Seminar Event Detail

Student Commutative Algebra

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

Event Organizer:     


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