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SUMMARY:Ben Bakker (Georgia Tech)
DTSTART:20210126T190000Z
DTEND:20210126T200000Z
DTSTAMP:20260423T024746Z
UID:AG-Davis/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/17/
 ">Hodge theory and o-minimality</a>\nby Ben Bakker (Georgia Tech) as part 
 of UC Davis algebraic geometry seminar\n\n\nAbstract\nThe cohomology group
 s of complex algebraic varieties come equipped with a powerful but intrins
 ically analytic invariant called a Hodge structure. Hodge structures of ce
 rtain very special algebraic varieties are nonetheless parametrized by alg
 ebraic varieties\, and while this leads to many important applications in 
 algebraic and arithmetic geometry it fails badly in general. Joint work wi
 th Y. Brunebarbe\, B. Klingler\, and J. Tsimerman remedies this failure by
  showing that parameter spaces of Hodge structures always admit "tame" ana
 lytic structures in a sense made precise using ideas from model theory. A 
 salient feature of the resulting tame analytic geometry is that it allows 
 for the local flexibility of the full analytic category while preserving t
 he global behavior of the algebraic category.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/17/
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