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Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces.

Geometry/Topology

Speaker: Nikon Kurnosov, University of Georgia
Related Webpage: https://www.math.uga.edu/directory/people/nikon-kurnosov
Location: 1147 MSB
Start time: Thu, May 16 2019, 1:30PM

I will talk about biholomorphic and bimeromorphic automorphisms of hyperkahler manifolds. Oguiso has conjectured that this groups are finitely generated and he proved this in non-projective case. Using an action of these groups on some non-positively curved space, we immediately deduce many of their properties in projective case, including finite representation. This is joint work with E. Yasinsky.