On August 19, 2010 (July 10, 2010, the 26th International Congress of Mathematicians was held in Hyderabad, India. The 26th International Congress of Mathematicians by Professor Peng Shige of Shandong University will be held in Hyderabad, India from August 19 to 27, 2010. At that time, 20 mathematicians will be invited to give an hour's lecture, including academician of China Academy of Sciences and Professor Peng Shige from Shandong University. The other 12 are from the United States, two are from France, two are from Israel, one is from Russia, one is from India, and one is from Brazil. In addition, it is reported that about 160 mathematicians were invited to give a 45-minute presentation at the 2010 International Congress of Mathematicians, including the following 6 China mathematicians: 1. Fu Jixiang (Geometry Group; Fudan University)2. Cheng Chongqing (Dynamic Systems and Ordinary Differential Equations; Nanjing University)3. Chen Shuxing (Partial Differential Equations; Fudan University)4. Shao Qiman (Introduction Statistics Group; Hong Kong University of Science and Technology, Zhejiang University)5. Zhang Xu (Control and Optimization Group; Institute of Mathematics and Systems Science, China Academy of Sciences)6. Xu Zongben (Mathematics Group in Science and Technology; Xi'an Jiaotong University) The World Congress of Mathematicians (ICM for short) is the largest and highest-level event in the international mathematics community. It is held every four years. Its main content is academic exchanges and awarding the Fields Medal. As a historical tradition, each conference invites mathematicians who have made outstanding achievements in the past four years to introduce important developments in various directions in related fields. The 45-minute report of the International Congress of Mathematicians is determined by a program committee composed of a number of world-renowned mathematicians designated by the International Mathematical Union based on the major achievements and progress in international cutting-edge work in mathematical science in the past four years. Being invited to serve as the 45-minute guest speaker of the conference is usually regarded as a high honor for a mathematician, which means that his research work has been internationally recognized. Peng Shige, male, Han nationality, was born in Binzhou, Shandong Province in December 1947. He is a member of the Communist Party of China, director of the Institute of Mathematics of Shandong University, president, professor and doctoral supervisor of the Institute of Finance of Shandong University. Ph. D. in Mathematics and Automation at the University of Paris IX, France, Ph. D. in Applied Mathematics at the University of Prussia, and a postdoctoral fellow at Fudan University. In 1992, he was awarded the French "Leadership Research Qualification" certificate. In 1999, he was awarded the first batch of specially appointed professors in the "Yangtze River Scholars Award Program" of the Ministry of Education. In 1994, he was independently awarded the first prize of the National Education Commission's Science and Technology Progress Award. In 1995, he was independently awarded the second prize of the National Natural Science Award. In 1996, he was awarded the Outstanding Young Scholar Award from the Qiushi Science and Technology Foundation. In 1997, he was awarded the National Outstanding Returned Overseas Student Award from the State Education Commission and the Ministry of Personnel. In 1998, he was awarded the Ministry of Education. The Ministry of Personnel was awarded the title of National Model Worker in the Education System. In 2003, he won the highest science and technology award in Shandong Province. Professor Peng Shige has served as a member of the "Mathematical Research and Higher Talent Training Center" for Higher Mathematics of the National Education Commission, a member of the Academic Leadership Group of the 3rd Mathematics Tianyuan Fund, a member of the 5th Subject Mathematics Review Group of the Academic Degrees Committee of the State Council, and an editorial member of the fifth Editorial Committee of "System Science and Mathematics"; currently serving as an editorial member of the Annual Mathematics and deputy editor-in-chief of the Journal of Applied Mathematics.