From August 10 to 15, the 17th National Conference on Algebra was grandly convened at Harbin Engineering University. Professor Hu Yonggang from our institute was invited to attend the conference and delivered an academic presentation at the sub-forum on Ring and Homological Algebra.

Professor Hu Yonggang's presentation, titled “Extension Subcategories of Wide Subcategories in Abelian Categories,” systematically reviewed key arguments and cutting-edge developments concerning extension subcategories in triangular and abelian categories. He focused on the extension structure of wide subcategories in abelian categories, extending the work of Japanese scholar Yoshizawa and proposing a criterion for determining whether a filtered subcategory can be decomposed into the extension of two filtered subcategories. The presentation sparked active discussions among fellow attendees.

The National Conference on Algebra was established in 1982 and stands as the premier academic gathering in China's algebraic community. This edition featured one invited talk, ten plenary lectures, and over 150 parallel sessions, collectively showcasing the latest research trends in algebra. As a core branch of modern mathematics, algebra not only serves as the cornerstone of theoretical innovation but also provides essential mathematical foundations for cutting-edge fields such as cryptography, computer science, and quantum physics.

This conference brought together numerous leading scholars in algebra from China and abroad for in-depth discussions on cutting-edge topics including representation theory and homological algebra, algebraic geometry and number theory, and Lie theory and quantum groups. Professor Hu Yonggang engaged in fruitful exchanges with colleagues from peer institutions on frontier issues and research methodologies in algebraic representation theory, gaining valuable insights.