日期 Date |
时间 Time |
地点 Place |
报告人 Speaker |
题目(点击题目可查看摘要) Title(click the title to show the abstract) |
2月28日
28 February
|
13:00 - 14:00 |
数学楼 401 Math. Building 401
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韩京俊(复旦大学) Jingjun Han (Fudan University) |
Abstract: We reduce the termination of flips to the termination of terminal flips and the ACC conjecture for minimal log discrepancies (mlds) of enc pairs. As a consequence, the ACC conjecture for mlds of enc pairs implies the termination of flips in dimension 4.
We show that, in any fixed dimension, the termination of flips follows from the lower-semicontinuity for mlds of terminal pairs, and the ACC for mlds of terminal and enc pairs. Moreover, in dimension 3, we give a rough classification of enc singularities, and prove the ACC for mlds of enc pairs. These two results provide a second proof of the termination of flips in dimension 3 which does not rely on any difficulty function. This is a joint work with Jihao Liu.
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14:30 - 15:30 |
数学楼 401 Math. Building 401
|
焦骏鹏(清华大学) Junpeng Jiao (Tsinghua University) |
Abstract: A Calabi-Yau fibration is a fibration of projective varieties X->Z such that the
canonical bundle K_X is numerically trivial over Z. This class of varieties plays a significant role
in algebraic geometry, appearing naturally in contexts such as good minimal models and
elliptic Calabi-Yau varieties. In this talk, I will present some results on the boundedness of
Calabi-Yau fibrations under certain natural conditions, based on joint work with Minzhe Zhu
and Xiaowei Jiang.
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3月14日
14 March
|
cancelled due to the time conflict with the conference on
AI时代数学进展
|
3月28日
28 March
|
13:00 - 14:00 |
数学楼 102 Math. Building 102
|
李思辰(华东理工大学) Sichen Li (East China University of Science and Technology) |
Abstract: This talk introduces the birational geometry of the automorphisms of projective fibered varieties.
|
14:20 - 15:20 |
数学楼 102 Math. Building 102
|
杜佳宾(上海数学与交叉学科研究院) Jiabin Du (SIMIS) |
Abstract: Let X be a complex smooth projective variety. Roughly speaking, the action of automorphisms group of X on its Chow groups are controlled by the action on cohomology groups predicted by Bloch-Beilinson conjecture.
In this talk, we will introduce this kind of results for surfaces of general type with a genus two fibration. This is a joint work with Wenfei Liu.
|
15:40 - 16:40 |
数学楼 102 Math. Building 102
|
仲国磊(IBS-CCG) Guolei Zhong (IBS-CCG) |
Abstract: A folklore conjecture asserts that a Fano manifold of Picard number one
admitting a non-isomorphic surjective endomorphism is the projective space. This conjecture
is known up to dimension three by Amerik-Rovinsky-Van de Ven and Hwang-Mok
independently. In this talk, I will report our recent progress on this conjecture especially when
the tangent bundle is big. Certain specific dynamical restriction on the positivity of tangent
bundles will also be discussed. This talk is partly based on the joint work with Feng shao.
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4月11日
11 April
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4月25日
25 April
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5月09日
09 May
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5月23日
23 May
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6月06日
06 June
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6月20日
20 June
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