate such extensions, the K-theoretic elements from which they arise, and their relation with L-values, in the context of mixed Shimure varieties.
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Key Findings |
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Potential use in non-academic contexts |
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Impacts |
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| Description |
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Sectors submitted by the Researcher |
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