tag:blogger.com,1999:blog-69126032879302404512020-08-11T12:26:48.821+00:00Noncommutative GeometryUnknownnoreply@blogger.comBlogger124125tag:blogger.com,1999:blog-6912603287930240451.post-38500990122408792582020-02-03T00:40:00.000+00:002020-02-03T00:40:28.369+00:00Advances in Noncommutative Geometry While noncommutative geometry is entering into its fifth decade, we are sure some of this blog's readers were thinking would be appropriate to have a volume of articles by experts looking at its main developments in the past 40 years and looking ahead.The book, Advances in Noncommutative Geometry, dedicated to Alain Connes' 70th birthday, published by Springer late last year, certainly fills Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-24821452722306955402019-10-11T23:20:00.000+00:002019-10-11T23:23:23.689+00:00Sir Michael Atiyah, a Knight Mathematician. A Tribute to Michael Atiyah, an Inspiration and a Friend. By Alain Connes and Joseph KouneiherSir Michael Atiyah was considered one of the world’s foremost mathematicians. He is best known for his work in
algebraic topology and the codevelopment of a branch of
mathematics called topological 𝐾-theory, together with
the Atiyah–Singer index theorem, for which he received
the Fields Medal (1966). He also received the Abel Prize
(2004) along with Isadore M. Singer for their discovery and
Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com1tag:blogger.com,1999:blog-6912603287930240451.post-34942302505104869242019-09-16T18:47:00.000+00:002019-09-16T18:47:22.258+00:00Jami Workshop: Riemann-Roch in characteristic one and related topics
The Johns Hopkins Mathematics Department jointly with the Japan-U.S. Mathematics
Institute (JAMI) plan to organize a workshop on the weekend of October 18-20 2019.
The interactions between the fields of noncommutative arithmetic geometry, tropical geometry, the theory of toposes and mathematical logic, optimization and game theory have matured quite rapidly in the last few years and have KC (= Katia Consani)http://www.blogger.com/profile/12442719430556938476noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-53754410165955865752019-04-09T17:10:00.002+00:002019-04-09T17:10:31.918+00:00Upcoming NCG meetings Noncommutative Geometry Festival 2019 NCG and Representation Theory
Noncommutative Geometry Spring Institue 2019, Nashville
Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-85316368892802347852019-04-08T18:31:00.001+00:002019-04-08T18:31:54.211+00:00Noncommutative manifolds and their symmetriesA conference dedicated to Giovanni Landi on the occasion of his 60th Birthday, Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-80216512040408007492019-01-22T02:29:00.001+00:002019-01-22T02:29:14.578+00:00Operator K-Theory in Geometry, Topology and Representation Theory (Kasparov 70)A conference to mark the occasion of Gennadi Kasparov's 70th birthdayMasoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-8800892156414583052019-01-18T16:02:00.000+00:002019-01-18T16:02:00.800+00:00for a dead friend
It is not surprising that all the honourable men who are manning (what else) this blog did not find it proper to comment on the passing of Sir Michael Atiyah, so I am offering a link to my own:
https://listeningtogolem.blogspot.com/2019/01/the-polar-star-and-life-endgame-elegy.html
Matildehttp://www.blogger.com/profile/01820633659103015340noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-6386204418099119792018-08-03T17:24:00.002+00:002018-08-03T19:48:05.619+00:00Master Class on Noncommutative geometry: spaces, bundles and connectionsRegistration is now open for this master class. For more details please check their website here.
Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-85247488998396116082018-03-07T17:43:00.000+00:002018-03-07T17:44:07.938+00:00Noncommutative Geometry and Index Theory for Group Actions and Singular SpacesThis weeklong workshop will be an opportunity for young researchers
in noncommutative geometry to share their ideas with their peers and
with some of the leaders of the field. Apart from lectures by young
researchers there will be mini-courses by Pierre Albin, Nigel Higson and
Shmuel Weinberger. Topics will include the analysis and geometry of
hypoelliptic operators, group actions on Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-60115484535465040022017-07-17T18:05:00.001+00:002017-07-17T23:02:42.315+00:00Maryam Mirzakhani (May 3, 1977 - July 15, 2017)
Some twenty five years ago when I was told by one of her teachers that she is truly brilliant and exceptional I could have not imagined that I will see this terribly sad day. A shining star is turned off far too soon. Heartfelt condolences to her husband, family, and mathematics community worldwide.
از شمار دو چشم یک تن کم
وز شمار خرد هزاران بیش
"Two eyes are gone
Thousands of minds Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-35959305398264891362017-04-16T19:24:00.000+00:002017-04-30T18:39:56.296+00:00Great Thanks!Let me express my heartfelt thanks to the organizers of the Shanghai 2017 NCG-event
as well as to each participant. Your presence and talks were the most wonderful gift showing so many lively facets of mathematics and physics displaying the vitality of NCG! The whole three weeks were a pleasure due to the wonderful hospitality of our hosts, Xiaoman Chen, Guoliang Yu and Yi-Jun Yao. It is AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-36050386038331898562017-04-10T12:02:00.000+00:002017-04-10T12:46:51.366+00:00DAVIDIt is with immense emotion and sorrow that we learnt the sudden death of David Goss.
He was our dear friend, a joyful supporter of our field and a constant source of inspiration through his great work, of remarkable originality and depth, on function field arithmetics.
We are profoundly saddened by this tragic loss.
David will remain in our heart, we shall miss him dearly.AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com1tag:blogger.com,1999:blog-6912603287930240451.post-26007174186415843872017-02-07T14:08:00.000+00:002017-02-07T14:08:46.813+00:00Connes 70
I am happy to report that to celebrate Alain Connes' 70th birthday, 3 conferences on noncommutative geometry and its interactions with different fields are planned to take place in Shanghai, China. Students, postdocs, young faculty and all those interested in the subject are encouraged to participate. Please check the Conference webpage for more details.
Masoud Khalkhalihttp://www.blogger.com/profile/03769072750559219167noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-9445241179548942712017-01-03T21:47:00.001+00:002017-01-03T21:47:57.367+00:00Gamma functions and nonarchimedean analysisHappy New Year!
I view blog writing as a great opportunity to reach out to members of the mathematics community and especially the younger members; so in this sense blog writing is, for me, very similar to writing for Math Reviews. I have enjoyed doing both for many years (and many many years for MR!). Recently I wrote a review for MR on the paper ``Twisted characteristic p zeta functions'' Anonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-45745669549529875042016-07-24T18:43:00.000+00:002016-07-24T18:43:17.791+00:00A motivic product formulaThe classical product formula for number fields is a fundamental tool in arithmetic. In 1993, Pierre Colmez published a truly inspired generalization of this to the case of Grothendieck's motives. In turn, this spring Urs Hartl and Rajneesh Kumar Singh put an equally inspired manuscript on the arXiv devoted to translating Colmez into the theory of Drinfeld modules and the like. Underneath the Anonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-61700710282770695192016-06-14T01:43:00.002+00:002016-06-14T01:43:49.563+00:00What is a functional equation?Like all number theorists I am fascinated (to say the least) with the functional equation of
classical L-series. Years ago, I came up with a simple characterization of functional equations basically using only complex conjugation. This point being that, via a canonical change of variables (going back to Riemann), such L-series are, up to a nonzero scalar, given by real power series with the Anonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-29671668693068999052016-03-26T23:33:00.002+00:002016-03-26T23:41:53.496+00:00An indirect consequence of the famous Lucas congruence...So, in the course of function field arithmetic, one runs into the binomial coefficients (like one does most everywhere in mathematics); or rather the coefficients modulo a prime p. The primary result about binomial coefficients modulo p is of course the congruence of Lucas. In function field arithmetic
one seems to be unable to avoid the group obtained by permuting p-adic (or q-adic) coefficientsAnonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-40827014384257900312015-11-22T20:51:00.000+00:002015-12-11T16:41:57.120+00:00Review of "Arithmetic of characteristic p special L-values" by B. Anglès and L. TaelmanBruno Anglès and Lenny Taelman have published a profound study of finite characteristic special values as listed in the title. This appeared in Proc. London Math. Soc. (3) 110 (2015) 1000-1032. The analogy with classical theory is clear throughout the paper, as well as some potentially interesting differences; these results bode very well for the future of the subject. I have written a long Anonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-45942890402385263212015-10-30T19:42:00.001+00:002015-10-31T00:29:48.212+00:00C. Armana's Formula for the coefficients of $h$
(full pdf is at https://drive.google.com/file/d/0BwCbLZazAtweOC01dFgyQjBmUlU/view?usp=sharing)
Anonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-776336522303127822015-08-11T19:53:00.001+00:002015-08-11T19:53:45.708+00:00Grand Unification in the Spectral Pati-Salam Model
Last week we (Chamseddine-Connes-van Suijlekom) posted a preprint on grand unification in the spectral Pati–Salam model which I summarize here (and here).
The paper builds on two recent discoveries in the noncommutative geometry approach to particle physics: we showed
how to obtain inner fluctuations of the metric without having to
assume the order one condition on the Dirac operator. Walter van Suijlekomhttp://www.blogger.com/profile/18443611486145891072noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-42366136832363614902015-07-18T22:26:00.001+00:002015-07-18T22:26:54.789+00:00Uffe HaagerupUffe Haagerup was a wonderful man, with a perfect kindness and openness of mind, and a mathematician of incredible power and insight.
His whole career is a succession of amazing achievements and of decisive and extremely influential contributions to the field of operator algebras, C*-algebras and von Neumann algebras.
His first work (1973-80) concerned the theory of weights and more generally AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com1tag:blogger.com,1999:blog-6912603287930240451.post-62039386980839997682015-07-18T22:25:00.000+00:002015-07-18T22:27:51.872+00:00Daniel KastlerDaniel Kastler played for many many years a key role as a leading Mathematical Physicist in developing Algebraic Quantum Field Theory. He laid the foundations of the subject as the famous
"Haag-Kastler" axioms in his joint paper with Rudolf Haag in 1964. He gathered around him, in Bandol, a whole international school of mathematicians and physicists. With the devoted help of his beloved wife AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-20334999426213638662015-07-18T20:50:00.000+00:002015-07-18T20:50:02.605+00:00Two great lossesIt is with incommensurable sadness that we learned of the death of two great figures of the fields of operator algebras and mathematical physics.
Daniel Kastler died on July 4-th in his house in Bandol.
Uffe Haagerup died on July 5-th in a tragic accident while swimming near his summer house in Denmark.
I will write on each of them separately.
AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com0tag:blogger.com,1999:blog-6912603287930240451.post-61655473105086659312015-01-02T17:45:00.000+00:002015-01-02T17:45:42.093+00:00QUANTA OF GEOMETRYThis is a short update on the post called "particles in quantum gravity",
there were interesting comments and rather than answering them in the
blog i just want to point to a long and detailed talk which I gave in the
Hausdorff Institute in Bonn in December and which is now available on YouTube.
In any case this is a good occasion to wish you all a
HAPPY NEW YEAR 2015!AChttp://www.blogger.com/profile/11268275942327566512noreply@blogger.com3tag:blogger.com,1999:blog-6912603287930240451.post-26142917610457443002014-12-12T02:27:00.002+00:002014-12-17T22:09:33.320+00:00The Digit PrincipleAnonymoushttp://www.blogger.com/profile/01874443969277514500noreply@blogger.com0