糖果派对

Speaker: Yuya Murakami (Tohoku University)

Abstract:

In this talk, I will present my recent work (https://arxiv.org/abs/2302.13526) which proves Gukov-Pei-Putrov-Vafa's conjecture that the Witten-Reshetikhin-Turaev invariants are radial limits of homological blocks, which are q-series introduced by them for plumbed 3-manifolds with negative definite linking matrices. I will discuss three techniques in our proof: (1) An asymptotic formula of infinite series; (2) Comparison of asymptotic expansions; (3) To prove vanishing of asymptotic coefficients by "pruning" plumbed graphs.