Lecture----数学院晨兴数学中心

Title:	Griffiths groups and Chow groups
Speaker:	Xuanyu Pan (潘宣余, Washington University in St. Louis)
Time:	2016-1-4, 10:30-11:30
Place:	N913
Abstract:	In this talk, I will talk about my work on the Griths groups of Fano vari- eties of lines and the second Chow groups of "3-Fano" hypersurfaces. In fact, we answer a question of Professor Voisin in some cases. More precisely, we prove that the rst Griths groups of Fano varieties of lines of "2-Fano" hypersurfaces are trivial and the second Chow groups of "3- Fano" hypersurfaces are torsion-free and of rank one. The proof is based on Tsen-Lang theorem, moduli space of stable maps, bend-and-break theorem and the geometry of quadric surfaces in a hypersurface. Reference: 2-Cycles on Higher Fano Hypersurfaces (Arxiv)
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