| EPSRC Reference: |
EP/G025754/1 |
| Title: |
First Grant for Ambrus Pal |
| Principal Investigator: |
Pal, Dr A |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
First Grant Scheme |
| Starts: |
31 October 2008 |
Ends: |
30 October 2011 |
Value (£): |
220,408
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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04 Sep 2008
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Mathematics Prioritisation Panel
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Announced
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Summary on Grant Application Form |
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The proposed approach to tackle the main objective, making progress on the Artin-Tate conjecture, is to combine methods using the Langlands correspondence for function fields with tools of p-adic analytic nature, in particular crystalline cohomology. Our strategy will likely not just show the conjecture in its original form in special cases, but will lead to refined versions as well, therefore deepening our understanding in the general case. In particular we intend to show a generalized form of the Gross-Zagier formula for function fields, and derive as an application that every genus one curve defined over a function field has a solvable point. Moreover we will work towards proving that a weak form of the Tate conjecture implies a refined version of the Artin-Tate conjecture involving p-adic regulators. We also intend to study the divisibility properties of p-adic L-functions via the Langlands program, and as a closely related problem, we'll start to develop a p-adic version of the latter both as a tool for our particular problem, both for laying the foundations for future research.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |