Alma universitas studiorum parmensis A.D. 962 - Università di Parma
EUGreen - European University Alliance for sustainability

Event description

Abstract: An interesting open problem in complex geometry is to find Kähler metrics with prescribed curvature properties. A typical example of this problem is to find constant scalar curvature metrics on a Kähler manifold, which defines a fourth order elliptic PDE. A natural generalization of this problem is to study metrics with prescribed coefficients of the TYCZ-expansion of the epsilon-function.  The talk introduces the epsilon function and its asymptotic expansion for compact and noncompact manifolds, focusing on the geometric properties related to the vanishing of the third coefficient for Kähler-Einstein metrics.

Speakers

Simone Cristofori
Dottorando all'Università di Parma.

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