+91-674-249-4082
There is a deep interplay between geometry and holomorphic function theory on domains in $\mathbb{C}^n$, $n>1$, which is quite unlike the situation in $\mathbb{C}$. This leads to striking new phenomena in higher dimensions that are absent in the one dimensional setting. We will begin by exploring classical results of this nature - Hartogs extension phenomenon and biholomorphic inequivalence of the ball and polydisc. We will then proceed to discuss more recent results concerning the tangential Lipschitz gain of holomorphic functions and a smoothing property of the Bergman projection.
School of Mathematical Sciences
NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050
Tel: +91-674-249-4081