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SUMMARY:Andrew Kobin (Emory University)
DTSTART:20220404T213000Z
DTEND:20220404T220000Z
DTSTAMP:20260423T021220Z
UID:POINT/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/45/">Z
 eta functions and decomposition spaces</a>\nby Andrew Kobin (Emory Univers
 ity) as part of POINT: New Developments in Number Theory\n\n\nAbstract\nZe
 ta functions show up everywhere in math these days. While some work in the
  past has brought homotopical methods into the theory of zeta functions\, 
 there is in fact a lesser-known zeta function that is native to homotopy t
 heory. Namely\, every suitably finite decomposition space (aka 2-Segal spa
 ce) admits an abstract zeta function as an element of its incidence algebr
 a. In this talk\, I will show how many 'classical' zeta functions from num
 ber theory and algebraic geometry can be realized in this homotopical fram
 ework\, and briefly advertise some work in progress with Bogdan Krstic tow
 ards a motivic version of the above story.\n
LOCATION:https://researchseminars.org/talk/POINT/45/
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