Notices of the International Consortium of Chinese Mathematicians
Volume 6 (2018)
Small eigenvalues of surfaces: old and new
Pages: 9 – 24
We discuss our recent work on small eigenvalues of surfaces. As an introduction, we present and extend some of the by now classical work of Buser and Randol and explain novel ideas from articles of Sévennec, Otal, and Otal–Rosas which are of importance in our line of thought.
Laplace operator, small eigenvalue, analytic systole
2010 Mathematics Subject Classification
35P15, 53C99, 58J50
We would like to thank Bram Petri and Federica Fanoni for pointing out the results of  to us. We would also like to thank the referee for useful comments. We are grateful to the Max Planck Institute for Mathematics, the Hausdorff Center for Mathematics, and Indiana University at Bloomington for their support and hospitality.
Published 16 May 2019