## Logic Seminar

Dave Marker

UIC

Exponential Pregeometries and the Logical Complexity of Schanuel's Conjecture

**Abstract:**In it's natural formulation Schanuel's Conjecture is a $\Pi^1_1$-sentence. We show there is an equivalent $\Pi^0_3$-sentence. The key to the proof is work on J. Kirby on natural pregeometries in exponential fields. Most of the talk will be devoted to explaining Kirby's work.

Tuesday April 25, 2017 at 4:00 PM in SEO 427