Buonasera,
segnalo che giovedì 12 settembre alle 14.30 in aula seminari Federico
Alberto Rossi (Università di Perugia) terrà un seminario dal titolo
*Constructing Indefinite Einstein Solvmanifolds Beyond Nilsolitons*
di cui riporto l'abstract:
In the Riemannian setting, the theory of Einstein solvmanifolds is well
established and extensively understood. In this seminar, we will
initially review the Riemannian case, providing a foundation for our
subsequent exploration of the indefinite setting.
Then, we will switch to indefinite metrics, highlighting with examples
the differences with the Riemannian case. However, we will describe
analogous techniques for constructing pseudo-Riemannian Einstein
solvmanifolds using indefinite nilsolitons, emphasizing the role of
pseudo-Iwasawa decomposition and nice nilpotent Lie algebras.
Next, we will introduce two distinct methods for constructing Einstein
solvmanifolds, which are not based on nilsolitons and are unique to the
indefinite setting. The first approach involves contact symplectic
reduction, a technique characteristic of pseudo-Sasaki geometry. The
second, a more recent development, is based on solving the generalized
nilsoliton equation and presents a new methodological framework. Both
methods produce examples of Einstein solvmanifolds that are not
isometric to any of the pseudo-Iwasawa type.
Time permitting, we will also discuss the interplay between Einstein
solvmanifolds and related geometric structures, such as Sasaki,
pseudo-Kähler, and para-Kähler geometries.
This presentation is based on joint work with D. Conti and R. Segnan
Dalmasso.
Per chi fosse interessato ad andare a pranzo con lo speaker ci troveremo
alle 13 in atrio.
A presto,
Diego