Mathematics Colloquium
Speaker: Amalendu Krishna (Department of Mathematics, UCSB)
Host: Preeti Raman
Title: Some remarks on Kato's ramification theory and applications
Time, day and date: 4:00:00 PM - 5:00:00 PM, Friday, July 18
Venue: Ramanujan Hall
Abstract: Kazuya Kato developed a theory of ramification for henselian discrete valuation fields with arbitrary residue fields which extended the classical ramification theory with perfect residue fields. Kato's definition of his ramification filtration is in general complicated and is often difficult to work with. In a joint work with Subhadip Mazumder, I recently provided a new description of this filtration using sheaf theory. This description has several applications. In this talk, I shall explain this description and show some applications to Brauer groups.