The universal elliptic KZB connection has a twisted (or cyclotomic) counterpart. This is a at
connection de ned on a G-principal bundle over the moduli space of elliptic curves with n marked
points and a (M; N)-level structure. Here the Lie algebra associated to G is constructed from a
twisted elliptic Kohno-Drinfeld Lie algebra, the Lie algebra sl2, and a twisted derivation algebra
controlling the algebraic information of some modular forms. After presenting this connection I
will retrieve an ellipsitomic (or twisted elliptic) KZB associator from its monodromy and elliptic
multiple-zeta values at torsion points from the coe cients of this associator. Some parts of the
results come from a joint work with Damien Calaque.
Title
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/5312