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SUMMARY:Daniel Litt (Georgia)
DTSTART:20210409T143000Z
DTEND:20210409T160000Z
DTSTAMP:20260423T004656Z
UID:CAFAS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAFAS/23/">S
 ingle-valued Hodge\, p-adic^2\, and tropical integration</a>\nby Daniel Li
 tt (Georgia) as part of Columbia Automorphic Forms and Arithmetic Seminar\
 n\n\nAbstract\nI'll discuss 4 different types of single-valued integration
  on algebraic varieties -- one in the complex setting\, one in the tropica
 l setting\, and two in the p-adic setting\, and the relationships between 
 them. In particular\, I'll explain how to compute Vologodsky's "single-val
 ued" iterated integrals on curves of bad reduction in terms of Berkovich i
 ntegrals\, and how to give a single-valued integration theory on complex v
 arieties. Time permitting\, I'll explain some potential arithmetic applica
 tions. This is a report on joint work in progress with Sasha Shmakov (in t
 he complex setting) and Eric Katz (in the p-adic setting).\n
LOCATION:https://researchseminars.org/talk/CAFAS/23/
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