报告人：Herrlich教授（Karlsruhe Institute of Technology）
An example of a wild translation surface （I）
时间：4月13日 下午 14：00-15：00
地点 :维格堂 319
An example of a wild translation surface （II）
时间：4月13日 下午 15：10-16：10
地点 :维格堂 319
An example of a wild translation surface （III）
时间：4月13日 下午 16：20-17：20
地点 :维格堂 319
摘要： In these three lectures, we discuss an example of a wild translation surface. Translation structures on compact (Riemann) surfaces lead to cone angle singularities. One of the first examples of a compact translation surface with a more complicated (i.e. “wild”) singularity was given by R. Chamanara in 2004 by an explicit and simple construction starting from a square and gluing smaller and smaller pieces of its boundary. The resulting surface has infinite genus, and its unique singularity is surprisingly complicated. The Veech group of this surface is a Fuchsian group of the second kind. Chamanra’s original proof that it is freely generated by two explicitly known transformations contained a gap, which we could recently close in a joint paper with A. Randecker.