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Topic Archive: ultraproducts

Set theory seminarFriday, November 1, 201310:00 amGC 6417

Karel Hrbacek

Some problems motivated by nonstandard set theory

City College of New York, CUNY

Nonstandard set theory enriches the usual set theory by a unary “standardness” predicate. ┬áInvestigations of its foundations raise a number of questions that can be formulated in ZFC or GB and appear open. ┬áI will discuss several such problems concerning elementary embeddings, ultraproducts, ultrafilters and large cardinals.

University of Toronto
Alex Rennet is a postdoc in the Mathematics department at the University of Toronto working under the supervision of Bill Weiss. His research focus right now is in o-minimality and in particular, ultraproducts of o-minimal structures. He received his Ph.D. in 2012 at the University of California at Berkeley, under the supervision of Thomas Scanlon.