Model theory seminarFriday, October 28, 201612:30 pmGC6417

# On Collapse of Generalized Indiscernibles.

## Vincent Guingona

### Towson University

I discuss the characterization of model theoretic dividing lines by collapse of generalized indiscernibles. For example, S. Shelah showed that a theory is stable if and only if all order indiscernibles are set indiscernibles. In her thesis, L. Scow showed that a theory has NIP if and only if all graph order indiscernibles are order indiscernibles. I explore new results characterizing dp-rank and rosiness using similar methods. I also talk about some attempts to create a general framework for such results. This work is joint with C. Hill and L. Scow.

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on September 30th, 2016