演講公告
新聞標題: ( 2017-10-13 )
演講主題:INDEX THEOREM FOR THE Z/2-HARMONIC SPINORS
主講人:楊劼之博士 (香港中文大學)
演講日期:2017 年10月24日 14:00 – 15:00
演講地點:(光復校區) 科學一館223室
茶會時間:2017 年10月24日 13:30 (科學一館205室)
摘要內容:
Abstract.
To describe the compactness theorems of PSL(2;C) connections, multiple Seiberg-Witten equation, Kapustin-Witten equation, and Vafa-Witten equation proved by Cli ord Taubes, Andriy Haydys and ThomasWalpuski, the moduli space of Z/2-harmonic spinors and its zero loci have been introduced. A Kuranishi structure and Fredholmness for the moduli space of Z/2-harmonic spinors (under some regularity assumption) was proved in 3-dimensional case. In this talk, we will sketch the linearization of this moduli space and prove the index theorem for it. Also, we will discuss the 4-dimensional index theorem by assuming the linearization of the moduli space satis es the Fredholm property.
相關檔案:talk_1061024.pdf
