WEEKLY ACTIVITIES

Time: 9:30 - 11:00, December 16, 2020

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: In this talk, we introduce a new result that says cyclic covers of curves can always be deformed "in towers." This is a generalization of our previous talk, which only deals with Artin-Schreier covers (Z/p-covers in characteristic p). To do so, we will examine further Artin-Schreier-Witt theory, Kato's refined Swan conductor, and the degeneration of local Galois extensions. Finally, we will discuss how the result links with the lifting problem of covers and other applications.