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Speaker:

Martin Gonzalez Jaimes
Affiliation:

Université Pierre et Marie Curie/MPIM
Date:

Tue, 2019-01-15 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics 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.

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