CUNY Logic WorkshopFriday, March 7, 20142:00 pmGC 6417

# Generalized descriptive set theory with very large cardinals

## Scott Cramer

### Rutgers University

We will discuss the structure *L(V _{λ+1})* and attempts to generalize facts of descriptive set theory to this structure in the presence of very large cardinals. In particular we will introduce an axiom called Inverse Limit Reflection which we will argue is analogous to the Axiom of Determinacy in this context. The slides for this talk are available here.

Scott Cramer received his Ph.D. from the University of California-Berkeley in 2012, with a thesis on reflection of large cardinals, written under the supervision of Hugh Woodin. He is presently a Triennial Assistant Professor at Rutgers University, working in set theory, with specific interests in very large cardinals and determinacy axioms.

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on February 13th, 2014