Berufungsvortrag Algebr.G./Diffg./Prof. Neretin

Dekanat für Mathematik dekanat.mathematik at univie.ac.at
Mon Oct 10 09:33:28 CEST 2005


Mathematisches Kolloquium

EINLADUNG zu einem Vortrag

im Rahmen der Ausschreibung der Professur für "Algebraische
Geometrie/Differentialgeometrie"

von Prof. Dr. Yurii Neretin (Institut für Mathematik, Universität Wien)

"Complexification  of group of diffeomorphisms of the circle and conformal
field theories"

Abstract:
Denote by $\mathrm{Diff}$ the group of orientation preserving
diffeomorphisms of the circle. This group admits a complexification which is
not group but a semigroup
$\Gamma$.
An element of $\Gamma$ is a product
$$g\cdot\exp\Bigl\{\bigl(a(\phi)+i b(\phi)\bigr)\frac\partial{\partial
\phi}\Bigr\}$$
where $g\in \mathrm{Diff}$ and $b(\phi)>0$.
The semigroup $\Gamma$ (it was constructed by speaker (1986) and
independenely by Gr.Segal (1988)) admits an
embedding to a wider algebraic structure $\mathrm{Shtan}$ that is a category
whose morphisms are Riemannian
surfaces.
According G.Segal, conformal field theories are certain functors on the
category $\mathrm{Shtan}$.

In lecture, it will be done construction of $\Gamma$, $\mathrm{Shtan}$ and
sketch of constructions of conformal field
theories.


Termin: Mittwoch, 12. Oktober 2005
Zeit und Ort: 16.00 Uhr, im Seminarraum C 209, Nordbergstrasse 15, 1090 Wien


o. Prof. Dr. Klaus Schmidt
(Vorsitzender der Berufungskommission)








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