Teichmüller space is a fundamental space that is important in many areas of mathematics and physics. In recent times generalizations of this space have been intensely studied. Examples of such higher Teichmüller spaces are given by the so-called super-Teichmüller spaces, with structural groups given by supergroups. These appear as a natural object when studying a combinatorial approach to spin structures on Riemann surfaces and the generalization to supermanifolds. In this talk, we give a substantial simplification of the formulation of the spin structures and describe the N=1 and N=2 super-Teichmüller space using the analogue of Penner coordinates. (Joint work with Robert Penner and Anton Zeitlin.)

葉智皓，香港科技大学助理教授。2012年-2015年在日本东京大学宇宙物理与数学研究所担任项目研究员，2015年-2018年在日本京都大学担任助理教授。他成长于香港，是2002年国际数学奥林匹克竞赛（IMO）奖牌得主，毕业于香港科技大学获数学与物理学士学位，并在美国耶鲁大学获得博士学位，导师为Igor Frenkel。