supported by Pacific Institute for the Mathematical Science(PIMS)postdoctoral fellowship award and by the U.S.Department of Energy,Office of Science,National Quantum Information Science Research Centers,Co-design Center for Quantum Advantage(C2QA)under Contract No.DESC0012704。
Using operator algebras,we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space.Quantum computation is usually implemented on finite discrete sets,and the pu...
supported by National Key R&D Program of China(Grant No.2021YFA1003100);supported by NSFC(Grant Nos.11825101,11522101 and 11431013);supported by the Talent Fund of Beijing Jiaotong University;supported by China Postdoctoral Science Foundation(Grant Nos.BX20230402 and 2023M743719)。
In this article,we consider a modified version of minimal L^(2) integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points,and obtain a concavity property of the modified version.As...
Borrowing ideas from elliptic complex geometry, we approach M-theory compactifications on real fibrations. Precisely, we explore real toric equations rather than complex ones exploited in F-theory and related dual mod...
In the study of the collapsed manifolds with bounded sectional curvature,the following two results provide basic tools:a(singular)fibration theorem by K.Fukaya[J.Differential Gcom.,1987.25(1):139156]and J.Cheeger,K.Fu...
supported by National Natural Science Foundation of China(Grant Nos.11231003 and 11321101)
Let f : X → B be a generic ordinary proper fibration over a complete curve in positive characteristics, we prove that the dual of higher direct image sheaf R^1 f_*O_X is nef. As a corollary, we show that f_*ω_(S/B) ...
supported by Japan Society for Promotion of Sciences(Grant No.18684001)
We consider base spaces of Lagrangian fibrations from singular symplectic varieties. After defining cohomologically irreducible symplectic varieties, we construct an example of Lagrar, gian fibration whose base space ...