Structures Definable in O-Minimal Models

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9970551Starchenko S. Starchenko will continue his research in the field ofmodel theory. He intends to study structures definable ino-minimal models, and he will also attempt to extend some recentresults about Pfaffian functions to o-minimal expansions of realclosed fields. One of the main goals of this research is developing a theoryof analytic functions over arbitrary algebraically closed fields(fields in which all polynomial equations in one variable havesolutions) analogous to the theory of complex analytic functions.S. Starchenko strongly believes that many classical theorems ofcomplex analysis can also be proved in the category of ``tameanalytic'' functions over such fields. Understanding which theoremsare available in this general context and which are not would shedlight on the classical theory itself; the new perspective would bemade to provide more insight into a highly developed and venerableclassical theory.***