中科院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
拓扑研讨班
Speaker: 袁天宇 (宁波东方理工)
Inviter: 何思奇
Language: Chinese
Title：Quantized nonabelianization via higher-dimensional Heegaard Floer homology and folded Morse flow trees
Time&Venue：2025年9月24日(星期三) 14:30-15:30&南楼N820
Abstract: Gaiotto-Moore-Neitzke introduced the notion of spectral network in the study of supersymmetric gauge theory. It provides a way to define a nonabelianization map (UV-IR map) from gl(1) local systems on a spectral curve to gl(N) local systems on the base surface. Neitzke-Yan considered a quantization of this map between skein algebras. In this work, we consider a different quantization in the sense of braid skein algebras using both Floer and Morse approach. This is joint work with Ko Honda and Yin Tian.
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