Posts Tagged: Marcolli

  • math

    The martial art of giving talks

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    Last fall, Matilde Marcolli gave a course at CalTech entitled Oral Presentation: The (Martial) Art of Giving Talks. The purpose of this course was to teach students “how to effectively communicate their work in seminars and conferences and how to defend it from criticism from the audience”. The lecture notes contain basic information on the… Read more »

  • stories

    Art and the absolute point (3)

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    Previously, we have recalled comparisons between approaches to define a geometry over the absolute point and art-historical movements, first those due to Yuri I. Manin, subsequently some extra ones due to Javier Lopez Pena and Oliver Lorscheid. In these comparisons, the art trend appears to have been chosen more to illustrate a key feature of… Read more »

  • absolute, stories

    Art and the absolute point (2)

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    Last time we did recall Manin’s comparisons between some approaches to geometry over the absolute point $\pmb{spec}(\mathbb{F}_1)$ and trends in the history of art. In the comments to that post, Javier Lopez-Pena wrote that he and Oliver Lorscheid briefly contemplated the idea of extending Manin’s artsy-dictionary to all approaches they did draw on their Map… Read more »

  • noncommutative, number theory

    Langlands versus Connes

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    This is a belated response to a Math-Overflow exchange between Thomas Riepe and Chandan Singh Dalawat asking for a possible connection between Connes’ noncommutative geometry approach to the Riemann hypothesis and the Langlands program. Here’s the punchline : a large chunk of the Connes-Marcolli book Noncommutative Geometry, Quantum Fields and Motives can be read as… Read more »

  • stories

    math & manic-depression, a Faustian bargain

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    In the wake of a colleague’s suicide and the suicide of three students, Matilde Marcolli gave an interesting and courageous talk at Caltech in April : The dark heart of our brightness: bipolar disorder and scientific creativity. Although these slides give a pretty good picture of the talk, if you can please take the time… Read more »

  • featured

    Pollock your own noncommutative space

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    I really like Matilde Marcolli’s idea to use some of Jackson Pollock’s paintings as metaphors for noncommutative spaces. In her talk she used this painting and refered to it (as did I in my post) as : Jackson Pollock “Untitled N.3”. Before someone writes a post ‘The Pollock noncommutative space hoax’ (similar to my own… Read more »

  • featured

    Views of noncommutative spaces

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    The general public expects pictures from geometers, even from non-commutative geometers. Hence, it is important for researchers in this topic to make an attempt to convey the mental picture they have of their favourite noncommutative space, … somehow. Two examples : This picture was created by Shahn Majid. It appears on his visions of noncommutative… Read more »

  • web

    best of 2008 (1) : wiskundemeisjes

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    A feeble attempt to translate the Marcolli-post by the ‘wiskundemeisjes’.

  • absolute, web

    F_un hype resulting in new blog

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    At the Max-Planck Institute in Bonn Yuri Manin gave a talk about the field of one element, $\mathbb{F}_1 $ earlier this week entitled “Algebraic and analytic geometry over the field F_1”. Moreover, Javier Lopez-Pena and Bram Mesland will organize a weekly “F_un Study Seminar” starting next tuesday. Over at Noncommutative Geometry there is an Update… Read more »

  • absolute

    Looking for F_un

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    There are only a handful of human activities where one goes to extraordinary lengths to keep a dream alive, in spite of overwhelming evidence : religion, theoretical physics, supporting the Belgian football team and … mathematics. In recent years several people spend a lot of energy looking for properties of an elusive object : the… Read more »

  • featured

    the Bost-Connes coset space

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    In the series “Noncommutative geometry and the Riemann zeta function” we give an introduction to the Bost-Connes algebra. We describe its relation to adeles/ideles and to KMS-states leading to the zeta-function as the partition function.

  • web

    quick iTouch links

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    MacBookAir? Is this really the best Apple could come up with? A laptop you can slide under the door or put in an envelop? Yeez… Probably the hot-air-book is about as thick as an iTouch. The first thing I did was to buy a leather case to protect the vulnerable thing, making it as thick… Read more »

  • featured

    neverendingbooks-geometry

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    Here a list of saved pdf-files of previous NeverEndingBooks-posts on geometry in reverse chronological order.

  • featured

    the Manin-Marcolli cave

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    Yesterday, Yuri Manin and Matilde Marcolli arXived their paper Modular shadows and the Levy-Mellin infinity-adic transform which is a follow-up of their previous paper Continued fractions, modular symbols, and non-commutative geometry. They motivate the title of the recent paper by : In [MaMar2](http://www.arxiv.org/abs/hep-th/0201036), these and similar results were put in connection with the so called… Read more »

  • stories

    the father of all beamer talks

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    Who was the first mathematician to give a slide show talk? I don’t have the definite answer to this question, but would like to offer a strong candidate : Hermann Minkowski gave the talk “Zur Geometrie der Zahlen” (On the geometry of numbers) before the third ICM in 1904 in Heidelberg and even the title… Read more »

  • stories

    noncommutative geometry : a medieval science?

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    According to a science article in the New York Times, archeologists have discovered “signs of advanced math” in medieval mosaics. An example of a quasi-crystalline Penrose pattern was found at the Darb-i Imam shrine in Isfahan, Iran. A new study shows that the Islamic pattern-making process, far more intricate than the laying of one‚Äôs bathroom… Read more »

  • stories

    non-(commutative) geometry

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    Now that my non-geometry post is linked via the comments in this string-coffee-table post which in turn is available through a trackback from the Kontsevich-Soibelman paper it is perhaps useful to add a few links. The little I’ve learned from reading about Connes-style non-commutative geometry is this : if you have a situation where a… Read more »

  • stories

    music of the primes

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    Let me admit it : i was probably wrong in this post to advise against downloading A walk in the noncommutative garden by Alain Connes and Matilde Marcolli. After all, it seems that Alain&Matilde are on the verge of proving the biggest open problem in mathematics, the Riemann hypothesis using noncommutative geometry. At least, this… Read more »

  • featured

    noncommutative topology (1)

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    A couple of days ago Ars Mathematica had a post Cuntz on noncommutative topology pointing to a (new, for me) paper by Joachim Cuntz A couple of years ago, the Notices of the AMS featured an article on noncommutative geometry a la Connes: Quantum Spaces and Their Noncommutative Topology by Joachim Cuntz. The hallmark of… Read more »

  • stories

    Alain Connes on everything

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    A few days ago, Ars Mathematica wrote : Alain Connes and Mathilde Marcolli have posted a new survey paper on Arxiv A walk in the noncommutative garden. There are many contenders for the title of noncommutative geometry, but Connes‚Äô flavor is the most successful. Be that as it may, do not print this 106 page… Read more »

  • featured

    a cosmic Galois group

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    Are there hidden relations between mathematical and physical constants such as $\frac{e^2}{4 \pi \epsilon_0 h c} \sim \frac{1}{137} $ or are these numerical relations mere accidents? A couple of years ago, Pierre Cartier proposed in his paper A mad day’s work : from Grothendieck to Connes and Kontsevich : the evolution of concepts of space… Read more »