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Seminar talk by R. Sivaguru

Wednesday, February 22, 2017 - 14:30 to 15:30
Seminar Room, Mathematics Department
Dr. R. Sivaguru
TIFR, Mumbai
Geometry and Function Theory in Several Complex Variables

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.

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