Event № 1439

Abstract (s) : A homomorphism between Hermitian Lie groups is said to be tight if the norm of the bounded Kaehler class is preserved under the pullback.
Parallell to tight homomorphisms is the notion of tight totally geodesic maps between the corresponding symmetric spaces.
Tightness plays an important role in the study of maximal (with 
respect to the Toledo invariant) representations of surface groups in Hermitian 
Lie groups.
In the first seminar I will give the basic definitions and introduce some of the tools used for studying tight maps/homomorphisms.
In the second seminar I will present my work classifying tight maps. Parts of this work is joint with T. Okuda and M. B. Pozzetti.