Tau function, topological string and spectral theory

24 Jan 2024, 19:00
30m
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Qianyu Hao (Universite de Geneve (CH))

Description

Tau function not only is the essential object in the study of integrable system in mordern mathematics but also plays important role in physics; they correspond to the (chiral) conformal blocks. I will talk about our work on an application of tau function to study the physics, which is to prove a special limit of the conjectured topological string/ spectral theory (TS/ST) correspondence. I will introduce the TS/ST correspondence and the particular scaling limit we are taking. In particular, we focus on $Y^{N,0}$ geometry. Tau function is an important tool we use in the proof. And in turn, the proved duality helps us to obtain the strong coupling expression for the tau function itself.

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