{"product_id":"eisensteinkohomologie-und-die-konstruktion-gemischter-motive-von-gunter-harder","title":"Eisensteinkohomologie und die Konstruktion gemischter Motive","description":"\u003cp\u003eThe aim of this book is to show that Shimura varieties\u003c\/p\u003e\u003cp\u003e            provide a tool to    construct certain interesting objects in\u003c\/p\u003e\u003cp\u003e            arithmetic algebraic geometry.     These objects are the\u003c\/p\u003e\u003cp\u003e            so-called mixed motives: these are of great           arithmetic\u003c\/p\u003e\u003cp\u003e            interest. They can be viewed as quasiprojective                  algebraic\u003c\/p\u003e\u003cp\u003e            varieties over Q which have some controlled ramification          and\u003c\/p\u003e\u003cp\u003e            where we know what we have to add at infinity to                        compactify\u003c\/p\u003e\u003cp\u003e            them.\u003c\/p\u003e\u003cp\u003e            The existence of certain of these mixed motives is     related\u003c\/p\u003e\u003cp\u003e            to zeroes of L-functions attached to certain pure motives.\u003c\/p\u003e\u003cp\u003e            This is the content of the Beilinson-Deligne conjectures\u003c\/p\u003e\u003cp\u003e            which are explained in  some detail in the first chapter of\u003c\/p\u003e\u003cp\u003e            the book.\u003c\/p\u003e\u003cp\u003e            The rest of the book is   devoted to the description of the\u003c\/p\u003e\u003cp\u003e            general principles of construction        (Chapter II) and the\u003c\/p\u003e\u003cp\u003e            discussion of several examples in Chapter II-IV. In    an\u003c\/p\u003e\u003cp\u003e            appendix we explain how the (topological) trace formula can\u003c\/p\u003e\u003cp\u003e            be used  to get some understanding of the problems discussed\u003c\/p\u003e\u003cp\u003e            in the book.\u003c\/p\u003e\u003cp\u003e            Only   some of this material is really proved: the book also\u003c\/p\u003e\u003cp\u003e            contains speculative  considerations, which give some hints\u003c\/p\u003e\u003cp\u003e            as to how the problems could be       tackled. Hence the book\u003c\/p\u003e\u003cp\u003e            should be viewed as the outline of a programme and  it offers\u003c\/p\u003e\u003cp\u003e            some interesting problems which are of importance and can         be\u003c\/p\u003e\u003cp\u003e            pursued by the reader.\u003c\/p\u003e\u003cp\u003e            In the widest sense the subject of the paper  is number\u003c\/p\u003e\u003cp\u003e            theory and belongs to what is called arithmetic                   algebraic\u003c\/p\u003e\u003cp\u003e            geometry. Thus the reader should be familiar with                 some\u003c\/p\u003e\u003cp\u003e            algebraic geometry, number theory, the theory of Liegroups\u003c\/p\u003e\u003cp\u003e            and     th\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540574088\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540574088","offer_id":39436738887773,"sku":"9783540574088","price":21.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7173a563-557d-4b91-a4e5-8758f30de69d.jpg?v=1772258655","url":"https:\/\/shop.autorenwelt.de\/products\/eisensteinkohomologie-und-die-konstruktion-gemischter-motive-von-gunter-harder","provider":"Autorenwelt Shop","version":"1.0","type":"link"}