Spectral Theory, Algebraic Geometry, and Strings

Recent work by physicists has uncovered a conjectural relationship between the enumerative invariants of noncompact Calabi-Yau geometries and the spectra of quantum curves. In certain limits, this connection may be recast in terms of zeroes and limits of higher normal functions, which are generalized periods arising from algebraic K-theory. Other interpretations and applications abound, in contexts ranging from integrable systems to resurgence theory. This workshop will be the first time that an interdisciplinary group of researchers working on this topic from various perspectives has been convened. The organizers expect it to generate new insights and new research liaisons among the attendees.