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The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra—namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized representations of the fundamental group that are p-adically close to the trivial representation. The first approach relies on a new family of period rings built from the torsor of deformations of the variety over a universal p-adic thickening defined by J. M. Font...
With stunning regularity, the search for our cosmic roots has been yielding remarkable new discoveries about the universe and our place in it. In his compelling book, Origins: The Quest for Our Cosmic Roots addresses some of the most profound issues humans have ever confronted. In his compelling book, veteran science journalist Tom Yulsman chronicles the latest discoveries and describes in clear and engaging terms what they mean. From the interior of protons to the outer reaches of the universe, and from the control room of one of the world's most powerful particle accelerators to an observatory atop the tallest mountain in the Pacific basin, Yulsman takes readers on a fantastic voyage at the cutting edge of science.
What Is Time Crystal In condensed matter physics, a time crystal is a quantum system of particles whose lowest-energy state is one in which the particles are in repetitive motion. The system cannot lose energy to the environment and come to rest because it is already in its quantum ground state. Because of this the motion of the particles does not really represent kinetic energy like other motion, it has "motion without energy". Time crystals were first proposed theoretically by Frank Wilczek in 2012 as a time-based analogue to common crystals whereas the atoms in crystals are arranged periodically in space, the atoms in a time crystal are arranged periodically in both space and time. Severa...
In this volume, six leading cosmologists provide a current 'state of the universe' report, examining what we know about the universe, and what pieces are still missing from the cosmic puzzle.
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Includes the Reports of the Institution, which, prior to the establishment of the Journal, were issued separately.