电竞菠菜外围app

科学研究
报告题目:

Chern character, semiregularity map and obstructions

报告人:

杨森 副教授(东南大学)

报告时间:

报告地点:

腾讯会议ID:173 762 130

报告摘要:

The semiregularity conjecture predicts that the semiregularity map, defined by Severi, Kodaira-Spencer and Bloch, annihilates every obstructions to embedded deformations of subvarieties. This conjecture had been partially proved by Bloch and more efforts toward it had been done by Ran, Buchweitz-Flenner, Manetti, Pridham and others. Recently, with an additional assumption, Iacono-Manetti proved this conjecture. Their method is to use DGLA to control deformations, which is known to Deligne, Drinfeld, Konsevich, Lurie et al.

Using Chern Character, we reconstruct Bloch’s semiregularity map. Combining with the theory of functor of Artin rings by Schlessinger and Fantechi-Manetti, we prove the semiregularity conjecture.