Past Talks:Large-scale geometry of the saddle connection graph - Robert TANG, Xi'an Jiaotong-Liverpool University (2022-05-24)For a translation surface, the associated saddle connection graph has saddle connections as vertices, and edges connecting pairs of non-crossing saddle connections. This can be viewed as an induced subgraph of the arc graph of the surface. In this talk, I will discuss bo...
AbstractMany manifolds of interest are equipped with a geometrical structure specified by a distinguished closed form. We will motivate the usefulness of considering pairs of differential forms that are linked together by a map of the distinguished form. We will show how this lead to new notions of Morse theory and flat connections, and also novel Yang-Mills type functionals. This talk is based...