1.
报告一
报告题目：
On p-Numerical Radius Inequalities for Hilbert Space Operators
报告人：高福根（河南师范大学）
摘要：
Numerical range and numerical radius play an important role in the fields
of analysis, operator theory and mathematical physics. In recent years, there are many
generalizations about classical numerical range and numerical radius, and many
mathematicians have paid considerable attention to the study of these concepts. In this
talk, we introduce some refinements and generalizations of p-numerical radius
inequalities. We also obtain some numerical radius inequalities for 2
×
2 operator
matrices which improve on some existing results.
报告时间：
2025
年
10
月
17
日上午
8:00-8:40
报告地点
:
九游体育
304
会议室
报告人简介：高福根，河南师范大学教授，博士生导师，河南省学术技术带
头人，河南省数学会理事，河南省一流本科课程负责人，主要从事泛函不等式和
算子理论研究，先后主持承担国家自然科学基金项目和教育部科学技术研究重点
项目、河南省科技攻关项目等省部级及以上项目
9
项，现主持国家自然科学基金
面上项目一项。在
Mathematische Nachrichten, Banach J. Math. Anal., Results Math.
和
Acta Sci. Math. (Szeged)
等杂志发表
SCI
等论文
30
余篇。
2.
报告二
报告题目：
The feedback stability criteria for infinite-dimensional linear systems
via Davis-Wielandt shells
报告人：刘浏（大连理工大学）
摘要：
The Davis-Wielandt shell serves as a natural higher-dimensional extension
of the classical numerical range, capturing both the gain and phase behavior of
operators simultaneously. In this talk, we give a new feedback stability criteria for
discrete-time linear time-varying systems via Davis-Wielandt shells of bounded
operators in the nest algebra.
报告时间：
2025
年
10
月
17
日上午
8:40-9:20
报告地点
:
九游体育
304
会议室
报告人简介：刘浏，大连理工大学九游体育教授，博士生导师，从事算
子理论及其在控制理论中的应用研究，入选辽宁省
“
兴辽英才
”
青年拔尖、辽宁
省百千万人才工程万层次，大连市科技之星，获辽宁省科学技术自然科学三等奖、
辽宁省学术成果一等奖
2
项。
3.
报告三
报 告 题 目 ：
Strict correlation-dimension drop for quartic Salem Bernoulli
convolutions
。
报告人：程国正（大连理工大学）
摘 要 ：
For every quartic Salem number $\beta\in(1,2)$, we prove that the
Bernoulli convolution $\nu_{\beta^{-1}}$ with equal weights has correlation
dimension strictly less than one. In particular, neither of the two corresponding
measures has an $L^2$ density. We relate correlation dimension to exact collision
probabilities and express these probabilities as positive integrals over a
four-dimensional torus associated with the defining polynomial.
报告时间：
2025
年
10
月
17
日上午
9:20-10:00
报告地点
:
九游体育
304
会议室
报告人简介：程国正，大连理工大学九游体育教授，博士生导师，主要
从事函数空间上算子理论以及随机解析函数研究。近年来在
IMRN, JFA, TAMS
等国际数学刊物上发表论文二十余篇，连续主持
4
项国家自然科学基金项目。
4.
报告四
报告题目：
The invariant subspace problem and Rosenblum operators
报告人：张远航（吉林大学）
摘要：
The invariant subspace problem, one of the central open questions in
operator theory, asks whether every bounded operator on a separable Hilbert space
has a nontrivial closed invariant subspace. In this talk, we will present a new approach
that translates this operator-theoretic problem into concrete problems concerning
analytic functions on the unit disk. Our starting point is the classical Rosenblum
equation, whose solutions reveal the hidden analytic structure of an operator. From
these solutions, we construct shift representation operators, which yield refined
versions of classical theorems and a criterion for the existence of invariant subspaces.
As the main application, we will discuss Halmos's third problem, which asks whether
the inverse of an operator that has a nontrivial invariant subspace also has one. Our
approach provides a reduction of the problem as well as new affirmative results.
This is a joint work with Junsheng Fang, Bingzhe Hou and Chunlan Jiang.
报告时间：
2025
年
10
月
17
日上午
10:00-10:40
报告地点
:
九游体育
304
会议室
报告人简介：张远航，吉林大学数学九游体育教授，研究方向为算子理论和算子
代数，目前主要研究兴趣是线性算子的结构、单核
C*-
代数分类、套代数的可逆
元群连通性问题。研究成果发表于
J. Funct. Anal.
、
J. Noncommut. Geom.
、
J.
Operator Theory
、
Math. Z.
、
Proc. Amer. Math. Soc.
、
Sci. China Math.
、
Studia Math
及被
Canad. J. Math.
录用。
5.
报告五
报告题目
: The single-generator problem for C*-algebras
报告人：李春光（东北师范大学）
摘 要 ：
The single-generator problem asks whether every simple separable
$C^*$-algebras can be generated by a single element. It is closely related to the
classical generator problem for von Neumann algebras.
In this talk, I will first review the background and some of the main
developments concerning this problem. I will then present recent joint work on
several classes of C*-algebras. We prove that each Villadsen algebra of the first type
is singly generated.
In contrast, we construct a Villadsen algebra of the second type that is not singly
generated. For crossed products, we prove that if $\sigma$ is a minimal
homeomorphism of a compact metrizable space $X$, then $C(X)\rtimes
\mathbb{Z}$ is singly generated. Finally, we establish that the reduced group
C*
-
algebra $C_r^(\mathbb{F}_2)$ of the free group on two generators is singly
generated.
报告时间：
2025
年
10
月
17
日上午
10:40-11:20
报告地点
:
九游体育
304
会议室
报告人简介：李春光，东北师范大学副教授，主要从事算子理论与算子代数
方面问题研究，在
Trans. Amer. Math. Soc.
，
JFA
和
J. Noncommut.Geom.
等杂志发
表多篇文章。
6.
报告六
报告题目：
Stability of isometries on positive cones of trace class operators
报告人：李磊（南开大学）
摘要：
In this talk, I will introduce our recent work on stability of isometries on
positive cones of trace class operators. We finally give an affirmative answer in the
finite-dimensional cases.
报告时间：
2025
年
10
月
17
日下午
2:00-2:40
报告地点
:
九游体育
304
会议室
报告人简介：李磊，南开大学九游体育教授，博士生导师，南开大学数
学系系主任。曾任台湾中山大学博士后研究员，英国玛丽女王大学访问学者。主
要研究方向为泛函分析，已在
J. Funct. Analysis, Math. Ann., J. Algebra, Israel J.
Math., Studia Math., Proc. Amer. Math. Soc., Quart. J. Math., Canad. Math. Bull.,
Anal. Funct. Anal.
等期刊发表
SCI
论文
20
多篇。
7.
报告七
报告题目
: Uniformly recurrent von Neumann subalgebras
报告人：江永乐（大连理工大学）
摘要
: Let G be a countable discrete group and Sub(G) be the space of subgroups
of G equipped with the Chabauty topology (i.e. the product topology in this case).
Then G acts on Sub(G) by conjugation, which is a continuous action. Glasner–Weiss
introduced the concept of Uniformly Recurrent Subgroups (URS) in 2014. A URS is
just a minimal G‑subsystem of this G‑action. After its introduction, URS has attracted
much attention from both dynamical side and the operator algebra community,
especially due to its connection to C*‑simplicity of G. In this talk, we will explain a
generalization of this notion to uniformly recurrent von Neumann subalgebras (URA)
by replacing Sub(G) with Sub(L(G)), the space of all von Neumann subalgebras in
L(G). Based on joint work with Amrutam Tattwamasi and Pierre Fima.
报告时间：
2025
年
10
月
17
日下午
2:40-3:20
报告地点
:
九游体育
304
会议室
报告人简介：江永乐，大连理工大学九游体育副教授，主要从事算子代
数和遍历论相关的研究工作。在
Math. Ann.
，
J. Funct. Anal.
等国际学术期刊发表
多篇科研论文。目前主持国家自然科学基金面上基金项目一项。
8.
报告八
报告题目：
Bockstein operations and classification of AD algebras with real rank
zero
报告人：安庆楠（东北师范大学）
摘要：
The Elliott classification programme aims to classify nuclear C*-algebras
by means of K-theoretic invariants, although information beyond ordinary ordered
K-theory is often required. In this talk, we will introduce the total K-theory together
with the Bockstein operations, which include the coefficient maps, and the Bockstein
maps. We will show that the Bockstein operations are necessary for the classification
of AD algebras with real rank zero. In fact, Eilers established that, for such algebras
with bounded torsion in the maps are redundant in classification by the ordered scaled
total K-theory. In this talk, we will address the unbounded torsion case and show a
sharp contrast: the map is in fact essential. This is based on joint work with Zhichao
Liu and Xin Ma.
报告时间：
2025
年
10
月
17
日下午
3:20-4:00
报告地点
:
九游体育
304
会议室
报告人简介：安庆楠，东北师范大学数学与统计九游体育副教授，主要研究兴趣
是
C*-
代数的分类与不变量等相关理论，部分科研成果在
Proc. Lond. Math. Soc.
、
J. Funct. Anal.
、
Sci. China Math
、
J. Noncommut. Geom.
、
Canad. J. Math.
等期刊收
录和发表。
2023
年度，入选天元东北中心优秀青年学者。
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