Workshop: Non-Commutative Constructions in Arithmetic and Geometry
Posted by Urs Schreiber
guest post by Minhyong Kim
This is a reminder to people with reasonable access to London that there will be a workshop on
“Non-commutative constructions in arithmetic and geometry”
at University College London on 7 and 8 June. Further information can be found on the page
http://www.ucl.ac.uk/~ucahmki/ncc.html
Unfortunately, I couldn’t get enough funding to support general participants. But, as you will see from the directions there, UCL is very easy to reach from St. Pancras station (Eurostar) or Luton airport (EasyJet), and practically next door to Euston station, allowing the possibility of a day trip from many locations.
Although higher categories do not occur as an explicit theme, the discussion should include many points of interest in common with the regulars of the café.
I hope to see you there.
Minhyong Kim
Posted at May 22, 2008 11:53 AM UTC
Re: Workshop: Non-Commutative Constructions in Arithmetic and Geometry
I would be curious about what Connes thinks on the Weil group (Tate about it) and Weil’s fascinating remark on the idea of a geometric interpretation of it in his 1951 paper “Sur la theorie du corps de classes”:
“…; il se peut qu’une telle interpretation renferme la clef de l’hypothese de Riemann; il est plausible qu’il convienne de la chercher du cote de la theorie des espaces fibres dont l’importance se fait de plus en plus grande dans tant de branches de mathematiques, topologie bien entendue, mais deja aussi geometrie algebrique, espaces de Hilbert, et bientot sans doute arithmetique. “
, and Weil’s comments on it in his collected works. I learned a few days ago from Friedhelm Waldhausen of that. Connes and Marcolli’s remarks (e.g. p.18, p.9) indicate that they think about it, Morava wrote about it here and I wonder if Lichtenbaum’s Weil-etale topology connects to that too.