##### Department of Mathematics,

University of California San Diego

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### RTG Colloquium in Algebra, Algebraic Geometry and Number Theory

## Elham Izadi

#### UCSD

## Hyperkahler manifolds and Lagrangian fibrations

##### Abstract:

Hyperkahler manifolds are one of the main classes of manifolds appearing in Berger’s classification of holonomy groups of Riemannian manifolds. It is known that for any non-constant map f from a hyperkahler manifold of dimension 2n, the generic fibers of f are either finite or abelian varieties of dimension n. The latter are Lagrangian fibrations. I will discuss some open problems and some results concerning Lagrangian fibrations on hyperkahler manifolds.

### March 12, 2024

### 5:00 PM

APM 6402

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