The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra and beyond

Speaker: Naihong Hu (East China Normal University)

Time: 8:30-9:30, May 30, 2026

Venue: 吉林大学正新楼209

Abstract:

Bio: 胡乃红，华东师范大学数学学院教授、博导，华东师大中法基础数学联合实验室LIA执行主任，德国洪堡学者，从事李理论、量子群及Hopf代数结构与表示论研究，近年来对量子群表示论、有限张量范畴理论、量子拓扑和拓扑量子计算前沿研究热点感兴趣。现任SCI杂志Frontiers Math.编委。曾获得教育部霍英东奖（研究类）二等奖，第三届教育部优秀教师教学科研奖励计划暨教育部青年教师奖(部优青)，上海市启明星计划和追踪计划。多次主持国家自然科学基金面上项目，两次参与国家自然科学基金重点项目，并与美国北卡州立大学景乃桓教授合作，获得基金委海外青年合作研究基金。在Crelle J.、Comm. Math. Phys.、Israel J. Math.、J. Algebra等国际学术刊物发表高水平学术论文80余篇。

Previous lectures and talks:

The Permutation Automorphism Groups of Irreducible Cyclic Codes

Speaker: Qing Xiang (Southern University of Science and Technology)

Time: 10:00-12:00，May 18, 2026

Venue: 吉林大学数学楼第五研讨室

Abstract: The study of permutation automorphism groups of cyclic codes is a central topic in algebraic coding theory. A cyclic code over Fq is called irreducible if its check polynomial is irreducible over Fq. Such a code is standard if its permutation automorphism group is equal to the group generated by the cyclic shift and the Frobenius automorphism, and non-standard otherwise. In this talk, we give a complete classification of all non-standard non-degenerate irreducible cyclic codes, using the classification of finite simple groups. Our result shows that, apart from a small number of explicit exceptional families and their descendants under certain secondary constructions, every non-degenerate irreducible cyclic code is standard, and up to four explicit exceptions, every degenerate cyclic code is non-standard.

Bio: 向青为南方科技大学数学系讲席教授, 现任数学系系主任。向青教授的主要研究方向为组合设计、有限几何、编码理论，极值组合和加法组合。在顶尖数学综合期刊《Advances in Math.》，《Trans. AMS》和国际组合数学界最高级别杂志《J. Combin. Theory Ser. A》，《J. Combin. Theory Ser. B》， 《Combinatorica》等重要国际期刊上发表学术论文100余篇。于1999年荣获了国际组合数学及其应用协会颁发的Kirkman奖章。主持完成美国国家自然科学基金、中国自然科学基金海外和港澳合作、中国自然科学基金重点项目等科研项目10余项。曾在国际学术会议上作大会报告或特邀报告60余次。

Deformations of log-canonical Poisson brackets

Speaker: Mykola Matviichuk (The Chinese University of Hong Kong)

Time: 9:00-11:00， May 18,  May 20,  May 22,  May 26,  May 27,  May 29,  2026

Venue: 吉林大学伍卓群楼3楼多功能厅2

Abstract: A Poisson bracket on a space X is a Lie algebra structure on the space of functions on X that behaves like a derivative in both its arguments. I will discuss the deformation theory of Poisson brackets, which is controlled by the so-called Poisson cohomology. The deformations log-canonical Poisson brackets will be discussed in a great detail. Applications to Lie theory will be presented. The mini-course is based on joint works with Brent Pym, Travis Schedler and Jiang-Hua Lu.

Bio: Mykola Matviichuk is an assistant professor at the Department of Mathematics in the Chinese University of Hong Kong.  He is interested in the study of symplectic geometry, algebraic geometry, deformation theory and Poisson geometry. He has published papers in Geom. Topol., Selecta Math., J. Algebraic Geom., Int. Math. Res. Not. IMRN and other journals.

From Resonant Scatterers to PDE Control

Speaker: Mourad Sini (Austrian Academy of Sciences)

Time: 2026年05月11日-18日

Venue: Zoom 会议（会议链接请联系 tangrx23@mails.jlu.edu.cn 获取）

Abstract: This lecture series explores a control-theoretic use of small resonant scatterers in partial differential equations. The main idea is that suitably chosen micro-resonant inhomogeneities, such as bubbles or plasmonic nanoparticles, can be interpreted and designed as effective actuators for wave and heat equations. The first lecture introduces the general philosophy of the series: starting from physical resonance mechanisms, one derives effective point-actuator models of Foldy–Lax type and uses them to orient the analysis toward tracking and stabilization problems in control theory. The next two lectures develop this program in two representative settings, namely acoustic field generation by clusters of bubbles and heat generation by plasmonic nanoparticles. The final lecture synthesizes these case studies and discusses broader perspectives, including the use of reduced models for control design, direct control questions at the level of the original transmission problems, and possible extensions to other systems such as elasticity and other hybrid models. In this way, the series of lectures emphasizes that asymptotic reduction is the key step that connects resonance theory with PDE control.

Bio: M. Sini got his PhD degree from University of Provence, France, in October 2002. From September 2006, he joined the Radon Institute, of the Austrian Academy of Sciences, where he was tenured since 2011 as a senior fellow (equivalent to university professor) after securing the Habilitation degree from J. Kepler University in 2009. M. Sini was invited to deliver the IAAM Award Lecture (Sweden, August 2019) and an invited plenary speaker in the Applied Inverse Problems (AIP) conference (Grenoble, France, July 2019). He attracted around 2 Mi euro as third-party funding. M. Sini is interested in the analysis of partial differential equations applied to inverse problems, mathematical imaging, mathematical therapy and material theory. By now, he published nearly 100 papers, most of them in top journals, several book chapters and co-edited a book.  He is member of the editorial board of several journals including Mathematical Methods in Applied Sciences (Wiley) and Communication on Analysis and Computation (AIMS).

Schedule: 

Poisson cohomology and linearization

Speaker: Florian Michael Zeiser (Institute for Basic Science)

Time: 9:00-11:00， May 12, 2026, May 13, 2026, May 14, 2026

Venue: 吉林大学伍卓群楼3楼多功能厅2

Abstract: The (non-)existence of a local form is an important question for any geometric structure. The non existence of a local normal form in Riemannian geometry implies the existence of local invariants, e.g. curvature, while the existence of a local normal form for a symplectic structure implies that we can not distinguish such manifolds locally. In this minicourse we investigate this question for Poisson structures.
In the first lecture we introduce the basics of Poisson geometry. Starting from a Poisson bracket, we give a reinterpretation in terms of bivector fields and take a first step towards a local normal form theorem with Weinstein's splitting theorem. Moreover, we will see that any Poisson structure induces a symplectic foliation and provide various examples.
Any Poisson structure induce a cohomology, Poisson cohomology. In the second part, we discuss its importance in Poisson geometry and different methods which allow us to compute Poisson cohomology in some cases. Finally, in the third part of this minicourse we discuss the (non)existence of normal forms, i.e. the question of linearization in Poisson geometry, and the role of Poisson cohomology to answer it.

Bio: Florian Michael Zeiser is a Research Fellow at the Institute for Basic Science in the Center for Geometry and Physics in Pohang. He is interested in the study of geometric structures such as folitations, symplectic geometry and Poisson geometry. He has published papers in Memoirs of the AMS, Journal of Symplectic Geometry, Journal of Algebra and other journals.

Skew Braces: Structure and Connections

Speaker: Lorenzo Stefanello (University of Pisa)

Time: May 07, 2026, 13:00-15:00

Venue: Zoom ID：904 645 6677,   Password：2026

Link: https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract: Skew braces are algebraic structures equipped with two group operations interacting in a compatible way, and have attracted increasing attention due to their rich structure and connections with various areas of algebra. In this talk, we introduce skew braces through basic examples and discuss some of the motivations behind their study. We then focus on three main problems arising in this context. First, we investigate the relationship between the two group operations, including results related to a conjecture of Byott, classification results in specific cases, and connections with radical rings and problems concerning unit groups of rings. Second, we present results related to Hopf–Galois structures, illustrating how skew braces provide a natural framework for studying these objects and describing some recent developments. Finally, we introduce Rota–Baxter operators in this context, showing how they arise naturally from the problem of constructing skew braces, and examining the question of whether all skew braces can be obtained in this way.

Bio: Lorenzo Stefanello is a mathematician whose research focuses on skew braces and their connections with Hopf–Galois theory. He earned a PhD in Mathematics from the University of Pisa, working at the intersection of abstract algebra and algebraic number theory.

The Universal Post-Lie-Rinehart Algebra of Planar Aromatic Trees

Speaker: Ludwig Rahm (University of Geneva)

Time: April 23, 2026, 21:00-23:00

Venue: Zoom ID：904 645 6677,   Password：2026

Link: https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract: Aromatic B-series have been used to study volume-preserving numerical integrators on Euclidean spaces. One important result in the success of aromatic B-series is that each aromatic B-series method can be represented by an element in the free tracial pre-Lie-Rinehart algebra. This talk will extend this result to homogeneous spaces. We will first discuss the underlying structures of Lie algebroids, Lie-Rinehart algebras and post-Lie algebras. We will then arrive at a natural definition for tracial post-Lie-Rinehart algebras, and will describe the free object in this category.

Bio: Ludwig Rahm defended his PhD at Norwegian University of Science and Technology in December 2024 under the supervision of Kurusch Ebrahimi-Fard and Hans Zanna Munthe-Kaas. He is currently a Post-doc at University of Geneva under the supervision of Gilles Vilmart.

Pre-Lie and Post-Lie algebras in combinatorics and geometry

Speaker: Paul Laubie (Université de Lorraine)

Time: April 16, 2026, 21:00-23:00

Venue: Zoom ID：904 645 6677,   Password：2026

Link: https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract: After a brief recollection on the algebraic structure on vector field of manifold, we will state the theorem of Joyal linking Lie algebras and partitions of finite sets. We will show how operads allow us to strengthen this link between combinatorics of posets and algebraic structures via Koszul duality. Finally, we will discuss applications of the combinatorial description of those algebraic structures.

Bio: Paul Laubie defended his PhD at the university of Strasbourg in May 2024 under the supervision of Vladimir Dotsenko, and he is currently a Post-doc at Université de Lorraine under the supervision of Yvain Bruned. His mathematical interest is at the intersection between homological (or homotopical) algebra and combinatorics with an emphasis on applications to other mathematical domains such as numerical analysis or stochastic differential equations.

Reflection theory for (quasi-)Hopf algebras

Speaker: Gongxiang Liu (Nanjing University)

Time: April 09, 2026, 10:00-11:00

Venue: Zoom ID：904 645 6677,   Password：2026

Link: https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract: Reflection theory for Hopf algebras is a fundamental tool for classification of pointed Hopf algebras. Through reflection theory, one can define the corresponding Weyl groupoid and root system theory for Nichols algebras. We will explain this theory in this talk at first.  For a long time, we don’t know how to generalize such tool to (co)quasi-Hopf algebras. Secondly, we show that we have such a theory for (co)quasi-Hopf algebras with bijective antipode briefly. This is a joint work with Dr. Bowen Li.

Bio: 刘公祥，南京大学数学学院教授、博士生导师，南京大学数学学院党委书记。长期从事代数学方面的研究工作，在J. Reine Angew Math.、Trans. Amer. Math. Soc.、Adv. Math.、Comm. Math. Phys., Israel J. Math.等国际重要SCI期刊上发表多篇学术论文。多次受邀在国内外学术会议上作大会报告，曾获霍英东教育基金会中国高校青年教师奖、江苏省数学杰出成就奖等，2017年获国家自然科学基金优秀青年基金支持。

Chiral algebras and the Manin product of operads

Speaker: Pavel Kolesnikov (Sobolev Institute of Mathematics)

Time: March 30, 2026, 16:00-18:00

Venue: 吉林大学数学楼第五研讨室 

Abstract: 

Bio: Pavel Kolesnikov is a research member of the Sobolev Institute of Mathematics and a professor of Novosibirsk State University. He specializes in the study of non-associative structures emerging in contemporary mathematics, like Rota-Baxter algebras, dendriform algebras, conformal and vertex algebras, etc.

Symmetric Poisson geometry, totally geodesic foliations and Jacobi-Jordan algebras

Speaker: Roberto Rubio (Autonomous University of Barcelona)

Time: March 12, 2026, 15:00-16:00

Venue: Zoom ID：904 645 6677,   Password：2026

Link: https://us06web.zoom.us/j/9046456677?pwd=CWu8WvANi9ohJh4OW91sTVqBM9zsOT.1&omn=86972689584

Abstract: I will introduce symmetric Poisson geometry, the study of symmetric bivector fields on a manifold. I will first discuss their integrability condition, then move to their geometric interpretation, which features totally geodesic foliations, and finally discuss some interesting examples, including their connection to Jacobi-Jordan algebras. This is joint work with Filip Moucka, available on arXiv2508.15890.

Bio: Roberto Rubio is a Ramón y Cajal researcher at the Autonomous University of Barcelona and the PI of the research grants GENTLE and DÉCOLLAGE. He first worked on Higgs bundles (PhD, ICMAT 2012) and then developed generalized geometry of type Bn (PhD, Oxford 2015). He has been a postdoctoral fellow at IMPA, where he worked on Dirac structures, and the Weizmann Institute of Science, where he worked on Gelfand pairs, as well as a Marie Skłodowska-Curie Individual Fellow. He is an expert on generalized geometry and Courant algebroids, with a special focus on the development and study of new geometrical frameworks.

关于某些拟线性椭圆方程解的分类与刘维尔性质的新进展

Speaker: 王友德 (广州大学)

Time: 2026年1月8日,  10:00-11:00

Venue: 腾讯会议：290-429-573

Abstract: 

我们将介绍定义在具非负里奇曲率的非紧完备流形上的拟线性退化Lane-Emden方程 

的最佳Liouville定理及如何使用Nash-Moser迭代获得一类拟线性退化椭圆方程正解的最佳形式的统一的郑-丘(Cheng-Yau)型梯度估计。我们也将介绍定义在里奇曲率非负的非紧黎曼流形上的临界p-Laplace方程正解的分类及刚性等。

Bio: 王友德，教授，博士生导师，国家杰出青年基金获得者，“百千万人才工程”国家级人选。在调和映射、几何流及其相关问题上进行了长期的研究，取得了一系列具有学术价值的成果。曾提出在国际上引发一系列后续研究的薛定谔几何流的概念及率先获得其局部适定性；解决了阿尔法调和映射序列收敛产生泡泡时能量恒等式是否成立等公开问题。