Abstract：The classical (multiple) polylogarithm functions play, through their special values, a prominent role in a number of arithmetic questions related to periods and motives. Crucially, these functions satisfy an algebraic differential equation, the KZ equation, from which many of their properties are derived. In particular, they can be written as iterated integrals of certain algebraic di...
AbstractWe propose to revisit the problem of guantisation and look at it from an entirely new analefocusing on the guantisation of dynamical systems themselves, rather than of their Poissonstructures. We begin with a dynamical system defined on a free associative algebra fA generatedby non-commutative dynamical variables al, ac2,..., and reduce the problem of guantisation to theproblem of study...
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