Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Bingyu Xia, MCM
Inviter:
Title:
Hilbert scheme of twisted cubics as simple wall-crossings
Time & Venue:
2018.11.1 15:30-16:30 N817
Abstract:
Hilbert scheme is introduced by Grothendieck and it played an important role in algebraic geometry. Hilbert scheme of twisted cubics in the projective space P^3 is one of the easiest but nontrivial Hilbert scheme, its geometric structure was first described by Piene and Schlessinger in 1985. In this talk, I will introduce Bridgeland stability conditions on the derived category of the projective space P^3, and use wall-crossing phenomena of stability conditions to reprove Piene and Schlessinger's result.