Title: A tale of two geometries: Riemann zeta from the p2-brane
Speaker: Bogdan Stoica
Speaker Info: Northwestern University
Brief Description: Virtual (Zoom) Talk
Meeting ID: 916 7431 9341Date: Thursday, May 13, 2021
Meeting Password: First word of the name of the seminar (in small letters)
Abstract: Ordinary bosonic string theory is a tale of two geometries, with the 26-dimensional gravitational target space emerging from the geometry of the two-dimensional string worldsheet. I will present a p-adic analogue of the bosonic string, where the worldsheet has been replaced by the "geometry" of a p-adic two-brane constructed from the Bruhat-Tits tree, building on earlier work with An Huang and Shing-Tung Yau. I will discuss restrictions arising from the time-evolution, as well as the canonical quantization procedure and connections to the Riemann zeta function. I will also explain the p-adic implications of requiring that the target is a gravitational space, which in the usual bosonic string case is the famous condition leading to the target space dimension of D = 26. Based on joint work with An Huang and Xiao Zhong.