Speaker: An Huang (Brandeis University)
Time: 2025-07-09 16:00
Location: R1610, SIMIS
Zoom Meeting ID: 884 9910 0383 (Passcode: 627982)
Abstract:
In the late 80’s, Zabrodin proposed a p-adic string worldsheet action on a Bruhat-Tits tree, and derived an equivalent action on the asymptotic boundary of the tree. We explore a family of deformations of this action preserving global conformal symmetry, which turns out to be related to the classical Tate’s thesis in number theory. We shall then propose a genus one version of this worldsheet action on the Tate curve, by defining a Laplacian operator on the Tate curve. We explain the computation of the Green’s function in this context, and note the similarities to the Archimedean case. Finally, we propose an idea to study the spectrum of p-adic strings, and compute its high energy density of states. Perhaps somewhat unexpectedly, to the leading order, the density qualitatively resembles the Archimedean case.
About Speaker:
An Huang is an Associate Professor at Brandeis University, and currently a Visiting Professor at SIMIS. He graduated from UC Berkeley under the supervision of Professor Richard Borcherds. Prior to joining Brandeis, he held a postdoctoral position at Harvard. His areas of research range between mathematical physics, algebraic geometry, and number theory. In particular, he currently works on p-adic string theory. He is also interested in analysis on graphs.
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