Goncharov, A.B., Spradlin, M., Vergu, C., Volovich, A.: Classical polylogarithms for amplitudes and Wilson loops. Golden J., Goncharov A.B., Spradlin M., Vergu C., Volovich A.: Motivic amplitudes and cluster coordinates. arXiv:1511.05321įathizadeh, F., Ghorbanpour, A., Khalkhali, M.: Rationality of spectral action for Robertson–Walker metrics. 10, 085 (2015)įan, W., Fathizadeh, F., Marcolli M.: Modular forms in the spectral action of Bianchi IX gravitational instantons. 76, 4073–4091 (2004)įan W., Fathizadeh F., Marcolli M.: Spectral action for Bianchi type-IX cosmological models. 34(3), 203–238 (1995)Ĭonnes, A., Marcolli, M.: Renormalization and motivic Galois theory. 10, 101 (2012)Ĭhamseddine A.H., Connes A.: The spectral action principle. MAA Reviews, Mathematical Association of America ( December 4, 2015).Bloch S., Esnault H., Kreimer D.: On motives associated to graph polynomials. Joel Haack, Review of Art in the Life of Mathematicians edited by Anna Kepes Szemerédi.Besides painting, Marcolli is also a writer in many forms, including science fiction, short stories, poetry, and a theater play. Her own art includes painting, where surrealism allows her to express contrasts inherent in the practice of mathematical research and to explore the inner world of patient, difficult, and painful hard work and also the bullying and “culture of cruelty” within the mathematics community. The abstract art of her father and the conceptual art of her mother, together with atonal twentieth-century music, share with mathematics an appreciation of abstract structures. Matilde Marcolli describes how she came to mathematics influenced by her parents’ involvement in Italian contemporary art.In fact what is truly heroic about science is the fact that it does uncover beautiful truths about the universe despite the ugliness and brutality of the human beings involved. This leads inevitably to portraits of scientists as cartoonish heroes: the more profound and significant the science. The general discourse of scientists about science is marred by beliefs of the Ancient Greeks in the kalos kai agathos: that which is beautiful must also be good, and conversely." A Drifter of Dadaist Persuasion by Matilde Marcolli". Szemerédi, Anna Kepes, ed (22 June 2015).Violence, bullying, and intimidation exist and are practiced on a daily basis within the mathematical community, and there is a widespread "culture of cruelty" among its practitioners.Quotes from A Drifter of Dadaist Persuasion (2015) As we will see, the main construction is not unlike the idea of "extra dimensions" many people are familiar with from string theory, except for the fact that the extra dimensions in these models are not only small, but also noncommutative, while the extended dimensions of spacetime maintain their commutative nature. In other words, it is only from the point of view of a slice of the geometry consisting of an ordinary spacetime manifold that we see a difference between gravity and the other forces, while from the point of view of the overall (noncommutative) geometry they are all seen together as gravity. The main idea behind gravity and particle physics models based on noncommutative geometry is that "all forces become gravity" on an noncommutative space.
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