Quantum differential equations and helices

Abstract

These notes partly touch the topic of the talk given by the author at the XXXVIII Workshop on Geometric Methods in Physics, hold in June-July 2019 in Biaowie\.za, Poland. They consist of a short and self-contained introduction to the isomonodromic approach to quantum cohomology, and Dubrovin's conjecture. An overview of recent results obtained in joint works with B. Dubrovin and D. Guzzetti (arXiv:1811.09235), and A. Varchenko (arXiv:1909.06582) is given.

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