Abstract: With the explosion of data, evolution of 5G networks towards 2020-2030 will be mostly based on machine learning techniques. They provide the first era of intelligent networks which we call learning networks. The second era of beyond 5G Intelligent network for the period 2030-2040 are networks which are able to think. This requires new advanced mathematical tools which go beyond the perceptual framework of machine learning now. This can be done by linking the topology of perception and the logic of thinking using category theory and its deeper notion of topos invented by Alexandre Grothendieck at IHES in the 60’s. As a bonus, this intriguing connection makes the notion of semantics appear naturally. Can we finally now start to build the foundations of semantic communication evoked by Shannon and Weaver in the early 50’s?

Jean-Claude Belfiore graduated from Supelec, France, got a PhD from Telecom ParisTech and the Habilitation (HdR) from Université Pierre et Marie Curie (UPMC). Until 2015, he was with Telecom ParisTech as a full Professor in the Communications & Electronics department. In 2015, he joined the Mathematical and Algorithmic Sciences Lab of Huawei.

Jean-Claude Belfiore has made pioneering contributions on modulation and coding for wireless systems (especially space-time coding) by using tools of number theory. He is also one of the co-inventors of the celebrated Golden Code of the Wi-Max standard.

Jean-Claude Belfiore is author or co-author of more than 200 technical papers and communications and has served as advisor for more than 30 Ph.D. students.

He was Associate Editor of the IEEE Transactions on Information Theory for Coding Theory and has been the recipient of the 2007 Blondel Medal.

Since November 2015, Jean-Claude Belfiore has joined the Paris Research Center of Huawei Technologies where he leads a Department. He has been involved in the 5G standardization process, essentially for the Channel Coding track (Polar Codes for 5G).

He now participates in the definition of 6G. Among other areas, he also has in Huawei an activity related to the foundations of Artificial Intelligence.