分野別セミナー

本セミナーはIMI Colloquiumとの合同開催です。
　　　　　　
■講演タイトル
Talk 1:Recent Developments in Vietnam's Mathematics and Emerging Opportunities for Vietnam-Japan Collaboration
Talk 2:Modular Invariant Theory for Polynomial Rings mod Frobenius Powers

■講演要旨：
○Talk 1:Recent Developments in Vietnam's Mathematics and Emerging Opportunities for Vietnam-Japan Collaboration

Abstract: Vietnam's mathematics has experienced substantial growth, particularly accelerated by recent strategic policies.
Following the successful National Program for Development of Mathematics - NPDM (2010-2020) which established VIASM
and created foundational infrastructure, Vietnam launched the National Program for Development of Mathematics (2021-2030).
This program sets ambitious targets including five universities in the world's top 500 for mathematics by 2030, doubling
international publications, and training 400 PhDs with emphasis on applied and industrial mathematics.
Most significantly, the Politburo's Resolution No. 57-NQ/TW (December 2024) on breakthroughs in science, technology, innovation,
and national digital transformation positions science and technology as decisive factors for national development. This landmark resolution establishes strategic human resource development in mathematics as a national priority, with targets including R&D
spending reaching 2% of GDP and the digital economy contributing 30% of GDP by 2030. Resolution 57 emphasizes mathematics
as fundamental infrastructure for Vietnam's transformation into an innovation-driven economy.
The research landscape demonstrates growing domestic capacity alongside robust international collaboration, with Japan emerging
as a key partner. Within the Vietnam-Japan Comprehensive Strategic Partnership (November 2023), which designates science and technology cooperation as a foundational pillar, promising collaboration opportunities include joint research programs in applied
and computational mathematics, AI and data science, scholarly exchanges, co-hosted conferences, mathematical modeling for
regional challenges, and capacity building aligned with Industry 4.0 requirements.
This talk makes the case that strengthening Vietnam-Japan mathematical collaboration is both urgent and achievable, and
proposes concrete mechanisms to accelerate partnership across research, training, and applied mathematics.

○Talk 2:Modular Invariant Theory for Polynomial Rings mod Frobenius Powers

Abstract: We will explain our solution to conjectures due to Lewis, Reiner, and Stanton concerning the Hilbert series of the invariant
ring of a polynomial algebra modulo Frobenius powers, and discuss its consequences. This is joint work with Nguyen D. H. Hai,
Nguyen V. Nghia, and Le X. Hoang.