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Elliptic KZB equations via the universal vector extension

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KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

The (universal) elliptic KZB equations are certain differential equations over moduli spaces of elliptic curves satisfied by multiple elliptic polylogarithms. We shall describe an approach to such theory in terms of universal vector extensions of elliptic curves, which has the advantage of being algebraic from start to finish, and does not rely on explicit analytic formuli. As an application, we shall discuss some algebraicity results. This is joint work with Nils Matthes.

This talk is part of the Isaac Newton Institute Seminar Series series.

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