Seminarium:
Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca:
Wend Werner (Universität Münster)
Data:
wtorek, 28. Marzec 2017 - 12:15
Sala:
WS
Opis:
Roughly a quarter of (Riemannian) symmetric spaces are
hermitian and of non-compact type. Each such manifold
carries an algebraic structure on its tangent bundle
which is similar to (more general than) the algebraic
structure of a C*-algebra.
We exploit this similarity in order to apply K-theoretical methods to the classification of these manifolds. Whereas this technique reproduces well-known results in finite dimensions, it is still viable for infinite dimensional manifolds and can here be used to e.g. give a K-theoretical classification of inductive limits of bounded symmetric domains.
We exploit this similarity in order to apply K-theoretical methods to the classification of these manifolds. Whereas this technique reproduces well-known results in finite dimensions, it is still viable for infinite dimensional manifolds and can here be used to e.g. give a K-theoretical classification of inductive limits of bounded symmetric domains.