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On extensions of mixed motives. (English) Zbl 0890.14001
The author gives an excellent introduction to mixed motives. The examples he discusses are constructed from cycles and elements in algebraic $$K$$-groups (§2), CM elliptic curves (§4), modular forms (§5), and certain Laurent polynomials in several variables (§6). The last example may be of interest for mathematicians working on dynamical systems: a particular Deligne period of a certain mixed motive has an interpretation as the entropy of a certain expansive $$\mathbb{Z}^n$$-action on a compact topological group.

##### MSC:
 14A20 Generalizations (algebraic spaces, stacks) 19E08 $$K$$-theory of schemes 11G09 Drinfel’d modules; higher-dimensional motives, etc.
##### Keywords:
mixed motives; $$K$$-groups; elliptic curves; Deligne period; entropy
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