Tuesday, May 29, 2018
3:00 PM -
4:00 PM
Building 15, Room 131
Logic Seminar
Series: Logic Seminar Series
Nonstandard natural numbers in Ramsey Theory
In Ramsey Theory, ultrafilters often play an instrumental role. By using nonstandard models of the integers, one can replace those third-order objects (ultrafilters are families of subsets) by simple points. In this talk we present a nonstandard technique that is grounded on the above observation, and show its use in proving some new results in Ramsey Theory of Diophantine equations.
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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].