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Over the last thirty years, number theorists have come to realise that the mysterious connexions between arithmetic problems and the properties of zeta and L-functions, initially discovered in the first half of the nineteenth century, are far more extensive than had been imagined earlier. A vast web of overlapping conjectures has now been formulated, stretching from the Riemann hypothesis and Fermat's last theorem to the Tamagawa numbers of motives. The programme will bring together mathematicians from arithmetical algebraic geometry, automorphic forms, and classical analytic number theory, to work on several of these conjectures.
There will be a regular seminar programme throughout the period, held at 16.15 on Tuesdays and 11.15 on Thursdays. In addition the following periods of concentration have been planned:
All are welcome to attend any of these activities.
The following have accepted invitations to participate in the programme for the periods indicated:
A. Agboola (MSRI), 1 Feb-1 Mar; M. Kurihara (Tokyo), 1 May-30 Jun; P. Berthelot (Rennes), 1 Jun-30 Jun; J-P. Labesse (Paris), 14 Feb-28 Feb; B. Birch (Oxford), 1 Jan-30 Jun; G. Laumon (Orsay), 1 Apr-15 Apr; D. Blasius (UCLA), 1 Apr-30 Jun; B. Mazur (Harvard), 1 May-30 Jun; S. Bloch (Chicago), 1 Apr-30 Jun; W. Messing (Minnesota), 1 May-30 Jun; E. Bombieri (IAS, Princeton), 1 Jun-30 Jun; J. Neukirch (Regensburg), 1 Apr-15 Apr; N. Boston (Illinois), 1 Jan-30 Jun; B. Perrin-Riou (Paris), 1 Jun-30 Jun; C. Bushnell (KCL, London), 1 Apr-30 Apr; M. Ram Murty (McGill), 15 Mar-15 Apr; J. Coates (Cambridge), 1 Jan-30 Jun; D. Ramakrishnan (Caltech), 21 Mar-15 Apr; L. Clozel (Orsay), 1 Apr-30 Apr; M. Rapoport (Wuppertal), 15 Mar-20 Apr; P. Colmez(ENS, Paris), 1 May-31 May; K. Ribet (Berkeley), 12 May-30 Jun; C. Deninger (M), 15 Feb-14 Mar; K. Rubin (Ohio), 30 May-26 Jun; U. de Shalit (Jerusalem), 1 Jun-30 Jun; J-M. Fontaine (Orsay), 1 May-30 Jun; C. Schmidt (Karlsruhe), 15 Mar-18 Apr; A. Granville (Georgia), 1 Jan-30 Jun; P. Schneider (Cologne), 15 Feb-15 Apr; R. Greenberg (Seattle), 1 May-30 Jun; A. Scholl (Durham), 1 Feb-30 Apr; G. Harder (Bonn), 20 Mar-10 Apr; J. Tate (Austin), 1 Jun-30 Jun; M. Harris (Brandeis), 1 Apr-30 Apr; M. Taylor (UMIST), 15 Feb-28 Feb; R. Heath-Brown (Oxford), 1 Apr-15 Jun, 20 Mar-30 Apr; G. Henniart (Orsay), 1 Apr-30 Apr; R. Taylor (Cambridge), 1 Jan-30 Jun; H. Hida (UCLA), 1 Apr-15 May; R. Vaughan (IC, London), 1 Feb-30 Apr; Y. Ihara (Kyoto); 1 Jun-30 Jun; A. Wiles (Princeton), 15 May-30 Jun; L. Illusie (Orsay), 1 Jun-30 Jun; K. Wingberg (Heidelberg), 1 Feb-8 Apr; U. Jannsen (Cologne), 15 Feb-14 Apr; T. Wooley (Ann Arbor), 1 Mar-30 Apr; K. Kato (Tokyo), 15 Mar-15 Jun; N. Yui (Queen's), 1 Jan-31 Mar; V. Kolyvagin (Moscow), 1 May-30 Jun; S. Zhang (Beijing), 1 Jan-31 Mar; S. Kudla (Maryland), 1 Apr-30 Apr.
1 October 2018 to 1 October 2018
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INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
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Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
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“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
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Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.