AVVISO IMPORTANTE
Si segnala che, per motivi organizzativi non previsti, il COLLOQUIO DE GIORGI annunciato per martedi' 11 luglio (del quale si acclude l'avviso)
SI TERRA' ECCEZIONALMENTE IN AULA BIANCHI.
COLLOQUIO DE GIORGI
Simon Gindikin Rutgers University
"Harmonic analysis on complex semisimple groups and symmetric spaces from point of view of complex analysis"
Abstract
In the classical conception of harmonic analysis on semisimple groups of E. Cartan and H. Weyl there was very essential interaction between algebraic and transcendental (analytic) methods. It looks that one more possibility - to start from the complex analysis on groups - was never systematically considered. Since all complex semisimple groups are Stein manifolds and all spherical functions are holomorphic, this way deserves an attention.
If to choose this way then we will start not from characters or irreducible representations but from Cauchy integral formula on these groups. It turns out that there is a beautiful explicit Cauchy formula on all semisimple Lie groups and, more general, on all symmetric Stein manifolds and this formula will be the basic subject of this talk. This formula, similarly to the situation in one-dimensional complex analysis, is a base of complex analysis on these symmetric spaces, which incorporates the classical harmonic analysis and adds some new facts.
Martedì 11 luglio 2006 ore 17.00
Aula Bianchi
Piazza dei Cavalieri, 7 PISA
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