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Almost Complex Structures of arbitrary rank on 6-nilmanifolds

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. 

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