Thu, 12 Mar 2026
11:00
11:00
C1
Some remarks on definable complex analysis
Alex Wilkie
(Oxford University)
Abstract
Peterzil and Starchenko began this by developing the basics of complex
analysis (Cauchy’s theorem, Taylor series, residues…) within an arbitrary
o-minimal expansion of a real closed field. I look at more advanced topics
from such a definable viewpoint (eg the Riemann Mapping Theorem) although to
make any progress I have to restrict myself to (o-minimal) expansions of the
real field itself. I am, of course, motivated by Zilber’s quasiminimality
conjecture.