Download The Unravelers: Mathematical Snapshots by Jean-Francois Dars, Annick Lesne, Anne Papillault PDF

By Jean-Francois Dars, Annick Lesne, Anne Papillault

Via revealing images and accompanying textual content, this e-book bargains a fascinating and gorgeous glimpse into the internal lifetime of the Institut des Hautes Etudes Scientifiques (IHES). The IHES in France is an institute of complicated examine in arithmetic and theoretical physics with an curiosity in epistemology and the background of technological know-how. It presents enormously talented scientists with a spot the place they could dedicate themselves completely to their study, freed from educating and administrative constraints, and gives them the chance to ask viewers with whom they need to paintings.

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On April 26th 1961 I married Bryce DeWitt. In 1958 the IHES was created (at the Thiers Foundation in Paris). In 1962 the Institute moved to Bois-Marie at Buressur-Yvette. For 50 years I have frequented the IHES and participated in its activities in various capacities, but always with the same enchantment. A few landmarks: in the 60s during a cocktail party at the IHES I met Pierre Cartier and disco- 43 vered his competence in the most varied fields. In 2006 our book Functional Integration, Action and Symmetries was published (Cambridge University Press), the fruit of twenty years of collaboration.

Mathematical activity, forever searching for a balance between the two extremes, is nothing other than, to borrow an expression from a Portuguese philosopher Antonio Sérgio, a structured fury, but which is expressible. Paulo Almeida Ngô Bao Châu Paris-Sud University Institute for Advanced Study, Princeton A Tartar Desert 24 Upon arriving at the IHES we ordinary mathematicians share the same feeling that Muslims experience on a pilgrimage to Mecca. Here is the place where, for a dozen or so years, Grothendieck relentlessly explained the holy word to his apostles.

But what does it mean, “to understand”? This word has many meanings. For the scientific mind it means first of all to classify phenomena and pinpoint the relationships between them. The classification and the relationships exist. This is an observable fact that distinguishes outside reality from that which we construct sometimes in our sleep. The second stage is to group these relationships in a more general law of which they are the consequences and, finally, to transpose this law in a model constructed by our thought.

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