Valentino Tosatti (Columbia University) - Complex manifolds and spheres - February 27, 2012

<p>One of the main objects of my study are complex
manifolds. While their definition is natural and straightforward,
it is a challenging problem to determine which (real) manifolds
admit a complex structure. I will discuss this question,
focusing on the seemingly simple case of spheres (and products of spheres),
which will lead us to a very basic yet still open problem.</p>