Suggested topics and main references
- Irregular singularities, Stokes' phenomenon.
Boalch, P.P. - Stokes's phenomenon, Poisson Lie groups
and Frobenius manifolds. Invent. Math. 146 (2001).
- Trigonometric connections.
V. Toledano Laredo - Trigonometric Casimir connection, J. Algebra. (2011).
- Trigonometric KZ equations
P. Etingof, A. Kirillov, I. Frenkel - Lectures on representation
theory and KZ equations.
- Brieskorn's theorem
E. Brieskorn - Die Fundamentalgruppe des raumes... Invent. Math. (1971).
P. Deligne - Les immeubles des groupes de tresses. Invent. Math. (1972).
- Wonderful compactifications.
C. De Concini and C. Procesi - Wonderful models of subspace arrangements.
Selecta Math. (1995).
- Weyl-Kac character formula.
V. Kac - Infinite dimensional Lie algebras.
- KZ associator and multi-zeta values.
B. Enriquez and F. Gavarini - A formula for the logarithm
of the KZ associator (2006).
- Trivialization of KZ associator.
V. Toledano Laredo - QuasiCoxeter, quasitriangular quasibialgebas
and Casimir connection (2016).
Download some notes on the derivation
of trigonometric KZ equations, and their difference analog.