5月26日，第六期“自然科学杰出演讲系列讲座”在线上举行。本次讲座特邀中国科学院院士、山东大学教授彭实戈，以“Distributional Uncertainty of Data and the Corresponding Limit Theorems in Nonlinear Expectation Theory”为题为广大师生带来一场高质量高水平的学术报告。本次学术报告由自然科学研究院院长金石教授主持，来自数学科学学院、物理与天文学院、致远学院以及海内外其他高校的400余名师生在线参会。
On May 26, the sixth “Distinguished Lecture in Natural Sciences” was held as scheduled online. Shige Peng, an academician of the Chinese Academy of Sciences and a professor of Shandong University, was invited to deliver a high-quality and high-level academic report on “Distributional Uncertainty of Data and the Corresponding Limit Theorems in Nonlinear Expectation Theory “ for the teachers and students. This lecture was chaired by Professor Shi Jin, Director of the Institute of Natural Sciences. More than 400 teachers and students from the School of Mathematical Sciences, the School of Physics and Astronomy and Zhiyuan College from SJTU, and other domestic and overseas universities participated in the online conference.
This talk mainly introduced the nonlinear expectation theory in the case of uncertain data distribution. Academician Shige Peng first introduced the concept of independent and identically distributed random variables in nonlinear expectation spaces, explained the nonlinear normal distribution and its related partial differential equations, and the applications in some financial problems. In addition, as a leading expert in the field of applied mathematics, Academician Shige Peng shared the recent research results on the limit theorems for nonlinear probability with the participating teachers and students, which greatly aroused their interests. In the Q & A session of the lecture, Academician Shige Peng patiently answered the questions from teachers and students, and had an in-depth discussion with the participants online.
Bio： Shige Peng, mathematician, academician of the Chinese Academy of Sciences, professor of the School of Mathematics, Shandong University, dean of the Taishan College of Shandong University. In 1999, he was selected as the first batch of specially-appointed professors of the Changjiang Scholars Award Program by the Ministry of Education. In 2005, he was elected as an academician of the Chinese Academy of Sciences. In 2007, he was appointed as the Chief Scientist of the National Ministry of Science and Technology 973 Program “Quantitative Analysis and Calculation in Financial Risk Control”. He won the Chen Jiageng Science Award in 2008. In 2009, led by him, the “Finance-Mathematics Interdisciplinary Talent Training Experimental Area” declared by Shandong University was approved. At the International Conference of Mathematicians held in Hyderabad, India in August 2010, Academician Shige Peng was invited to give a one-hour plenary lecture and was the first mathematician in mainland China to receive this honor. In 2011, he won the Tenth Hua Luogeng Mathematics Award. In the same year, he was appointed by Princeton University as one of the three “2011-2012 Princeton Global Scholars “.
Academician Shige Peng is known as “ The first person in financial mathematics in China “. He has long been devoted to the study of random control, financial mathematics and probability statistics. “Peng General Principle”, “Peng Maximum Principle” named after Academician Peng Shige and “ Pardoux -Peng equation “ created by him and French mathematician Professor Pardoux, have gained a high international reputation in the field of stochastic analysis, stochastic control and financial mathematics, and have become an important tool for studying the pricing of financial products.