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The Fanosearch Project

The Fanosearch Project. Tom Coates Imperial College London. Fano Varieties. These are atomic pieces of mathematical shapes 1 in dimension 1 10 in dimension 2 (del Pezzo , 1880s) 105 in dimension 3 (Mori- Mukai , 1990s) Almost nothing is known in dimensions 4, 5, …. An Example.

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The Fanosearch Project

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  1. The Fanosearch Project Tom Coates Imperial College London

  2. Fano Varieties These are atomic pieces of mathematical shapes 1 in dimension 1 10 in dimension 2 (del Pezzo, 1880s) 105 in dimension 3 (Mori-Mukai, 1990s) Almost nothing is known in dimensions 4, 5, …

  3. An Example

  4. An Example

  5. Some Slices of Fano Varieties

  6. Some Slices of Fano Varieties

  7. An International Team    Galkin Coates Corti Kasprzyk  Golyshev MAGMA

  8. Many Collaborators           KYOTO HAMBURG BERLIN WARWICK GRENOBLE BONN VIENNA

  9. Tools: Meatspace • face-to-face meetings • pencil-and-paper calculations • writing code, analyzing data • arguing at the blackboard

  10. Tools: Like Water To Fish

  11. Tools: Web 2.0 Collaborative blog: • http://coates.ma.ic.ac.uk/fanosearch • sharing data • sharing ideas

  12. Tools: Web 2.0 Twitter feed: • @fanosearch • results of computer calculations • public outreach

  13. Thank you for your time

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