Title    name
2018 KAIST 세미나
 
  Title
  Speaker Manish Kumar
  Date 2018-06-01
  Host
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
 
Abstract : Formal orbifolds are normal varieties $X$ over perfect fields with a branch data $P$ which encodes compatible system of finite Galois extensions of function fields of formal neighbourhoods of points of $X$. I will introduce these objects and demonstrate how these objects can be used to study (wild) ramification theory in an organised way. In particular I will define etale site, fundamental group, etc. of formal orbifolds. I will discuss a reasonable formulation of Lefschetz theorem for fundamental group of quasi-projective varieties over fields of positive characteristic in the language of formal orbifolds. Time permitting some partial results in this direction will also be stated.