Date:	Mon, May 2, 2016
Time:	14:00
Place:	Seminar Room (120), Research I

Abstract: Flag domains are open orbits of real semisimple Lie groups in ag manifolds of their complexifications. A special class of ag domains constitute the clas- sifying spaces for variations of Hodge structure, namely period domains or more generally Mumford-Tate domains. In this talk I will consider the problem of classifying all equivariant embeddings of an arbitrary ag domain in a period domain satisfying a certain transversality condition. Satake studied this problem in the weight 1 case in connection to the study of (algebraic) families of abelian varieties where the transversality condition is trivial. In this talk I will describe certain combinatorial structures at the Lie algebra level, called Hodge triples, which are generalisation of \(\mathfrak{sl}(2)\)-triples and show how this structures provide a solution to the classification problem.