tag:blogger.com,1999:blog-6912603287930240451.post6821460321000517626..comments2023-08-16T08:02:29.630+00:00Comments on Noncommutative Geometry: Le rêve mathématiqueUnknownnoreply@blogger.comBlogger6125tag:blogger.com,1999:blog-6912603287930240451.post-78916156625094250892007-06-11T20:11:00.000+00:002007-06-11T20:11:00.000+00:00As a parallel to the ideas of Alain Connes on tili...As a parallel to the ideas of Alain Connes on tilings, eg, by Penrose tiles, it has long seemed to me that the Universality Theorem about the critical strip of the Riemann zeta function should have similar properties. By the Universality Theorem, I mean the theorem that says that a copy of every disc-shaped region of every analytic function can be found, to within arbitrary tolerance, within the James A. Givenhttps://www.blogger.com/profile/15765926707365898734noreply@blogger.comtag:blogger.com,1999:blog-6912603287930240451.post-65212323212277935562007-03-10T20:59:00.000+00:002007-03-10T20:59:00.000+00:00I would like to thank Alain for this enlightening ...I would like to thank Alain for this enlightening post.<BR/>Here is a short <A HREF="http://www.math.uwo.ca/~masoud/cv/TehProg.pdf" REL="nofollow">expository<BR/>piece</A>, written about a year ago, on the approach to the Riemann<BR/>hypothesis that was mentioned by Alain in his post. There was a<BR/>numerical error (log 2) in my original version that is now corrected<BR/>(many thanks to Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6912603287930240451.post-85139436042244197722007-03-09T08:11:00.000+00:002007-03-09T08:11:00.000+00:00I think there is no proof in sight because even su...I think there is no proof in sight because even such simple things as adeles, ideles, are not enough well understood geometrically.<BR/>The previous lack of a serious geometry that put all absolute values on an equality footing is also part of the problem.<BR/><BR/>It is clear from the automorphic or spectral point of view that zeta functions are not talking about primes but about interaction of Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6912603287930240451.post-56072156471287630592007-03-09T04:50:00.000+00:002007-03-09T04:50:00.000+00:00hi, thanks so much for your posts. As much as I li...hi, thanks so much for your posts. As much as I like its math content(which is way over my head!) I also liked a lot the Grothendieck quote<BR/>and the `Faustian joke'. It reminded me of a story invloving Hardy and the RH..... Speaking of the RH I like to put this question to visitors of this blog: do you think a proof (by any means) is in sight??Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6912603287930240451.post-63377826376467245982007-03-09T04:41:00.000+00:002007-03-09T04:41:00.000+00:00Dear All,I have noticed that number theory as a g...Dear All,<BR/><BR/>I have noticed that number theory as a generalized quantum physics is one of visions making itself visible in postings.<BR/><BR/>I have been personally working with a dual of this vision: the vision about physics as a generalized number theory. I am of course just a physicist and the standards of mathematical rigor are many orders of magnitude lower. But because poetic self Matti Pitkänenhttps://www.blogger.com/profile/13512912323574611883noreply@blogger.comtag:blogger.com,1999:blog-6912603287930240451.post-33699826055106325672007-03-08T17:47:00.000+00:002007-03-08T17:47:00.000+00:00Hi all,I like very much the faust story.Probably a...Hi all,<BR/><BR/>I like very much the faust story.<BR/>Probably all mathematicians that dreamed on such an exiting problem as the RH have had some day the desire to sell their own soul to the devil... but this did not give us<BR/>the solution, which proves by the experience the validity of your parabola.Anonymousnoreply@blogger.com