Let $g$ be a metric over $B$ which is conformal to $g_0$.We assume $/|R(g_k)/|_{L^p} <C$, where $R$ is the scalar curvature and $p/geq /frac{n}{2}$.We will use the John-Nirenberg inequality to prove that if $vol(B,g_k) /rightarrow 0$, then there exists $c_k /rightarrow+/infty$, such that $c_ku_k$ converges to a positive function weakly in $W^{2,p}_{loc}(B)$. As an application, we will study the bubble tree convergence of a conformal metric sequence with integral-bounded scalar curvature.

n the theory of tensor categories, especially the theory of fusion categories, the near group categories are an important class of fusion categories.The $/mathbb{Z}_+$-representations over near group fusion rings are closely related to the module categories over near group categories. In this talk we shall introduce a general theory of irreducible $/mathbb{Z_+}$-representations over near group fusion rings. We give the minimum upper the bound of rank of irreducible$/mathbb{Z_+}$-representation over a near group fusion ring, and the general classification methods of irreducible $/mathbb{Z_+}$-representations over near group fusion rings. We give explicitly the classifications of irreducible $/mathbb{Z_+}$-representations over some near group fusion rings, such as $K(/mathbb{Z}_2, n)$, $K(/mathbb{Z}_3, n)$, $K(/mathbb{K}_4, n)$ and $K(/mathbb{S}_3, n)$.

In this talk, we first introduce the quasitriangular Hopf algebras, the Drinfeld doubles of finite dimensional Hopf algebras, and their representation theory. Then we introduce the cocycle deformation theory of Hopf algebras. Finally, we introduce Taft algebras, their Drinfeld doubles and their representation theory and Green rings.

This paper develops an asymptotic theory for general nonlinear regression models, establishing a new framework on least squares estimation that is easy to apply for various nonlinear regression models with heteroscedasticity. This paper explores an application of the framework to nonlinear regression models with nonstationarity and heteroscedasticity. Accompanying with these main results, this paper provides a maximum inequality for a class of martingales and establishes some new results on convergence to a local time and convergence to a mixture of normal distributions, which are interested in their own rights.

题目：极小曲面纵横谈报告人：忻元龙 教授（复旦大学必赢国际bwin登录）时间：2018年12月7日（周五）16:00-17:00地点：致远楼101室欢迎广大师生参加

It is well-known that the R-matrix presentation of the Yangian in type A yields generators of its Drinfeld presentation. It has been an open problem since Drinfeld's pioneering work to extend this result to the remaining types. We will provide a solution for the classical types of BCD by constructing an explicit isomorphism between the R-matrix and Drinfeld presentations of the Yangian

In this talk, I will consider the endomorphism algebra of projective-injective module over a finite dimensional algebra. In several different context (e.g., (parabolic) BGG category O, quantum groups, rational Cherednik algebras, etc), it has been proved or conjectured that this endomorphism algebra can always be endowed with a symmetric structure. I will report our recent progress in this direction which are based on a joint work with Ngau Lam and a joint work with Ming Fang.