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Logic Seminar

Tuesday, May 29, 2018
3:00pm to 4:00pm
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Building 15, Room 131
Nonstandard natural numbers in Ramsey Theory
Mauro Di Nasso, Dipartimento di Matematica, Università di Pisa,
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.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].