6-4【Huaiqing Zuo】Nakai Conjecture for Isolated Hypersurface Singularities

Time:2025-05-13Views:10

Speaker: Huaiqing Zuo (Tsinghua University)

Time: 10:00-11:00, Jun 4, 2025

Room: Tencent Meeting: 829 939 961, no password


    

The Nakai Conjecture concerns a very natural question: can differential operators detect singularities on algebraic varieties? On a smooth complex variety, it is well known that the ring of differential operators is generated by derivations. Nakai asked whether the converse holds: if the ring of differential operators is generated by derivations, is the variety smooth? In this talk, we present our recent progress about the Nakai Conjecture.