Mathematics Outlook Forum---Mathematics Series Report

2020-11-27  金沙威尼斯欢乐娱人城 Hits:[]

Speaker: Xiang Qing, Professor, Southern University of Science and Technology

Reporting time: 9:00-9:30 am on December 5th

Report location: Tencent Conference ID 964 425 618

Title:Linear Representations of Finite Geometries and Associated LDPC Codes

Summary:The linear representation of a subset of a finite projective space is an

incidence structure of affine points and lines determined by the subset. In this talk we use character theory to show that the rank of the incidence matrix has a direct geometric interpretation in terms of certain hyperplanes. We consider the LDPC codes defined by taking the incidence matrix and its transpose as parity-check matrices, and in the former case prove a conjecture of Vandendriessche that the code is generated by words of minimum weight called plane words. In the latter case we compute the minimum weight in

some cases and provide a few constructions of codewords.


Speaker: Ge Gennian, Professor, Capital Normal University

Reporting time: 9:30-10:00 am on December 5th

Report location: Tencent Conference ID 964 425 618

Title:Sparse Hypergraphs: from Theory to Applications

Summary:



Speaker: Zhang Jian, Professor, University of Electronic Science and Technology of China

Reporting time: 10:00-10:30 am, December 5th

Report location: Tencent Conference ID 964 425 618

Title:Variational Correlation Between Nonlinear Schrodinger Equations with Differential Potentials

Summary:This talk is concerned with several types of nonlinear Schrodinger equations with differential potentials. We first discuss the variational characteristics for the time-independent Schrodinger equations. Then we establish the sharp conditions and sufficient conditions for global existence of the Cauchy problems. Especially, we find the comparison relations between the different ground states. We also obtain the sharp conditions for global existence of two types of Gross-Pitaevskii equations in terms of the related ground states.



Speaker: Mu Chunlai, Professor of Chongqing University

Reporting time: 10:30-11:00 am on December 5th

Report location: Tencent Conference ID 964 425 618

Report topic: Global boundedness of the solution of a quasi-linear chemotaxis model with flow restriction

Abstract: Considering the initial-boundary value problem of a class of chemotaxis models with flow restrictions, by establishing a new prior estimate, under the condition of $p>q\geq1$, it is proved that the only classical solution of the model is the existence and Regarding time is uniformly bounded, it solves what Mizukami et al. proposed in (J. Differential Equations 267(2019) 5115-5164, Acta. Appl. Math. doi.org/10.1007/s10440-019-00275-z) Open issues.


Speaker: Cai Han, Postdoctoral Fellow, Ben Gurion University of the Negev

Reporting time: 11:00-11:30 am, December 5th

Report location: Tencent Conference ID 964 425 618

Title:On Optimal Locally Repairable Codes with Super-Linear Length

Summary:In this talk, on one hand, new upper bounds on the length of optimal locally repairable codes are derived. The new bounds both improve and generalize previously known bounds. On the other hand, our focus is to construct optimal codes, whose length is order-optimal with respect to the new upper bounds. Optimal codes are constructed, whose length is order-optimal with respect to the new upper bounds. Notably, the length of the codes is super-linear in the alphabet size.


Pre:Mathematics Outlook Forum---Statistics Series Report Next:重庆师范大学程新跃教授学术报告

Close

Baidu
sogou