İstanbul Analysis Seminars
Polynomials on $S^*$ -parabolic manifolds
Aydın Aytuna
Sabancı University, Turkey
Özet :
A complex manifold $M$ is said to be $S^*$-parabolic if it possesses a continuous
plurisubharmonic function $\Phi$ that is maximal outside a compact subset of $M$. In analogy with
$(\mathbb{C}^n, log \|z\|)$, one defines ($\Phi$)-polynomials as analytic functions $f$ on $M$ with the property
that there exist positive integers $d$ and $c$ such that $|f(z)|\leq d\Phi + c$ for all $z\in M$.
In the first part of the talk, we will review different notions of parabolicity for complex
manifolds and look at them from a functional analysis point of view. In the second part of
the talk, we will discuss polynomials on $S^*$-parabolic manifolds. Most of what I will report
in this talk is joint work with A. Sadullaev.
|
Tarih |
: |
18.12.2015 |
|
Saat |
: |
15:40 |
|
Yer |
: |
Sabancı University, Karaköy Communication Center, Bankalar Caddesi 2, Karaköy |
|
Dil |
: |
English |