Speaker: Richard Ketchersid Title: Determinacy and large cardinals from ideals. Work address: UCLA Electronic mail: ketchers@math.ucla.edu Abstract: Ideals on small cardinals are known to exist in forcing extensions where some large cardinal is collapsed. Conversely, the ideals themselves imply the existence of inner models for various large cardinals. Unfortunately the gap between the large cardinals required to get the ideals and the large cardinals that the ideals give rise to is enormous. I will discuss some techniques in closing this gap just a tiny bit.