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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kodaira-type and Bott-type vanishings via Hodge theory
Hodge理论 Kodaira型 Bott型消失
2023/11/13
I will first give a brief introduction to T. Mochizuki's Theory of twistor D-modules. Then, we use it to study Kodaira-type vanishings. In particular, we will generalize Saito vanishing, and give a Ka...
P-adic Hodge Theory and Automorphic Forms Workshop
P-adic Hodge Theory and Automorphic Workshop
2017/1/10
This workshop will focus on recent developments in p-adic Hodge theory and automorphic forms, especially their interplay.
HODGE THEORY AND DEFORMATIONS OF KAHLER MANIFOLDS
HODGE THEORY DEFORMATIONS KAHLER MANIFOLDS
2018/4/19
We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of K¨ahler manifolds. As applications, we present a construction of globally convergent power ser...
Cohomology and Hodge Theory on Symplectic Manifolds: II
Cohomology Hodge Theory Symplectic Manifolds: II
2010/12/24
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...
This is a report on joint work with T. Hausel and L. Migliorini, where we prove, for each of the groups GL(2,C), PGL(2,C), SL(2,C), that the non-Abelian Hodge theorem identifies the weight filtration ...
Cohomology and Hodge Theory on Symplectic Manifolds: II
Cohomology Hodge Theory Symplectic Manifolds: II
2010/11/11
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...