Talk at the International Workshop on Structural AI – Shanghai

Prof. Olivia Caramello, Coordinator of the Centre for Topos Theory and its Applications (CTTA), gave an invited lecture at the recent International Workshop on Structural AI (Shanghai, 13-16 June 2025) organized by Prof. Andrew Yao, winner of the Turing Award and founder of the Qi Zhi Institute (which hosted the event) and his colleague Yang Yuan from Tsinghua University.

The conference explored the crucial role of structural approaches in the development of future artificial intelligence, bringing together experts from different fields – from mathematics to software engineering and from biology to robotics.

The conference focused on the strategic role of structured models in improving fundamental aspects of AI, such as transparency, verifiability and security.

In his presentation, Caramello provided a conceptual introduction to the theory of relative toposes, currently developed by CTTA, illustrating its relevance for designing new forms of artificial learning capable of operating on multiple layers of abstraction and integrating different levels of representation and analysis.