Algebra/Topology Seminar

Speaker: Sergey Yakovenko

Title: Isoshtukas over \mathbb{Z}

Abstract: Drinfeld shtukas on curves over finite fields played a crucial role in the proof of the Langlands correspondence over global function fields. Although we do not know the definition of shtukas over Spec(\mathbb{Z}), there is a category analogous to the category of isoshtukas (i.e., generic fibers of shtukas). The construction of this category is based on the work of Kottwitz on B(F, G) and the idea of Scholze to consider the representations of Kottwitz gerbes over global fields.