Director of the Advanced Wireless Technology Lab, Paris
9th February 2022, 5:00pm – 6:00pm (GST)
Semantic Information I : From the set-theoretic approach to Grothendieck Toposes
After having introduced why we need nowadays the notion of semantic information and communication, we go back to the 1952 seminal paper of Carnap and Bar Hillel, “An outline of a theory of semantic information” and give our own interpretation of it. It is based on the notion of language, which is, in their case, propositional and Boolean. We show how more interesting new words, new sentences can pop up from this situation by considering a non-set-theoretic interpretation of it based on the topos of G-sets where G is a group of permutations that can be seen as a Galois group. We will also give another example based on a hierarchical language where the group in Carnap and Bar Hillel is replaced by a poset and the topos of G-set by a so-called localic topos.
Jean-Claude Belfiore graduated from Supelec, got his PhD from Telecom Paris and the Habilitation from Université Pierre et Marie Curie (UPMC). He has been a professor at Telecom Paris in the Communications & Electronics department until 2015. In 2015, he joined the Mathematical and Algorithmic Sciences Lab of Huawei as head of the Communication Science Department. 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 Jean-Claude Belfiore has joined Huawei Paris Research Center, he has been involved in the 5G standardization process, essentially in Channel Coding (Polar Codes for 5G) and he is currently working in the area of AI for 6G and semantic information. Since 2021 he is the director of the Huawei Advanced Wireless Technology Lab, Paris.