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“Compact Hyper-Kahler Manifolds in Algebraic Geometry”

Special Seminar

Come join us Wednesday January 24, 2018 at 12 pm in RM 507, Professor Giulia Sacca (MIT) will be giving a special lecture about “Compact Hyper-Kahler Manifolds in Algebraic Geometry”.


Hyper-Kahler (HK) manifolds appear in many fields of mathematics,
such as differential geometry, mathematical physics, representation theory, and
algebraic geometry.  Within algebraic geometry, compact HK manifolds appear
among the building blocks for algebraic varieties with trivial first Chern
class and as moduli spaces of vector bundles on K3 surfaces. The
distinguishing feature of compact HKs, whose role in algebraic geometry has
grown immensely over the last 20 years, is that they carry a holomorphic
symplectic form. This makes them the natural higher-dimensional analogues
of K3 surfaces.  In this talk I will give an overview of some of my work in
this field, including joint projects with some of the following collaborators:
E. Arbarello, J. Kollar, R. Laza, and C. Voisin.

Mathematics Hall, Room 507 at 12 pm




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