Back-to-School seminar: Galois groups, fundamental groups, and the étale fundamental group

Mal Dolorfino
-
PDL C-401

 The fundamental correspondence for Galois extensions in algebra and Galois covers in topology are nearly identical, and the similarities between these two theories run deep. In this talk, we explore the deeper connections between Galois extensions and Galois covers, and we use this to motivate the definition of the étale fundamental group for algebraic curves.