Project's information

Project's title Interdisciplinary study of singularity theory, hyperplane arrangements and 3- and 4-dimensional manifolds
Project’s code QTJP01.02/21-23
Research hosting institution Institute of Mathematics
Coordinating unit, co-chair Japan Society for the Promotion of Science, Japan
Project leader’s name Nguyen Tat Thang and Masaharu Ishikawa
Project duration 01/06/2021 - 30/06/2024
Project’s budget 300 million VND
Classify Excellent
Goal and objectives of the project
Study some problems in singularity theory, hyperplane arrangements and low dimensional topology; advising several master and PhD students in the related fields.

 
Main results

Research:
- Give a formula for the Milnor number of the singularity of complex analytic mappings in terms of the mixed volume of the Newton polytopes of the component functions.

- Describe the motivic Milnor fiber of the rational functions, state a formula for the monodromy zeta functions in terms of the resolution of the singularity.

Training: The project partly contributes to the study of one master student and one PhD student. One master thesis was successfully defended. Young reasearchers from the Institute of Mathematics and from Japan have opportunity to collaborate, discuss and give talks in the conference held in the framework of the project. 


Cooperation: New collaboration between young mathematicians from the Institute of Mathematics, VAST and from Japan has been setting up. There are more Japanese mathematicians visiting Vietnam when the project complete. 
Novelty and actuality and scientific meaningfulness of the results
There are new results to be published in 02 journals of high ranking.
Products of the project

- Publications:
Tat Thang Nguyen,Uniform stable radius and Milnor number for non-degenerate isolated complete intersection singularities,Manuscripta Math. 168 (2022), no. 3-4, 571–589. (Q2-Scimago, danh mục tạp chí uy tín của HĐCDGSNN)

Tat Thang Nguyen, Kiyoshi Takeuchi, Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito),Rev. Mat. Complut. 36 (2023), no. 2, 663–705. (Q1-Scimago)
Recommendations
We would like to ask for a similar bilateral project in the nearest possible occasion.
Images of project
1738550613930-1b625be686143f4a6605.jpg