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SUMMARY:Interrogating length spectra and quantifying isospectral finitenes
 s.
DTSTART:20161109T161500
DTEND:20161109T173000
DTSTAMP:20260407T111744Z
UID:f7449604ca2ddff04ee68a49d47d2bf0243545d6ba2700f8103c3da7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Hugo Parlier (Fribourg)\nAssociated to a closed hyperbolic sur
 face is its length spectrum\, the set of the lengths of all of its closed 
 geodesics. Two surfaces are said to be isospectral if they share the same 
 length spectrum. There are different methods to produce surfaces that are 
 isospectral but not isometric\, the most successful one based on a techniq
 ue introduced by Sunada.\n\nThis talk will be about giving quantitative an
 swers to the following questions:\n\n- How many “questions" do you need 
 to ask to determine a length spectrum?\n\n- In a given genus how many diff
 erent surfaces can be isospectral but not isometric?\n\nThe approach to th
 ese questions will include finding adapted coordinate sets for moduli spac
 es and exploring McShane type identities.
LOCATION:
STATUS:CONFIRMED
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