CUNY Graduate Center
Room 6495
Fridays 12:30pm-2:00pm
Organized by Alf Dolich
Calendar
March 1
12:30pm NY time
Room: 6495
Rehana Patel
Wesleyan University
Big Ramsey degrees in ultraproducts of finite structures
Abstract
I will present a transfer principle in structural Ramsey theory from finite structures to ultraproducts. In joint work with Bartosova, Dzamonja and Scow, we show that under certain mild conditions and assuming CH, when a class of finite structures has finite small Ramsey degrees, the ultraproduct has finite big Ramsey degrees for internal colorings. All Ramsey-theoretic definitions will be provided, and if time permits, I will give a sketch of the proof.
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