|Speaker:||Prof. Chin-Lung Wang (National Taiwan University)|
|Title:||K-equivalence and algebraic cycles|
|Time:||2016-11-24 (Thu.) 15:00 - 16:00|
|Place:||Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)|
|Abstract:||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.
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