Resurgence in string and gauge theory

Resurgence in string and gauge theory

This workshop, sponsored by AIM and the NSF, brings together expert mathematicians and physicists to define and collaborate on the forefront problems in string theory and quantum field theory for which resurgence holds promise for significant breakthroughs. Resurgence is a new universal mathematical language that extends the full power of complex analysis to the realm of divergent series, which naturally arise in perturbative string theory and quantum field theory. Resurgence builds a class of "analyzable" functions -- more general than analytic or meromorphic; and for which Borel summation, monodromy, and analytic continuation are well-defined -- assembled into a "trans-series" that encodes and unifies all perturbative and non-perturbative information.

Specific focus topics for the workshop include:

• matrix models, enumerative geometry and topological strings
• complex Chern-Simons theory, number theory and knot theory
• resurgent asymptotics of Painleve equations, with physical applications
• integrability, quantum geometry, wall-crossing phenomena
• resurgence and quantization: what is a path integral, both rigorously and computationally?

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

For more information email workshops@aimath.org

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