Research Group:
Speaker:
Lorenzo Sillari
Institution:
SISSA
Schedule:
Monday, January 31, 2022 - 11:00 to 13:00
Location:
A-136
Abstract:
In this talk we discuss the space of almost complex structure on 6-dimensional nilmanifolds. We illustrate how deformations can be used to build almost complex structures of prescribed (constant) rank on such manifolds, starting from a complex structure. In some favorable case, the method can also be used to invert the process and build complex structures starting from a non-integrable one. As a consequence, we obtain existence results for 6-nilmanifolds and complex 3-solvmanifolds.