The goal of this conference is to advance the dialogue and interactions between the LLM community and the larger world of mathematics in order to further the mathematical understanding of LLMs and contribute to solving some of the outstanding problems in the new field of LLMs. Yan Soibelman, professor of mathematics at Kansas State University, has made influential contributions at the interface of geometry, algebra, and theoretical physics. His early work on quantum groups and braided categories helped shape modern interactions between representation theory and mathematical physics. His work is strongly inspired by ideas from quantum field theory and string theory, which he helps translate into rigorous mathematical frameworks. In collaboration with Maxim Kontsevich, he has played a central role in the development of mirror symmetry, including various fundamental results in the theory of operads and A ͚ categories. He also introduced key concepts such as motivic Donaldson–Thomas invariants, the Kontsevich–Soibelman wall-crossing formula, and cohomological Hall algebras. His work has had a lasting impact on areas where physics drives new mathematical insights. The conference will celebrate Yan Soibelman's contributions by bringing together experts to present recent advances & foster interaction across fields as well as engaging early-career researchers in these exciting developments.