HOẠT ĐỘNG TRONG TUẦN

Deforming cyclic covers in towers
Speaker: Đặng Quốc Huy

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.


Trở lại