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Complex analysis and mathematical physics
October 20, 2015 16:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)
 


Ricci-flat metrics on toric non-compact Calabi-Yau manifolds

D. V. Bykov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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Abstract: The talk will be dedicated to the methods of constructing Khler Ricci-flat metrics on certain non-compact Calabi-Yau manifolds. We will be mainly dealing with the total space of the canonical bundle over the blow-up of $\mathbb C \mathbb P^2$ at one point. We will also discuss some applications of these metrics in theoretical physics (in the context of supersymmetric solutions of the equations of motion of supergravity theories).

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