Section de mathématiques,
Rue du Conseil-Général 7-9
1205 Genève, Switzerland
Zhihao Duan: zhihao [dot] duan [at] unige [dot] ch
Matijn François: matijn [dot] francois [at] unige [dot] ch
These seminars at the section of mathematics of the university of Geneva cover a range of topics at the intersection of mathematics and modern theoretical physics.
Each session features a one-hour talk followed by a brief discussion and questions session.
The seminars take place biweekly on Fridays, at 14:00 in room 8-08 of the maths building.
Abstract: Perturbative series in topological string theory such as those of free energies are divergent. Their complete description requires non-perturbative corrections which are related to the perturbative series by Stokes transformations. We calculate these non-perturbative corrections as well as the associated Stokes constants using resurgence theory and extended holomorphic anomaly equations, based on which we observe and conjecture that the Stokes constants coincide with the BPS invariants of the underlying type II superstring. We support our conjecture with evidence from models of compact CYs and local CYs where very non-trivial BPS invariants could be reproduced, as well as examples of dual supersymmetric gauge theories, where sometimes the entire BPS spectrum could be generated by monodromy arguments. Wall-crossing of Stokes constants will also be mentioned.
UNUSUAL TIME: Thursday
Abstract: TBA
Abstract: TBA