## Benedikt Magnússon (22/09/14)

Benedikt Magnússon, september 17, 2014

Málstofa í stærðfræði

### Fyrirlesari: Benedikt Magnússon Titill: Carleman approximations

Staðsetning: V-157, VRII
Tími: Mánudagur 22. september, frá 15:00 til 16:00.

### Ágrip:

I will introduce Carleman’s remarkable extension of the Weierstrass approximation theorem. In its simplest form it states that if $$f$$ and $$\epsilon$$ are continuous functions on the real line $$\mathbb R \subset \mathbb C$$, and $$\epsilon > 0$$ then there exists an entire function $$F$$ such that |f(x)-F(x)| < \epsilon(x)[/latex], for all $x\in \mathbb R$. I will show what the obstructions are for doing this kind of approximations, and, most importantly, how all this generalizes to several complex variables.

## Dan Popovici (26/06/14)

Benedikt Magnússon, júní 25, 2014

Málstofa í stærðfræði

### Fyrirlesari: Dan Popovici, Institut de Mathématiques de Toulouse Titill: Positivity cones of the Aeppli chomologoy of compact complex manifolds

Staðsetning: V-155, VRII
Tími: Fimmtudaginn 26. júní, frá 15:00 til 16:00.

### Ágrip:

We define the Gauduchon cone of a compact complex $n$-dimensional manifold $X$ as the open convex cone consisting of Aeppli cohomology classes of powers $\omega^{n-1}$ of Gauduchon metrics $\omega$, while the sG (strongly Gauduchon) cone is defined as the intersection of the Gauduchon cone with a certain vector subspace. We will discuss the roles that these two cones play in describing fundamental geometric properties of $X$ as well as in the geometry of holomorphic deformations of the complex structure of $X$.

## Stephane Rigat (27/05/14)

Benedikt Magnússon, maí 22, 2014

Málstofa í stærðfræði

### Fyrirlesari: Stephane Rigat Titill: Fokas Method applied on Boundary Value Problems for axisymmetric potentials

Staðsetning: V-158, VR-II.
Tímasetning: Þriðjudagur 27. maí , 2014, klukkan 14:00.