The geometric Satake correspondence has played a central role in the geometric Langlands program. It is indispensable for the construction of global Langlands correspondences over globa function fields (by Vincent Lafforgue) and for the geometrization of the local Langlands correspondence over local fields (by Laurent Fargues and Peter Scholze). It is a categorical lifting of the classical Sata...
Please download the file for more informatio