题目: Complex Earthquakes and the Deligne-Mumford compactification of the moduli space

报告人：胡光明，南京邮电大学

地点：五教204

时间：2024年4月16日（周二），14：00

摘要: It is known that the Deligne-Mumford compactification $\overline{\mathcal{M}}^{DM}_{g,n}$ of the moduli space $\mathcal{M}_{g,n}$ is a projective algebraic variety. In this paper, we construct a new space $\overline{\mathcal{M}}^{ce}_{g,n}$, homeomorphic to $\overline{\mathcal{M}}^{DM}_{g,n}$, by the projections of complex earthquakes for one weighted simple closed curve in $\mathcal{M}_{g,n}$. Moreover, we give a formula of limit distance between complex earthquake and Teichm\uller disk in moduli space.