Multiple Zeta Values
演讲者
时间
2025年05月08日 12:15 至 13:00
地点
A4-1
摘要
Multiple zeta values (abbreviated as MZV's), or sometimes called Euler-Zagier sums, are important objects at the interface of different fields of mathematics and physics spanning from analysis, number theory, geometry to perturbative quantum field theory. In this talk, we explore this world of MZV's with an emphasis on their analytic aspects such as linear relations and identities involving different families of multiple zeta values. Moreover, we state and give some insights of important conjectures that will give us a better understanding of these linear relations among MZV's.
演讲者介绍
Cezar Lupu obtained his PhD degree from the University of Pittsburgh in 2018 with a thesis on special values of Riemann zeta and multiple zeta functions under the supervision of Piotr Hajlasz and William C. Troy. Between 2018-2021, he was a postdoctoral scholar at Texas Tech University under the mentorship of Razvan Gelca and Dermot McCarthy. In 2021, he moved to China as a postdoctoral fellow at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and Tsinghua University under the mentorship of Shing-Tung Yau until 2024. His main research interests are in the areas of number theory, analysis and special functions. Most of his recent research is centered around special values of L-functions and multiple zeta functions which play an important role at the interface of analysis, number theory, geometry and physics. He taught numerous courses at Pitt and TTU both undergraduate and graduate ranging from calculus and linear algebra to abstract algebra and real analysis. Also, he coached the best undergraduate students for the William Lowell Putnam Mathematical Competition. After moving to China, he taught courses at the Qiuzhen College, Tsinghua University. Together with other colleagues from Tsinghua University, he is organizing the Shadow Putnam Mathematical Competition at the Qiuzhen College. Moreover, starting 2023, he is the academic director of the International Mathematics Summer Camp (IMSC).