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SUMMARY:Marco Maculan (Paris Sorbonne)
DTSTART:20200513T120000Z
DTEND:20200513T130000Z
DTSTAMP:20260423T010944Z
UID:AGSeminar/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSeminar/9/
 ">Affine vs. Stein varieties in complex and rigid geometry</a>\nby Marco M
 aculan (Paris Sorbonne) as part of Sapienza A&G Seminar\n\n\nAbstract\nSer
 re’s GAGA theorem states that\, on a projective complex variety\, holomo
 rphic objects (functions\, vector bundle and their sections\, etc.) are al
 gebraic. Without compactness hypothesis this is not true. Yet\, one may wo
 nder whether a variety that can be embedded holomorphically into an affine
  space\, can be embedded therein algebraically. A classical example of Ser
 re shows that the answer is negative.\n\nIn an ongoing joint work with J. 
 Poineau\, we investigate what happens when one replaces the complex number
 s by the p-adic ones. Despite the formal similarities between the correspo
 nding analytic theories\, the p-adic outcome is somewhat surprising.\n
LOCATION:https://researchseminars.org/talk/AGSeminar/9/
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