中国科学院数学与系统科学研究院
数学研究所
学术报告
代数几何研讨班
Speaker: 徐泽 副教授 (山东大学)
Title: Motivic multiplicativity of complete intersections
Time&Venue: 2024.11.29（星期五）14:00-15:00 & 思源楼S813
Abstract: Inspired by the Bloch-Beilinson philosophy for Chow groups, it is interesting to determine for which varieties their Chow groups are bi-graded, or more generally, their Chow motives have canonical Chow-Kunneth decomposition just as the case of abelian varieties. In this talk, we show that any Fano or Calabi-Yau complete intersection has a multiplicative splitting, that is, admits a self-dual multiplicative Chow-Kunneth decomposition. As a consequence, the third relative power of the corresponding universal families satisfy the generalized Franchetta conjecture.
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