Tight maps and holomorphicity

TL;DR

This paper classifies tight maps into classical Hermitian symmetric spaces and provides partial results for exceptional spaces, advancing understanding of maximal representations in complex geometry.

Contribution

It offers a classification of tight maps into classical Hermitian symmetric spaces and extends partial results to exceptional spaces, deepening the theory of maximal representations.

Findings

Classification of tight maps into classical Hermitian symmetric spaces

Partial results for tight maps into exceptional spaces

Enhanced understanding of maximal representations in complex geometry

Abstract

Tight maps was introduced along tight homomorphisms by Burger, Iozzi and Wienhard with aims towards maximal representations. In this paper we classify tight maps into classical Hermitian symmetric spaces and give a partial result for the exceptional spaces.