Geometry & Topology Seminar

Recent development about BPS q-series

  • 演讲者:Satoshi Nawata (复旦大学)

  • 时间:2021-10-25 15:00-16:00

  • 地点:深圳国际数学中心 201

Abstract

From physics perspective, Gukov(-Pei)-Putrov-Vafa have introduced a non-perturbative definition of complex Chern-Simons invariants of a 3-manifold, which is called BPS q-series. Although its mathematical definition is not given yet, it exhibit remarkable mathematical properties: (non-semisimple) TQFT structure, modularity, cyclotomic expansions. In this talk, I will survey the recent development of the BPS q-series.