Algebraic K-theory and Special Values of L-functions: Beilinson’s Conjectures. (talk Notes)
نویسنده
چکیده
1. Classical motivation 2 1.1. Some classical identities 2 1.2. Riemann’s zeta function 2 1.3. Dedekind zeta functions 3 1.4. Higher regulators 4 2. Motivic L-functions 4 2.1. Realizations of motives 4 2.2. L-functions 6 3. Beilinson’s conjectures on special values of L-functions 7 3.1. Elementary reduction 7 3.2. The regulator map 8 3.3. The conjectures 8 3.4. Known cases 9 4. Motivic cohomology and absolute cohomologies 10 4.1. Two philosophies 10 4.2. Realizations: absolute cohomology theories 11 4.3. The absolute Hodge cohomology 12 4.4. Digression: Motivic cohomology partially achieved 14 5. Construction of the regulator map 14 References 17
منابع مشابه
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تاریخ انتشار 2015