The goal of the mini-symposium itself is to present the state of the art of the emerging and mysterious theory surrounding the “field with one element”. This nonexisting object is one of the main stars in a programme which aims at solving the highly celebrated “Riemann Hypothesis” (proposed by Bernhard Riemann in 1859).
Date: Wednesday, July 4, 2012, 14h00-16h30
Speakers are:
More details will appear soon !
]]>paper with Consani The Hyperring of Adele Classes:
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]]>Since the last activity here, there have been some interesting new Fun-developments, Connes and Consani posted at least two papers, Marcolli at least one, Manin put a new version of his cyclotomy paper online and there was even a ‘survey’-paper relating all different notions of Fun-geometry. So, imho, there’s plenty of new material to cover to keep the site going for a while. Interested in helping out?
]]>On the notion of geometry over F_un
In the revised version, they include a definition for the notion of varieties that are not affine and go a bit further adding a new section with proposals for a new notion of scheme over F_un that involves replacing the category of finite abelian groups by the category of monoids… where have I heard about that before?
]]>During his lecture, he went on following the Connes-Consani paper and their construction of the gadget associated to Chevalley groups, that gives a variety defined over the quadratic extension .
Tomorrow, Peter Arndt from the University of GÃ¶ttingen will give us an introduction to Durov’s approach to geometry. This will be the last talk at the F_un study seminar before Christmas. Hopefully Bram Mesland and Oliver Lorscheid will keep it running in January.
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