Mukai Grassmannians

This is a specialized course in Algebraic Geometry. In a long series of papers starting from the eighties, Shigeru Mukai provided several constructions of Fano threefolds, K3 surfaces and canonical curves in some special types of Grassmannians, which we will call Mukai Grassmannians. Apart from the elegance of the constructions itself, these models were used in the classification of prime Fano threefolds and the proof of the unirationality of the moduli spaces of curves in low genus. Moreover, they give explicit equations for canonical curves and K3 surfaces.

Through the course we will survey the known Mukai Grassmannians and their connection with classification problems in Algebraic Geometry, together with some applications.

Date and time info
12 lectures on Tuesdays 10:00 - 11:30 and Thursdays, 10:30 - 12:00 starting September 20