In the report, Professor Cheng first elaborated on the difficulties and challenges faced by traditional information theory, and pointed out the importance of the reform of information theory analysis methods. Professor Houcheng introduced his work on the positive and negative proofs of the third and fourth reciprocal symbols of the information entropy level, and proposed the completely monotonic conjecture of the Gaussian distribution, pointing out the potential application of the conjecture to solving the Gaussian interference channel. Further, Professor Cheng combined with the results of Field Prize winner June Huh to show that the completely monotonic conjecture of the Gaussian distribution can be explained by the Hodge theory of algebraic geometry, and that the entropy of information can be decomposed, and the decomposition is constrained by the Hodge structure.

At the end of the lecture, Professor Cheng Fan answered the questions raised by the teachers and students present, and conducted in-depth exchanges and discussions with the teachers and students on the application of information theory 2.0 and the expansion prospects.

【About the Speaker】

Cheng Fan received his bachelor's degree from Shanghai Jiao Tong University and his Doctor's degree from Information Engineering Department of Chinese University of Hong under the supervision of Professor Raymond Yeung, a Shannon Award winner. He has been engaged in Shannon theory research and has made many progress in network coding and information inequality research.