Speaker: Debraj Chakrabarti
University of Central Michigan
Will give a Colloquium entitled:
Convexity conditions and function theory
Abstract: Abstract: Global geometric properties of a space determine what kinds of functions live on it. Complex convexity properties such as pseudoconvexity play a crucial role in the construction and properties of holomorphic functions and other analytic objects, especially in several variables. After introducing classical complex convexity conditions, we discuss partial convexity conditions, which lead to the vanishing of Dolbeault cohomology in specified degrees. At the end, we will introduce some new geometric conditions that allow us to prove the vanishing of Dolbeault cohomology in domains in complex manifolds. This is ongoing joint work with Phil Harrington and Andy Raich of the University of Arkansas.
Zoom URL: https://notredame.zoom.us/j/99986867672?pwd=Z2NJRlZwL0dTR0Nxbk50NElHK0dNdz09