Algebra and Geometry Seminar

I will discuss a generalization of stable log maps developed with Abramovich, Chen and Siebert. Punctured log maps are a slight modification of ordinary stable log maps which allow for negative contact orders with divisors. This is crucial if one would like to develop a gluing formalism for stable log maps, as a splitting of a stable log map obtained by partially normalizing a domain curve is not a stable log map, but rather a punctured log map. I will sketch the definitions, and highlight some intriguing aspects of the theory.