20/07/2016, 11:30 — 12:30 — Anfiteatro Ea1, Torre Norte (Electricidade)
Yasuyuki Hatsuda, University of Geneva

Resummation Problems and Nonperturbative Corrections

I will present some remarks on resummation problems in two-parameter expansions. In the first part, I will start with a simple example, known as the Faddeev (or non-compact) quantum dilogarithm, and discuss its (Borel) resummation. I will explain how nonperturbative corrections appear in this case. In the second part, I will report our recent result on an exact version of the Bohr-Sommerfeld quantization conditions for the relativistic Toda lattice in terms of topological invariants for certain local Calabi-Yau threefold. It turned out that these quantization conditions have the very similar structure to the quantum dilogarithm.

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R-hatsuda.pdf