Abstract: The talk will describe how spectral theory, geometry of graphs, and dynamical systems are used to analyze spectral properties of the random walk generator on finitely ramified self-similar graphs and fractals. In particular, pure point or singular continuous spectrum appears naturally for such graphs. The standard examples include the Sierpinski triangle, the Vicsek tree, and the Schreier graphs of the Hanoi self-similar group studied by Grigorchuk and Sunic. A more complicated example is related to the Basilica Julia set of the polynomial z^2-1 and its Iterated Monodromy Group, defined by Nekrashevych. Its spectrum was investigated numerically by Strichartz et al and analytically in a joint work with Luke Rogers and several students at UConn.
Coffee & Tea served at 3:45 pm.
Talk begins at 4:15 pm.
Full schedule of speakers can be found here: http://www.physics.sunysb.edu/Physics/colloquium/2019/
Movies: To watch the recorded movies, please read the instructions here.
Title: Gravitational anomalies in nAdS_2/nCFT_1
Abstract: I will discuss some recent work in the framework of nAdS_2/nCFT_1, based on 1911.11434. We revisit the holographic description of the near-horizon geometry of the BTZ black hole in AdS_3 gravity with a gravitational Chern Simons term included. A dimensional reduction of this theory allows us to investigate the relation between UV and IR data, and in particular where inside the CFT_2 the nCFT_1 sits.