Zoom-Meeting: https://wwu.zoom.us/j/97461739978 Abstract: The complex quadric Q^n is a complex hypersurface of complex (n+1)-dimensional projective space. This manifold inherits a Kähler structure from the complex projective space, carries a family of non-integrable almost product structures and its curvature can be relatively easily described in terms of these two, making it a Kähler-Einstein space. Moreover, Q^n is the natural target space when considering the Gauss map of a hypersurface of a round sphere. We will discuss this relation - in particular for isoparametric hypersurfaces of spheres - and then study minimal Lagrangian submanifolds of Q^n, obtaining examples and some classifications, such as that of minimal Lagrangian submanifolds of Q^n with constant sectional curvature. If time permits, we will see how these results can be translated to the hyperbolic complex quadric Q*^n.