# Cardinal invariants of analytic P-ideals

## Dilip Raghavan

### National University of Singapore

I will introduce several cardinal invariants associated with analytic P-ideals, concentrating on the ideal of sets of asymptotic density zero. I will give a summary of some recent work on these invariants relating them to the dominating, bounding and splitting numbers, and to some variants of the splitting number. Several fundamental problems remain open and I will try to discuss as many of these as I can.

Dilip Raghavan is an assistant professor at the National University of Singapore. He received his doctorate from the University of Wisconsin−Madison under the supervision of Kenneth Kunen in 2008 and has held postdoctoral positions at the University of Toronto and Kobe University. His research interests lie in Mathematical Logic, Set Theory, and General Topology.