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Special Riemannian Metrics and Curvature Functionals

Constant scalar curvature Kähler metrics and Galois covers

speaker: Claudio Arezzo (ICTP, Trieste)

abstract: I will present recent joint work with A. Della Vedova and Y. Shi concerning the persistence of csck metrics under (Galois) covers. We will show how the recent breakthrough by Cheng-Chen can be used to control the properness of the K-energy under covers, hence producing many new families of csck manifolds. Previous results by A-Ghigi-Pirola, Li-Sun and Cheng-Chen will be also discussed, and how the general theory of existence of Galois covers in the cyclic (classical), abelian (by Pardini) and non-abelian (by Catanese-Perroni and others) case can be applied.

timetable:
Fri 10 Jun, 11:00 - 12:00, Aula Dini
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