活動備忘 Event Memo：
Title: K-equivalence and algebraic cycles
K-equivalence arises naturally from the non-uniqueness issue of
birational minimal models in algebraic geometry. Due to its
simplicity, it leads to deep connections among various different
branches in geometry.
I start by reviewing numerical results which were based on
various integration theories. Then I state the K-equivalence
conjectures I raised in 2001 and recent progresses made on
analytic continuations of quantum cohomology.
Finally I discuss a very recent geometric result on the existence
of algebraic cycles which induce equivalence of Chow motives. It is
based on the decomposition theorem of peverse sheaves and the
geometry of arc spaces.