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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Resurgence, BPS structures and topological string S-duality

## Resurgence, BPS structures and topological string S-dualityAdd to your list(s) Download to your calendar using vCal - Murad Alim (Universität Hamburg)
- Tuesday 03 October 2023, 11:00-12:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. BLHW01 - Number theory, machine learning and quantum black holes The partition function of topological string theory is an asymptotic series in the topological string coupling and provides in a certain limit a generating function of Gromov-Witten (GW) invariants of a Calabi-Yau threefold. I will discuss how the resurgence analysis of the partition function allows one to extract Donaldson-Thomas (DT) or BPS invariants of the same underlying geometry. I will further discuss how the analytic functions in the topological string coupling obtained by Borel summation admit a dual expansion in the inverse of the topological string coupling leading to another asymptotic series at strong coupling and to the notion of topological string S-duality. This S-duality leads to a new modular structure in the topological string coupling. I will also discuss relations to difference equations and the exact WKB analysis of the mirror geometry. This is based on various joint works with Lotte Hollands, Arpan Saha, Iván Tulli and Jörg Teschner as well as on work in progress. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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