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Explore the intersection of multisummable functions and o-minimality in this mathematical lecture from the Workshop on Special Cycles and Related Topics. Delve into the collaborative work with Lou van den Dries demonstrating that the Gamma function, when restricted to the positive real half-axis, generates an o-minimal structure over the real field. Learn how this required proving that the expansion of the real field by all functions that are multisummable in the positive real direction maintains o-minimality. Discover the renewed interest in this mathematical structure within the context of Pila-Wilkie estimates and examine recent developments in the field. Gain insights into advanced topics in mathematical logic, model theory, and real algebraic geometry as presented by Patrick Speissegger from McMaster University at the Institute for Advanced Study.
