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SUMMARY:Damien Tageddine (McGill University)
DTSTART:20241211T200000Z
DTEND:20241211T210000Z
DTSTAMP:20260420T052725Z
UID:NYC-NCG/183
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/183/
 ">Noncommutative geometry on the Berkovich projective line</a>\nby Damien 
 Tageddine (McGill University) as part of Noncommutative geometry in NYC\n\
 n\nAbstract\nThe Berkovich projective line is an analytic space over a non
 -Archimedean field. It can also be constructed as an inverse limit of fini
 te rooted trees. \nWe find how to associate $C^*$-algebras generated by pa
 rtial isometries to the Berkovich line. This allows us to construct severa
 l spectral triples on this space. \nFinally\, we show that invariant measu
 res\, such as the Patterson-Sullivan measure\, can be obtained as certain 
 KMS-states of the crossed product algebra with a subgroup of $PGL_2(C_p)$.
 \n\nThis is a joint work with Masoud Khalkhali.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/183/
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