Torelli Locus and Rigidity

被引：0
|
作者：
Yeung, Sai-Kee [1 ]
机构：
[1] Purdue Univ, Math Dept, W Lafayette, IN 47907 USA
来源：
MICHIGAN MATHEMATICAL JOURNAL | 2022年 / 72卷
基金：
美国国家科学基金会;
关键词：
HARMONIC MAPS; SUPERRIGIDITY; LATTICES; SPACES;
D O I：
10.1307/mmj/20217207
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The first is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on the rigidity of representation of a lattice of a semisimple Lie group in a mapping class group.
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页码：643 / 654
页数：12
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