Seminar series
Date
Thu, 12 Mar 2026
11:00
11:00
Location
C1
Speaker
Alex Wilkie
Organisation
Oxford University
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.