565net必赢客户端第二届学术交流会（2020年）

一、日程安排

1、会议日期：2020年1月9日（周四）

2、会议地点：565net必赢客户端校本部教二楼221

二、报告时间

上午

主持人：李海梁

8:30-9:30     报告人：惠昌常 题目：代数与导出等价

9:30-10:30    报告人：徐飞   题目：Strong approximation with brauer-manin obstruction for a family of norm varieties

10:30-11:00   合照、休息

11:00-12:00   报告人：费少明  题目：量子物理与量子信息处理

午餐

下午

主持人：徐飞

14:00-15:00    报告人：邹国华  题目：Model averaging prediction for time series models with a diverging number of parameters

15:00-15:30    休息

15:30-16:30    报告人：戎小春  题目：Some recent progress in studying collapsed manifolds with Ricci curvature bounded below

三、报告题目摘要（按报告时间排序）

惠昌常 教授

题目：代数与导出等价

摘要：We first introduce briefly the main purpose of representations of algebras, and then give a survey on constructions of derived equivalences of algebras. As is known, derived equivalences are widely applied in many branches in mathematics, especially in representation theory and homological algebra. We will show some applications in algebraic K-theory and in approach to the Broue's Abelian Defect Group Conjecture in modular representation theory of finite groups.

徐飞 教授

题目：Strong approximation with brauer-manin obstruction for a family of norm varieties

摘要：

费少明 教授

题目：量子物理与量子信息处理

摘要：我们介绍量子物理的一些基本概念：量子态、量子测量、演化；基本现象：量子相干、量子关联（量子纠缠、量子非局域性）、量子测不准关系等，以及在这些方面的近期研究进展：量子相干性的度量及其在量子信息处理中应用、量子纠缠判据、真正多体纠缠及纠缠的单配性关系、量子非局域性及真正多体量子非局域性、量子相干与量子关联之间的转换、量子测不准关系等。

邹国华 教授

题目：Model averaging prediction for time series models with a diverging number of parameters

摘要：An important problem with model averaging approach is the choice of weights. In this paper, a generalized Mallows model averaging (GMMA) criterion for choosing weights is developed in the context of an infinite order autoregressive (AR(infinity)) process. The GMMA method adapts to the circumstances in which the dimensions of candidate models can be large and increase with the sample size. The GMMA method is shown to be asymptotically optimal in the sense of obtaining the best out-of-sample mean-squared prediction error (MSPE) for both the independent-realization and the

same-realization predictions, which, as a byproduct, solves a conjecture put forward by Hansen (2008) that the well-known Mallows model averaging (MMA) criterion from Hansen (2007) is asymptotically optimal for predicting the future of a times series. The rate of the GMMA based weight estimator tending to the optimal weight vector minimizing the independent-realization MSPE is derived as well. Both simulation experiment and real data analysis illustrate the merits of GMMA method in the prediction of AR(infinity) process.

戎小春 教授

题目： Some recent progress in studying collapsed manifolds with Ricci curvature bounded below

摘要：We will give a survey on some recent progress in studying collapsed manifolds with Ricci curvature bounded below.