中科院数学与系统科学研究院
数学研究所
数学物理研讨班
报告人：Dr. Sarthak Parikh (California Institute of Technology)
题 目：Non-Archimedean Holography
时 间：2020.12.25（星期五）, 09:30-10:30
地 点：数学院南楼N205
Zoom会议：651 0143 6989 密码：582434
摘 要：Holography (or the Anti-de Sitter/Conformal Field Theory correspondence) is one of the most mysterious conjectural dualities in theoretical physics, which states that certain theories of gravity in Anti-de Sitter or Hyperbolic space should be equivalent to certain Conformal Field Theories in one less dimension. My talk will be about a new approach to holography via non-Archimedean geometry. I will first give a review of holography for Archimedean geometry and then describe a non-Archimedean analog which naturally leads to a simple, discrete model for holography on Bruhat-Tits trees. I will also discuss the possibility of generalizing this construction to richer analytic p-adic spaces, particularly the Berkovich projective line.
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