Tuesday, January 25, 14:00

Fiorela Rossi Bertone (Universidad Nacional del Sur, Bahía Blanca),
The Ext-algebra for infinitesimal deformations.

Abstract:

Let f be a Hochschild 2-cocycle and A_{f}
an infinitesimal deformation of a
finite dimensional k-algebra A. We describe, under some conditions on f,
the algebra structure of the Ext-algebra of A_{f}
in terms of the Ext-algebra
of A. We achieve this description by getting an explicit construction of
minimal projective resolutions. This is based on ongoing joint work with
M-J. Redondo and L. Román.