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Skew Schubert varieties are special kind of open Richardson varieties, first defined by Serhiyenko- Sherman-Bennett-Williams. In this talk, I will talk about the splicing map for skew Schubert varieties. It is a dimension preserving map between the certain open set of a skew Schubert varieties and the product of two skew Schubert varieties, which is also compatible with cluster structures of both sides. We generalize the previous work of Gorsky-Scroggin, where they introduced the splicing map on the case of top dimensional positroid varieties. This is a joint work with Eugene Gorsky, Tonie Scroggin and Jos\'e Simental.

Free pizzas as usual:)