往期活动

Noncommutative Hodge conjecture

Abstract : In this talk, i will propose a rational Hodge conjecture for smooth and proper small dg categories. Let X be a projective smooth variety. The Hodge  conjecture of Per_(dg)(X) is equivalent to the classical rational Hodge conjecture of X. Using homological projective duality, more evidences of Hodge conjecture are obtained.