Speaker:Lisa Marquand
Date: 10:30 20/10/2023
Title:  Finite groups of symplectic birational transformations of manifolds of OG10 type

Abstract: Compact Hyperkähler manifolds are one of the building blocks of Kähler manifolds with trivial first 
chern class, but very few examples are known. One strategy for potentially finding new examples is to look at 
finite groups of symplectic automorphisms of the known examples, and study the fixed loci or quotient. 
In this talk, we will classify saturated finite groups of birational symplectic transformations of manifolds 
of OG10 type. In particular, there are 209 possible finite groups that occur, with 64 of those having unique
 action on cohomology. We provide a criteria for when such a group is obtained from a cubic fourfold via the 
 compactified intermediate Jacobian construction. If time permits, we will mention ongoing work to identify 
 the fixed loci in one of these examples. This talk is based on joint work with Stevell Muller.