A new infinite family of isolated symplectic singularities 

报告人：付保华（中科院数学院）

时间：2022年6月2日  15：00

地点：国家天元数学西南中心516

          腾讯会议：882-7334-4303

摘要：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 C4by the dihedral group of order 2d, (2) as singular points of Calogero-Moser spaces associated with dihedral groups of order 2dat equal parameters, (3) as singularities of a certain Slodowy slice in the d-fold cover of the nilpotent cone in sl_d. 

This is a joint work with G. Bellamy, C. Bonnaf\'e, D. Juteau, P.  Levy, E. Sommers