Beilinson Conjecture for Finite-dimensional Associative Algebras

Ch. 6. P. 77–89.

Kaledin D.

We propose a non-commutative generalization of Beilinson's Conjecture on the regulator map from algebraic K-theory to Deligne cohomology of algebraic varieties over Q. We also check a baby case of the generalized conjecture, namely, the case of finite-dimensional associative algebras.

Keywords: Beilinson's Conjecture, Deligne cohomology, Гипотеза Бейлинсона

In book

The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV

Vol. 621. , American Mathematical Society, 2014.