Tree representations from very large cardinals
We will discuss the propagation of certain tree representations in the presence of very large cardinals. These tree representations give generic absoluteness results and have structural consequences in the area of generalized descriptive set theory. In fact these representations give us a method for producing models of strong determinacy axioms.
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.