Speaker
Mark Gross
Description
Broken lines, in conjunction with scattering diagrams, have been a very powerful tool for constructing regular functions on schemes obtained by gluing standard charts using the data of scattering diagrams. One could hope that broken lines could also be used to build other geometric objects on the glued schemes, e.g., vector fields. At first glance, this seems to give very poorly behaved objects. However, new insights have shown that this seemingly poor behaviour in fact uncovers some very intricate enumerative structures. This is joint work with D. Pomerleano and B. Siebert.