| EPSRC Reference: |
GR/R00678/01 |
| Title: |
Travel Grant To Develop Collaboration With Los Alamos National Laboratories |
| Principal Investigator: |
Lieven, Professor N |
| Other Investigators: |
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| Department: |
Aerospace Engineering |
| Organisation: |
University of Bristol |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 July 2000 |
Ends: |
31 March 2001 |
Value (£): |
8,491
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| EPSRC Research Topic Classifications: |
| Eng. Dynamics & Tribology |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Zeta functions from geometry, that is, zeta functions of graphs or Ruelle or Selberg zeta functions for locally symmetric spaces or buildings show properties often similar to arithmetic L-functions. The geometric setting often yields means to investigate the structure of these and to obtain results on the analytic properties which are unattainable at the moment on the arithmetic side. In this programme we want to transfer ideas and methods from geometry to arithmetic and vice versa. We especially want to study A. Connes' approach to L-functions and to give it a cohomogical meaning. That is, similar to the case of the Selberg zeta function for locally symmetric spaces it should be possible to turn connes' trace formula into a Lefschetz formula and thus interpret Connes' conjectures in a cohomological way. Further in Connes' approach there are direct connections to random matrix theory which are hoped to reveal the hidden structures behind the as yet empirical observation that asymptotically the zeros of geometric zeta- and L-functions behave like the eigenvalues of random matrices.
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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.bris.ac.uk |