Tuesday, March 18 from 2 to 3pm
Room: Mathematics 136
Speaker: Dillon Wardwell (BSU)
Title: Zariski Selection Principles
Abstract: Let R be a commutative ring with unity, and Spec(R) denote the collection of prime ideals of R, also called the prime spectrum of R. The prime spectrum becomes a topological space when endowed with the Zariski topology. We explore what effect the algebraic properties of the underlying ring R have on which classical selection principles hold in the spectrum via winning strategies in related infinite games.