Martina Lanini,
Università Roma Tor Vergata
Wall and chamber
structure for finite dimensional algebras and perverse
sheaves.
In this talk I will report on joint
work with Alessio Cipriani. The wall and chamber structure of an
algebra is a certain polyhedral complex which is in general rich
in combinatorics and applications, being, for example, related
to tau-tilting theory. Motivated by the desired of understanding
the space of Bridgeland stability conditions for the bounded
derived category of constructible sheaves on flag varieties, we
focus on the case of projective spaces and connect the problem
to the study of the wall and chamber structure of a certain
finite dimensional algebra.