清华主页 EN
导航菜单

Hidden algebraic structures in geometry from quantum field theory

来源: 05-26

时间:Fri., 4:00-5:00 pm May 26, 2023

地点:Zoom Meeting ID: 271 534 5558 Passcode: YMSC ; Lecture Hall, 3rd Floor Jin Chun Yuan West Bldg.

主讲人:Du Pei University of Southern Denmark

Speaker

Du Pei is currently an associate professor of quantum mathematics at the University of Southern Denmark. He obtained his Ph.D. in theoretical physics in 2016 from Caltech. His main research interests concern the geometric, algebraic and categorical properties of quantum field theory.


Abstract

The existence of quantum field theories in higher dimensions predicts many hidden algebraic structures in geometry and topology. In this talk, I will survey some recent developments where such algebraic structures lead to new insights into 1) the quantization of moduli spaces of Higgs bundles, 2) the categorification of quantum invariants of 3-manifolds, and 3) novel types of TQFTs in four dimensions.

返回顶部
相关文章
  • CMSA Algebraic Geometry in String Theory

    Upcoming talksSpeaker: Yan ZhouAffiliation: BICMRTime: April 26 (Tue) 9:30 PM - 10:30 PM (Beijing Time)Venue: https://harvard.zoom.us/j/97335783449?pwd=S3U0eVdyODFEdzNaRXVEUTF3R3NwZz09Title: Modularity of mirror families of log Calabi--Yau surfaces.Abstract: In 'Mirror symmetry for log Calabi--Yau surfaces I', given a smooth log Calabi--Yau surface pair (Y,D), Gross--Hacking--Keel constructed ...

  • Solving quantum field theory

    AbstractWe explain how to solve quantum field theories (or renormalization group flows). (We assume little preliminary knowledge; I am planning to explain in a way accessible to advanced high-school students.)SpeakerMy main research area is (conformal) quantum field theory. More concretely, I am solving renormalization group (RG) flows. In particular, I succeeded to explain symmetry enhancement...