Newsgroups: sci.math
From: dg@dgupta.hpl.hp.com (Dipankar Gupta)
Subject: Re: Fermat Proof
Date: Wed, 15 Feb 1995 12:13:41 GMT

 PM> Just out of curiosity: Are there any other known mathematicians besides
 PM> Louis de Branges who are known to be working on the Riemann hypothesis?

 Christopher Deninger 
 ``Motivic $L$-functions and regularized determinants.''

  In _Motives_,  Proc. Sympos. Pure Math., 55, Part 1, AMS pp 707--743

It describes an arithmetic cohomology theory, and discusses it's
applications to analytic number theory and RH.

--Dipankar


==============================================================================

Date: Wed, 15 Feb 1995 19:21:13 +0100 (CET)
From: Franz Lemmermeyer <hb3@ix.urz.uni-heidelberg.de>
Subject: Re: Riemann Hypothesis
To: Dave Rusin <rusin@math.niu.edu>

On Wed, 15 Feb 1995, Dave Rusin wrote:

> In article <3hsd1m$b27@sun0.urz.uni-heidelberg.de> you write:
> >  Prof. J. Neukirch gave a lecture at Heidelberg last Friday, and 
> >  reported about some exciting work of Deninger (sp?). The talk gave
> >  me the impression that a proof of the Riemann hypothesis is
> >  just around the corner (in fact, all that is missing is to
> >  find a certain cohomology group with a suitable structure).
> 
> OK, you've piqued my interest. I know a cohomology group or two; 
 
      so do I

> do you know which one he's looking for?
   
  certainly none of those i know, and presumably none of yours, either.
  Apparently Deninger's work parallels Deligne's proof of the Weil
  conjectures; he is looking for a cohomology theory, and he already
  knows what H^0(?,?) and H^2(?,?) should be - so all that is missing
  is H^1(?,?), together with a Hodge-*-operator on this
  vector space with some additional properties. Sorry for the ??'s, 
  but that's all i can remember. 

franz 
 
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