{"product_id":"9783031559136","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eAbbes, Ahmed; Gros, Michel\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book delves into the \u003ci\u003ep-\u003c\/i\u003eadic Simpson correspondence, its construction, and development. Offering fresh and innovative perspectives on this important topic in algebraic geometry, the text serves a dual purpose: it describes an important tool in \u003ci\u003ep-\u003c\/i\u003eadic Hodge theory, which has recently attracted significant interest, and also provides a comprehensive resource for researchers. Unique among the books in the existing literature in this field, it combines theoretical advances, novel constructions, and connections to Hodge-Tate local systems.\u003c\/p\u003e\u003cp\u003eThis exposition builds upon the foundation laid by Faltings, the collaborative efforts of the two authors with T. Tsuji, and contributions from other researchers. Faltings initiated in 2005 a \u003ci\u003ep-\u003c\/i\u003eadic analogue of the (complex) Simpson correspondence, whose construction has been taken up in several different ways. Following the approach they initiated with T. Tsuji, the authors develop new features of the \u003ci\u003ep-\u003c\/i\u003eadic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. First, they address the connection to Hodge-Tate local systems. Then they establish the functoriality of the \u003ci\u003ep-\u003c\/i\u003eadic Simpson correspondence by proper direct image. Along the way, they expand the scope of their original construction.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe book targets a specialist audience interested in the intricate world of \u003ci\u003ep-\u003c\/i\u003eadic Hodge theory and its applications, algebraic geometry and related areas. Graduate students can use it as a reference or for in-depth study. Mathematicians exploring connections between complex and \u003ci\u003ep-\u003c\/i\u003eadic geometry will also find it valuable.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2024-05-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031559136\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-55914-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 443\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":45369840533644,"sku":"9783031559136","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031559136.jpg?v=1777373426","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031559136","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}