题目:Dimer models and Beltrami Equation
报告人:钟晓 教授 (中山大学)
地点:致远楼101室
时间:2025年10月17日 8:30-9:30
摘要: Scaling limits of random tilings present surprising geometric features under suitable boundary conditions and produce deterministic and disordered (also called frozen and liquid) limit configurations with interesting geometric properties. This talk will show how by methods from PDEs, in particular, the Beltrami equation, one can understand the delicate geometry of the boundary between the frozen and liquid phases. It turns out, for instance, that the geometry of the limit shapes within all dimer models is universal, i.e. independent of the specific model.
The talk is based on joint work with K. Astala, E. Duse and I. Prause.
All are welcome!