Date | Dec 16, 2022 |
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Speaker | 권상훈 |

Dept. | 카톨릭관동대 |

Room | 27-325 |

Time | 15:30-16:30 |

We investigate the behavior of zeta functions of infinite graphs of groups which are quotients of cuspidal tree-lattices. This includes every non-uniform arithmetic quotient of the tree of $PGL_2$ over local fields. Several examples of zeta functions are provided. In particular, we give pairs of non-isomorphic cuspidal tree-lattices which have the same Ihara zeta function and investigate the spectral behavior of a sequence of graphs of groups constructed in Efrat (1990) from a zeta function point of view. We will also discuss the case of complexes of groups arising as a standard arithmetic quotient of the building for $PGL_3$.

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