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SUMMARY:Andrew Kobin (UC Santa Cruz)
DTSTART;VALUE=DATE-TIME:20200911T190000Z
DTEND;VALUE=DATE-TIME:20200911T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T125150Z
UID:agstanford/23
DESCRIPTION:Title: Zeta functions and decomposition spaces\nby Andrew Kobin (UC Santa
Cruz) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nZeta
functions show up everywhere in math these days. While some recent work ha
s brought homotopical methods into the theory of zeta functions\, there is
in fact a lesser-known zeta function that is native to homotopy theory. N
amely\, every suitably finite decomposition space (aka 2-Segal space) admi
ts an abstract zeta function as an element of its incidence algebra. In th
is talk\, I will show how many 'classical' zeta functions from number theo
ry and algebraic geometry can be realized in this homotopical framework\,
and outline some preliminary work in progress with Julie Bergner and Matt
Feller towards a motivic version of the above story.\n\nThe discussion for
Andrew Kobinâ€™s talk is taking place not in zoom-chat\, but at https://t
inyurl.com/2020-09-11-ak (and will be deleted after 3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/23/
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