Speaker:Baohua Fu(Chinese Academy of Sciences)
Time:2022-06-01, 09:00
Location:Tencent Meeting ID:135691065( Password:202206)
Abstract:
We construct a new infinite family of 4-dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three constructions are presented for this family: (1) as singularities in blowups of the quotient of C4 by the dihedral group of order 2d, (2) as singular points of Calogero-Moser spaces associated with dihedral groups of order 2d at equal parameters, (3) as singularities of a certain Slodowy slice in the d-fold cover of the nilpotent cone in sld.
This is a joint work with G. Bellamy, C. Bonnafé, D. Juteau, P. Levy, E. Sommers.