|Date: Tuesday, October 26, 2021
Location: 2866 East Hall (3:00 PM to 4:00 PM)
Title: Introduction to Valuations
Abstract: A valuation is a function that assigns multiplicities or "sizes" to ring elements. I will begin by defining valuations and exploring algebraic properties of valuation rings. I will also try to give some historical context for valuations and emphasize connections to number theory and algebraic geometry. We will discuss the local-to-global principle, the valuative criterion, and semi-stable models, as time permits.
Speaker: Shelby Cox
Institution: University of Michigan, Ann Arbor