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SUMMARY:Birational self-maps of hyperkähler manifolds of K3[n]-type
DTSTART:20221027T101500
DTEND:20221027T114500
DTSTAMP:20260924T153726Z
UID:98ec28ff9f6d5528ab8a1bb00dececdbaa18ecf72a8b04ed1a05b274
CATEGORIES:Conferences - Seminars
DESCRIPTION:Yajnaseni Dutta (University of Bonn)\nBirational self-maps tha
 t are not biregular are hard to find on hyperkähler manifolds. For instan
 ce\, there aren’t any on K3 surfaces. In this joint work with D. Mattei 
 and Y. Prieto we showed that a general projective Hyperkähler manifold th
 at is deformation equivalent to the Hilbert scheme of n-points on a K3 sur
 face (i.e.\, of K3[n]-type) cannot admit certain birational self-maps of f
 inite order. This prompted us to investigate birational self-maps moduli o
 f sheaves on K3 surfaces which are of K3[n]-type. Using Markman’s theory
  of hyperkähler lattices and Bayer–Macri’s study of Bridgeland stabil
 ity on K3 surfaces\, we impose explicit numerical constraints on the topol
 ogical invariants of the sheaves so that certain birational involutions ex
 ist on their moduli space.
LOCATION:GR A3 32 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
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