Speaker:
Song-Ying Li
Institution:
UCI
Time:
Friday, October 18, 2024 - 4:00pm to 4:50pm
Location:
MSTB 124
In this talk, I will present some development of the corona problem
of serval complex variables and discuss its relation to the solution of the
Cauchy-Riemann equations. It contains the Carleson and Wol 's solution of
Carleson's corona theorem for one complex variable, a short survey on the
solutions of Cauchy-Riemann equations. Which includes the Hormander's
weighted L2-estimates, sup-norm estimates for the `del-bar-operator', the Berndtsson's conjecture
and its connection to the corona problem in several complex variables.