Pure Math colloquium

Janusz Adamus University of Western Ontario

“Towards singular CR geometry - tameness of complex dimensions in semianalytic sets.”

Given a subset R of a complex manifold, one can ask how much of the complex structure is inherited (locally) by R? This can be measured in many different ways. We will consider two such measures - the inner and outer complex dimensions of R at a point - and discuss how they relate to the classical CR geometry. We will also show that for large classes of sets these dimensions behave in a controlled way (Grothendieck’s ”tameness”), which allows one to develop CR geometry in the non-smooth setting.

Refreshments will be served in MC 5046 at 3:30 p.m. Everyone is welcome to attend.