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5 giorni fa · We propose that the $1$-form symmetry of an absolute theory is isomorphic to a torsion subgroup of the Mordell-Weil group of sections of the absolute curve, while the full defect group of the theory is encoded in the torsion sections of a so-called relative curve.
5 giorni fa · Faltings' Theorem, previously known as Mordell's Conjecture, is a groundbreaking result in the field of mathematics. This theorem provides a deep understanding of the solutions to equations involving rational numbers and has far-reaching implications in number theory and algebraic geometry.
5 giorni fa · Description. Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as ...
4 giorni fa · The overarching aim of Dedekind’s endeavors was to provide a generalization of the fundamental theorem of arithmetic, an undertaking that would profoundly impact the field of number theory. Finite fields, which play a vital role in modern mathematics, find their roots in the pioneering work of Galois and the theory of polynomial congruences developed by Gauss.
5 giorni fa · This is the first primary introductory textbook on complex variables and analytic functions to make extensive use of functional illustrations. presents current advances in research, highlighting the subject's active and fascinating frontier. The primary audience for this textbook is undergraduate students taking an introductory course on ...
4 giorni fa · Wednesday 17th July 2024, 6.15 - 7.30pm, Science Museum, London, SW7. Terry Tao is one of the world's leading mathematicians and winner of many awards including the Fields Medal. He is Professor of Mathematics at the University of California, Los Angeles (UCLA). Following his talk Terry will be in conversation with fellow mathematician Po-Shen Loh.
5 giorni fa · David Gregory (1659-1708) was Professor of Mathematics at Edinburgh University from 1683 to 1692. He is best known for his influential textbook 'Astronomiae Physicae et Geometricae Elementa', the first work to apply the language of Newtonian gravitation to astronomy. The collection includes manuscripts of lectures, of mathematical and ...
