| Speaker: |
Tianyu Yuan (Eastern Institute of Technology, Ningbo, China) |
| Title: |
Morse theory on symmetric products and quantized nonabelianization |
| Date (JST): |
Tue, Mar 03, 2026, 15:30 - 17:00 |
| Place: |
Seminar Room A |
| Abstract: |
We introduce folded Morse flow trees, which provides a Morse theory on symmetric products with bulk deformation. First we show that a local computation recovers finite Hecke algebras. Then we show its relation to quantized nonabelianization: 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.
|
