Invitation to Recursion, Resurgence and Combinatorics
We are delighted to welcome you to our OIST school and workshop. One of the main objectives of OIST Graduate University is to bring together excellent scientists from around the world and to provide a venue for the exchange of innovative ideas. It is our pleasure to offer you support for your travel and stay in Okinawa.
Resurgence, broadly speaking, is a resummation technique to capture non-perturbative effects from asymptotic series in quantum field theories. Resurgence has a close link with Stokes phenomena, wall-crossing phenomena, BPS structures, space of stability conditions, and algebro-geometric invariants.
- Tensor models are the combinatorial side of the triangle. Their Feynman diagrams providing a natural discretization of piecewise-linear manifolds, they have been developed as an approach to quantum gravity in more than two dimensions. Their solvability at leading order has ties with non-trivial (melonic) CFTs, the SYK model, but they are also related to data analysis, quantum information, random geometry, turbulence, etc.
- Topological recursion is a powerful recursive formalism to compute a variety of invariants in mathematical physics. Although it originated from the study of Hermitian matrix models, it has been applied to enumerative geometry, topological string theory, integrable systems, WKB analysis, vertex operator algebras, and more.
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