Title: Local Minimizers versus Infima at Infinity
Reporter: Tien-Son Pham
Institution: Dalat University, Vietnam
Time: May 27, 2025, 15:00-16:00
Location: Tianyuan Seminar Room 4, 3rd Floor, Mathematics Building
Abstract:
Let $f \colon \mathbb{R}^n \to \mathbb{R} \cup \{\infty\}$ be a lower semicontinuous and semialgebraic function. In this talk, we give a complete characterization of the infimum value at infinity of $f$ and show some relationships between {\L}ojasiewicz exponents at infinity of $f$ for this value.
Introduction of the Reporter:
Tien-Son Pham is a Professor and Doctoral Advisor at Dalat University, Vietnam. His long-term research focuses on singularity theory, semialgebraic optimization, and variational analysis. He has published over 70 papers in top-tier optimization journals, including Mathematical Programming, SIAM Journal on Optimization, and Mathematics of Operations Research, and has authored one academic monograph. In 2020, he was awarded the Ta Quang Buu Prize by the Vietnamese Ministry of Science and Technology. Additionally, he was named one of Asia’s 100 Most Outstanding Scientists in 2021 (a prestigious annual list published by Asian Scientist Magazine since 2016, recognizing scientists who have made significant breakthroughs or received national/international awards). Currently, he serves as a member of the Scientific Council at the Vietnam Institute for Advanced Study in Mathematics.
