Conference on Combinatorics, Commutative Algebra, Algebraic Geometry, and Their Applications
Hanoi, 3–5 November 2025
Welcome to the Conference on Combinatorics, Commutative Algebra, Algebraic Geometry, and Their Applications.
This conference aims to provide a comprehensive overview of recent advances across these vibrant areas and to highlight their diverse applications. It is also a forum for exchange and collaboration, bringing together leading researchers and young scholars from Vietnam and around the world.
Through invited talks, contributed presentations and discussions, the conference seeks to foster new ideas, strengthen international cooperation and highlight the growing role of these fundamental areas of mathematics in science, engineering and technology.
Time and Venue
Time: 3–5 November 2025
Venue: Room 212‑E3, University of Engineering and Technology, Vietnam National University, Hanoi
Registration
There is no participation fee.
If you plan to attend, please fill out the Online registration form.
Contact email: hltruong@vnu.edu.vn
Deadline for financial support: 3 October 2025
Deadline for registration: 30 October 2025
Organizers
University of Engineering and Technology, Vietnam National University, Hanoi.
- Prof. Dr. Chu Duc Trinh, University of Engineering and Technology, Vietnam National University, Hanoi
- Prof. Dr. Hoang Le Truong, University of Engineering and Technology, Vietnam National University, Hanoi
- Nguyen Khanh Ly, University of Engineering and Technology, Vietnam National University, Hanoi
- Dr. Tran Quoc Long, University of Engineering and Technology, Vietnam National University, Hanoi
Registration
There is no participation fee.
If you plan to attend, please fill out the Online registration form. Feel free to contact us at hltruong@vnu.edu.vn for any questions.
Deadline for financial support: 3 October 2025
Deadline for registration: 30 October 2025
Invited Speakers
- Ivan Arzhantsev, HSE University
- Le Van Dinh, FPT University, Vietnam
- Le Xuan Dung, Hong Duc University
- Sergey Gaifullin, HSE University
- Le Mau Hai, Hanoi National University of Education
- Nguyen Thi Anh Hang, Thai Nguyen University of Education
- Pham Hoang Hiep, University of Engineering and Technology, VNU, Hanoi
- Tran Quang Hoa, Hue University
- Le Tuan Hoa, Institute of Mathematics, VAST
- Do Trong Hoang, Hanoi University of Science and Technology
- Do Van Kien, Hanoi Pedagogical University 2
- Toshinori Kobayashi, Meiji University
- Le Thi Thanh Nhan, Institute of Mathematics, VAST
- Kazuho Ozeki, Nihon University
- Sudeshna Roy, Indian Institute of Technology Gandhinagar
- Tran Nam Trung, Institute of Mathematics, VAST
- Ngo Viet Trung, Institute of Mathematics, VAST
- Vu Duc Viet, University of Cologne
Abstracts
Ivan Arzhantsev (HSE University)
Title: On flexibility of affine factorial varieties
Abstract: We give a criterion of factoriality of a suspension. This allows us to construct many examples of flexible affine factorial varieties. In particular, we find a homogeneous affine factorial 3‑fold that is not a homogeneous space of an algebraic group. The talk is based on a joint work with Kirill Shakhmatov. The work was prepared within the framework of the project “International Academic Cooperation” of HSE University.
Le Xuan Dung (Department of Algebra - Geometry, Hong Duc University, Vietnam)
Title: Betti numbers of the edge ideals of Cochordal zero divisor graphs
(This is a joint work with V. Q. Thanh.)
Abstract: We associate a sequence of positive integers, termed the type sequence, with a cochordal graph. Using this type sequence, we compute all graded Betti numbers of its edge ideal. We then classify all positive integers n such that the zero divisor graph of ℤ/nℤ is cochordal and determine all the graded Betti numbers of its edge ideal.
Le Van Dinh (FPT University, Vietnam)
Title: Invariant chains in algebra, combinatorics, and discrete geometry
Abstract: Chains of objects that remain invariant under the action of certain groups or monoids arise naturally across algebra, combinatorics, and discrete geometry. In this talk, I will discuss some results on their finiteness properties and asymptotic behavior.
Le Mau Hai (Hanoi National University of Education)
Title: Weak convergence in the class 𝒟(Ω) and of the non-polar parts of the complex Monge–Ampère measures on an open subset Ω of ℂn
Abstract: The aim of this note is to prove weak convergence in the class 𝒟(Ω) and of the corresponding non-polar part (NP)(ddc•)n of Monge–Ampère measures in the relationship with the convergence in Cn-capacity on an open subset Ω of ℂn.
Tran Nam Trung (Institute of Mathematics, VAST)
Title: Cohen-Macaulayness of Powers of Edge Ideals of Weighted Oriented Graphs
(This is a joint work with Truong Thi Hien, Jiaxin Li and Guangjun Zhu)
Abstract: An oriented graph D=(V(D), E(D)) consists of a simple underlying graph G in which each edge is oriented, i.e., it is a directed graph with no multiple edges or loops. The elements of E(D) are denoted by ordered pairs to reflect the orientation. A vertex-weighted (or simply weighted) oriented graph D is a graph equipped with a weight function ω : V(D) → ℤ>0. The pair (D,ω) is called a weighted oriented graph.
Let R=K[x1, …, xn] be a polynomial ring with n variables over a field K. Assume that V(D)={1,2,…,n}. The edge ideal of D is defined as I(D) = (xixjω(j) | (i,j)∈E(D)). We prove that its symbolic powers I(D)(t) are Cohen-Macaulay for all t ≥1 if and only if the underlying graph G is a disjoint union of complete graphs. We also characterize the Cohen-Macaulayness of the ordinary powers I(D)t for all t≥2 and provide a criterion for when I(D)t=I(D)(t).
Vu Duc Viet (University of Cologne)
Title: Bergman kernel functions associated to measures supported on totally real submanifolds
Abstract: I will talk about my recent joint work with George Marinescu on Christofell-Darboux kernel on ℂn, or more generally, Bergman kernel on compact Kähler manifolds. Applications to the equidistribution of zeros of random polynomials will also be discussed.
Program
| Time | Monday 3/11/2025 |
Tuesday 4/11/2025 |
Wednesday 5/11/2025 |
|---|---|---|---|
| 09:00–09:45 | Ngo Viet Trung | Ivan Arzhantsev | Pham Hoang Hiep |
| 09:55–10:40 | Le Van Dinh | Sergei Gaifullin | Le Mau Hai |
| 10:50–11:35 | Tran Quang Hoa | Nguyen Thi Anh Hang | Vu Duc Viet |
| Lunch | |||
| 13:30–14:15 | Sudeshna Roy | Do Van Kien | Do Trong Hoang |
| 14:25–15:10 | Toshinori Kobayashi | Le Xuan Dung | Tran Nam Trung |
| 15:20–16:05 | Kazuho Ozeki | Le Thi Thanh Nhan | Le Tuan Hoa |
Participants
- Tran Nguyen An, Thai Nguyen University of Education
- Ivan Arzhantsev, HSE University
- Tran Do Minh Chau, Thai Nguyen University of Education
- Le Van Dinh, FPT University, Vietnam
- Hoang Phi Dung, Posts and Telecommunications Institute of Technology, Vietnam
- Le Xuan Dung, Hong Duc University
- Do Thai Duong, University of Engineering and Technology, VNU, Hanoi
- Sergey Gaifullin, HSE University
- Le Mau Hai, Hanoi National University of Education
- Nguyen Thi Anh Hang, Thai Nguyen University of Education
- Nguyen Thu Hang, Thai Nguyen University of Sciences
- Pham My Hanh, An Giang University
- Truong Thi Hien, Hong Duc University
- Pham Hoang Hiep, University of Engineering and Technology, VNU, Hanoi
- Tran Quang Hoa, Hue University
- Le Tuan Hoa, Institute of Mathematics, VAST
- Do Trong Hoang, Hanoi University of Science and Technology
- Nguyen Van Hoang, University of Transport and Communications
- Nguyen Dang Hop, Institute of Mathematics, VAST
- Do Van Kien, Hanoi Pedagogical University 2
- Toshinori Kobayashi, Meiji University
- Ha Minh Lam, Institute of Mathematics, VAST
- Nguyen Cong Minh, Hanoi University of Science and Technology
- Pham Hong Nam, Thai Nguyen University of Sciences
- Nguyen Van Ninh, Thai Nguyen University of Education
- Le Thi Thanh Nhan, Institute of Mathematics, VAST
- Pham Hung Quy, FPT University, Vietnam
- Kazuho Ozeki, Nihon University
- Sudeshna Roy, Indian Institute of Technology Gandhinagar
- Nguyen Thi Thanh Tam, Hung Vuong University
- Tran Dai Tan, Institute of Mathematics, VAST
- Phan Thi Thuy, Hanoi National University of Education
- Nguyen Thi Tra, Hanoi Pedagogical University 2
- Tran Nam Trung, Institute of Mathematics, VAST
- Hoang Le Truong, University of Engineering and Technology, VNU, Hanoi
- Nguyen Bich Van, University of Engineering and Technology, VNU, Hanoi
- Vu Duc Viet, University of Cologne
- Do Hoang Viet, Institute of Mathematics, VAST
- Hoang Ngoc Yen, Thai Nguyen University of Education
