**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”.**

**Abstract**

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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