Series: Logic Seminar Speaker: Stephen G. Simpson (Penn State) Title: Omega-models of weak K"onig's lemma Date: Tuesday, April 21, 1998 Time: 2:30 PM Place: 113 McAllister Building Abstract: Weak K"onig's lemma is one of a small number of set existence axioms which arise in reverse mathematics. Omega-models of weak K"onig's lemma arise in several areas of mathematical logic including recursion theory (so-called PA-degrees) and models of arithmetic (Scott systems). This talk is an introductory survey of results and problems related to omega-models of weak K"onig's lemma.