{"product_id":"berkeley-lectures-on-p-adic-geometry-paperback","title":"Berkeley Lectures on P-Adic Geometry - Paperback","description":"\u003cp\u003eby \u003cb\u003ePeter Scholze\u003c\/b\u003e (Author), \u003cb\u003eJared Weinstein\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eBerkeley Lectures on p-adic Geometry\u003c\/i\u003e presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of \u003ci\u003ep\u003c\/i\u003e-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of \"diamonds,\" which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a \u003ci\u003ep\u003c\/i\u003e-adic field. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThis book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores \u003ci\u003ep-\u003c\/i\u003eadic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including \u003ci\u003ep\u003c\/i\u003e-divisible groups, \u003ci\u003ep\u003c\/i\u003e-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. \u003ci\u003eBerkeley Lectures on p-adic Geometry\u003c\/i\u003e will be a useful resource for students and scholars working in arithmetic geometry and number theory.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003ePeter Scholze\u003c\/b\u003e is a professor at the University of Bonn and director of the Max Planck Institute for Mathematics. \u003cb\u003eJared Weinstein\u003c\/b\u003e is associate professor of mathematics at Boston University.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 264\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.7 x 9.1 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 26, 2020\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42683554332735,"sku":"9780691202082","price":190.84,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/98a67ec5a5adc62290484aba22be38bd.webp?v=1764964280","url":"https:\/\/dhlswag.com\/products\/berkeley-lectures-on-p-adic-geometry-paperback","provider":"BBB","version":"1.0","type":"link"}