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SUMMARY:Mahler measure and manifolds [MPIM]
DTSTART:20260122T140000Z
DTEND:20260122T150000Z
DTSTAMP:20260420T162000Z
UID:indico-event-1016@math-events.uni-bonn.de
DESCRIPTION:Speakers: Lola Thompson (Utrecht University/MPIM)\n\nMPI-Obers
 eminar\nWe will discuss how Mahler measure and related concepts (e.g.\, Sa
 lem numbers) are connected to problems about lengths of geodesics onarithm
 etic hyperbolic manifolds. As a result\, by solving problems using tools f
 rom analytic number theory\, we are able to answer quantitative questions 
 in spectral geometry.\nThis talk will build towards two goals: (1) determi
 ning the proportion of Salem numbers produced by certain arithmetic hyperb
 olic lattices\; (2) showing that\, on average\, geodesic lengths of non-co
 mpact arithmetic hyperbolic orbifolds appear with high multiplicity. This 
 talk is based on joint work with various subsets of the following co-autho
 rs: Mikhail Belolipetsky (IMPA)\, Michelle Chu (U. Minnesota)\, Matilde La
 lín (U. Montréal)\, Plinio G. P. Murillo (U. Federal Fluminense)\, and O
 tto Romero (CIMAC).\n\nhttps://math-events.uni-bonn.de/event/1016/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1016/
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