Equivariant autoequivalences for finite group actions

The familiar Fourier-Mukai technique can be extended to an equivariant setting where a finite group G acts on a smooth projective variety X. In this paper we compare the group of invariant autoequivalences Aut(DbG(X)) with the group of autoequivalences of DG(X). We apply this method in three cases: Hilbert schemes on K3 surfaces, Kummer surfaces and canonical quotients.     

Two criteria for locally noetherian Grothendieck categories

We give two criteria for a Grothendieck category to be locally noetherian. The first of these is in terms of direct sum decompositions into uniform components. The second is related to the existence of finitely injective objects that cannot be expressed as a direct sum of injectives.     

Non-pseudounitary fusion

We prove there exist infinitely many inequivalent fusion categories whose Grothendieck rings do not admit any pseudounitary categorifications.     

论周作人序跋文的文体创造——以《苦雨斋序跋文》为例

序跋文是周作人散文创作的重要组成部分,它作为散文文体的一个分支,从侧面丰富、深化了对周氏散文文体创造力与风格特征的认知,是解读周作人的一个重要向度。表述方式、文体风格、文学语言三位一体,相生相成,共同呈现了周作人序跋文体独特的审美创造,使其真正成为中国现代散文的亚类型体式,具备鲜明的文体特征和审美价值。     

大学生电子设计竞赛电源类赛题分析

介绍了全国大学生电子设计竞赛中经常出现的电源类题目,分析了历届电源类题目的特点、所涉及的基础知识与制作能力;同时,将电源类题目按时间顺序划分为三个阶段,指出了电源类赛题的出题方向,总结了历届电源类赛题所涉及的主要基础知识与专业技能以及需要关注的电源新技术。     

Deformation theory of objects in homotopy and derived categories II: Pro-representability of the deformation functor

This is the second paper in a series. In part I we developed deformation theory of objects in homotopy and derived categories of DG categories. Here we extend these (derived) deformation functors to an appropriate bicategory of artinian DG algebras and prove that these extended functors are pro-representable in a strong sense.     

甲骨文字及其书艺创作浅见

本文指出创作甲骨书法艺术品，书作者需将甲骨文字与书法艺术同步研习。首要文字正确，然后在观摹临默、求形追神、笔墨技法、章法布局和深化学养诸方面下功夫，以期用毛笔、宣纸，尽可能完美地再现甲骨书契古韵，服务于当代。同时，作者对当今甲骨集字及书艺创作流派作了分析，并对书法、书品、人品作了探究。     

《红楼梦》创作中的文化生态解析

从文化生态学的角度看，《红楼梦》的意义世界由四个“场”构成：（1）哲学场；儒释道交融的主题思想；（2）社会场：封建社会名门望族的衰落；（3）话语场：“贾雨村言”和“甄士隐”相杂的狂欢；（4）文体场：传统文学与新兴文学过渡时期的跨文体阵痛。