报告题目：Minimal surfaces, WZW and multiple zeta values

报告人：Prof. Sebastian G. Heller，北京雁栖湖应用数学研究院

报告时间：2025年1月6日（周一）15:00

报告地点：20-308

报告摘要：Minimal surfaces are critical points of the area functional. In my talk, I will explain how minimal surfaces in the 3-sphere can be described using monodromy data. For examples like the Lawson and Karcher-Pinkall-Sterling surfaces, these monodromy data lead to families of Fuchsian systems whose coefficients can be computed iteratively in terms of (alternating) multiple zeta values like ζ(3). I will explain how to extract geometric quantities like the area and the enclosed volume from the monodromy data by using the Chern-Simons line bundle on the mo**** space of flat connections. As an application of our approach, the areas of the Lawson surfaces ξ(1,g) are shown to be strictly monotonic in their genus g. This talked is based on joint work with S. Charlton, L. Heller and M. Traizet.

邀请人：王二小