Title: Hilbert scheme of twisted cubics as simple wall-crossings Speaker: Dr. Bingyu Xia (MCM) Time: 2018-11-1, 15:30-16:30 Place: 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. Attachment: