Seminar: Takayuki Koike
At the meeting of our AG on May 19, at 16:15 in room D.13.15, Takayuki Koike will give a talk on
"Ueda-type estimates for flat nontrivial line bundles on compact complex manifolds"
Abstract: In this talk our interest is in the $L^2$-estimates of d-bar equations on a holomorphic line bundle $L$ over a complex manifold $X$. When $X$ is Stein or $L$ is positive, Hörmander type estimates based on Nakano identity give nice estimates of them. However, when $X$ is compact and $L$ is flat, it is difficult to expect to obtain meaningful results from similar techniques. Focusing on this case, we will make a brief explanation on Ueda-type estimates for flat nontrivial line bundles on compact complex manifolds, and discuss some related problems.
