Notices of the International Consortium of Chinese Mathematicians

Volume 6 (2018)

Number 2

From the Borel–Serre compactification to curve complex of surfaces

Pages: 32 – 41



Lizhen Ji (Department of Mathematics, University of Michigan, Ann Arbor, Mi., U.S.A.)


In this paper, we describe the interaction and similarity between locally symmetric spaces and moduli spaces of Riemann surfaces, through the example of how the Borel–Serre compactification of locally symmetric spaces led to the curve complex of surfaces, which is a fundamental object in low dimensional topology and geometric group theory.

Published 16 May 2019