活動詳細資訊 Event Information
活動詳細資訊 Event Information
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活動訊息最後更新時間 : 2016-11-11 14:59:27
開始日期 Starting Date:2016-11-24  15:00
結束日期 Ending Date:2016-11-24  16:00
會議狀態 State:確定 Definitive
主/協辦單位 Organizer:數學研究所 Institute of Mathematics
活動地點 Venue:中研院數學所 演講廳(6F) (台大院區) Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
活動備忘 Event Memo:

Title: K-equivalence and algebraic cycles

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.