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Geometry and Model Theory

Time: Friday, May 06, 2011, 14h - 15h30

Location: ENS, salle W

Topology of definable groups in tame structures

Alessandro Berarducci (Pise)

I will survey some results on definable groups in o-minimal structures, some old, some new, emphasizing the interplay between algebra, logic, and topology. In particular I will show how a combination of techniques from model theory and algebraic topology lead to the determination of the definable homeomorphism type of definable abelian groups in dimension not equal to 4 (joint work with E. Baro). If time permits, I will consider the problem of finding a tame definable context, larger than o-minimality, which is suitable for the study of universal covers (work in progress with M. Mamino).

 

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