报告人：夏永辉 教授 (浙江师范大学)题目： Linear quaternionic-valued differential equations时间： 9月15日（星期二），下午3:30-4:30地点：数学系致远楼102欢迎各位参加！夏永辉，男，博士，现为浙江师范大学数理与信息工程学院教授。曾任数学系副主任，非线性动力系统研究所所长。先后入选浙江省“新世纪151人才工程”第二层次； “浙江省优秀科技工作者” 荣誉称号(全省共100名)；浙江省科学技术奖一等奖1项（排名第三，...

多复变函数论青年研讨会（Young Mathematicians Workshop on Several Complex Variables 2015）多复变函数论青年研讨会定于2015年8月10日至8月14日上午在同济大学数学系召开。举办本次研讨会的目的是为国内从事多复变函数论及相关课题研究的青年人提供一个交流的平台与机会。会议时间为2015年8月10日至8月14日上午9：30至11：10、下午14：00至16：55，地点在同济大学四平路校区致远楼107会议室。欢迎参加

It is well known that the number of conjugacy classes of a finite group equals the number of irreducible representations. This can be regarded as a simple example of cocenter-representation duality. In this talk, I will explain how this idea can be used to study the affine Hecke algebras. It is based on joint works with Sian Nie, and with Dan Ciubotaru.

Mathematical concepts are the corner stones in the mathematical world. It is not easy to summarize and clearly state the inherent laws hidden in the concept's formation, variation, and the structure of the concept net. This talk is only a superficial try. We begin with the motivation and the formation of the notion of group, proceeding to the variations and alienations of groups. Certain generalizations of groups, such as affine group schemes and quantum groups, are also introduced, though they have a completely different look from the original face of a group.

In the second lecture, I will show how this idea is generalized to the quantum case and, in particular, to q-Schur superalgebras S_q(m|n,r). Thus, we obtain a classification theorem of simple modules of q-Schur superalgebras with m+n>=r at roots of unity. We believe that this work will be extended to all q-Schur superalgebras via the Schur functor. This is joint work of Gu Haixia and Wang Jianpan.

In this talk we establish weak factorizations for a weighted Bergman space A^p_a, with 1 < p < 1, into two weighted Bergman spaces on the unit ball of C^n. To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of C^n. This is a joint work with Jordi Pau.

This talk reports on our recent development of high-resolution, nonionizing biophotonic imaging technologies, including optical coherence tomography (OCT) and multiphoton endomicros- copy. These fiber-optically based technologies have shown significant translational potential for imaging tissue microanatomiesin vivoat a resolution approaching or at that of standard histopathology but without the need for tissue removal or staining. The physics principles, engineering challenges and (big) data and image processing challenges, and potential solutions will be briefly discussed, including the development of advanced lasers, MEMS technology, custom optical fiber, ultracompact and high-performance micro optics, speckle noise reduction, image segmentation and optical staining techniques. Representative applications of these high-resolution technologies will be presented,

In the first lecture, I will discuss an extension of the Alperin weight conjecture to permutation modules M of a finite group. By introducing relative projectivity and the theory of vertices and sources, we may partition the set of primitive idempotents of End(M) in terms of their defect groups. In this way, we may provide a classification of simple modules of End(M).