V
主页
京东 11.11 红包
3rd NAGC Day 1 Yongqiang Liu: L^2-type invariants and cohomology jump loci for..
发布人
Date: 2022/07/18 Speaker: Yongqiang Liu (USTC) Title: L^2-type invariants and cohomology jump loci for smooth complex quasi- projective varieties Abstract: Let X be a smooth complex quasi-projective variety with a fixed epimorphism ν: π1(X)→Z. We consider the asymptotic behavior of invariants such as Betti numbers and the order of the torsion subgroup of singular homology associated to ν, known as the L^2-type invariants. For degree 1, we give concrete formulas to compute these invariants by geometric information of X. The proof relies on the theory of cohomology jump loci. As an application, when X is a hyperplane arrangement complement, a combinatorial upper bound is given for the number of parallel positive dimension components in degree 1 cohomology jump loci with complex coefficients. Joint work with Fengling Li.
打开封面
下载高清视频
观看高清视频
视频下载器
2023 AGSS Week 1 Lecture 3.1 Chenyang Xu Yuchen Liu
3rd NAGC Day 3 Sheng Rao: Deformation limit and invariance of plurigenera of Moi
3rd NAGC Day 3 Jie Liu: Bounding algebraic ranks of Fano foliations
3rd NAGC Day 1 Chuanhao Wei: Kodaira-type vanishings via Nonabelian Hodge Theory
XBGS seminar (Yalong Cao 2022/05/18) Gopakumar-Vafa type invariants of holomorph
3rd NAGC Day 5 Zhan Li: Morrison-Kawamata cone conjecture for Calabi-Yau fibrati
3rd NAGC Day 5 Zhixian Zhu: $k$-jet ampleness of line bundles on toric varieties
XBGS seminar (Ziwen Zhu 2022/12/2): Equivariant K-stability and alpha invariants
3rd NAGC Day 2 Will Donovan: Simplices in the Calabi-Yau web
2023 AGSS Week 1 Lecture 5.1 Yuchen Liu
3rd NAGC Day 3 Yi Gu: Counterexamples to Fujita’s conjecture in positive charact
3rd NAGC Day 4 Junyi Xie: Rigidity theorems in complex dynamics
XBGS seminar (Hsueh-Yung Lin 2022/04/20) Motivic invariants of birational maps a
2023 AGSS Week 1 Lecture 1.3 Chenyang Xu
3rd NAGC Day 1 Yongbin Ruan: Logarithmic R-map
3rd NAGC Day 2 Hao Sun: Bridgeland stability conditions on fibred threefolds
Fudan-SCMS AG seminar (Davesh Maulik 2020/07/16) Log Donaldson-Thomas invariants
3rd NAGC Day 2 Mingshuo Zhou: Moduli space of parabolic bundles on a curve
Fudan-SCMS AG seminar (Chenyang Xu 2020/04/30) K-stability and moduli of Fano
2023 AGSS Week 2 Lecture 5.1 Xiaolei Zhao
2023 AGSS Week 1 Lecture 5.2 Chenyang Xu
2023 AGSS Week 1 Lecture 1.1 Chenyang Xu Jingjun Han
2023 AGSS Week 2 Lecture 5.2 Xiaolei Zhao
2023 AGSS Week 2 Lecture 1.1 Zili Zhang
华罗庚：《谈自学》，第三，没有什么秘密的学习方法
2023 AGSS Week 2 Lecture 5.3 Yang Zhou
Leonid Polterovich：Oscillations and topology
XBGS Seminar (Jie Liu 2021/10/20) Bigness of tangent bundles of Fano manifolds w
2024 AGSS Lecture 6.5 Ruijie Yang
Reading seminar (Jihao Liu 2022/02/25)
Reading seminar (Jihao Liu 2022/10/14) MLD in dim 3
2024 AGSS Lecture 4.6 Chen Jiang
2023 AGSS Week 2 Lecture 1.2 Ziyu Zhang
SCMS Colloquium (Yifeng Liu 2022/01/13)
2024 AGSS Lecture 5.3 Ziquan Zhuang
Fudan-SCMS AG seminar (Yuchen Liu 2020/06/25) K-moduli of curves on a quadric su
2024 AGSS Lecture 6.1 Botong Wang
XBGS Seminar (Burt Totaro 2021/11/11) Varieties of general type with doubly expo
2023 AGSS Week 1 Lecture 4.1 Chenyang Xu
