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SUMMARY:Ritvik Ramkumar (UC Berkeley\, CA\, USA)
DTSTART:20211015T140000Z
DTEND:20211015T150000Z
DTSTAMP:20260423T052333Z
UID:VCAS/104
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/104/">A
 n invitation to the fiber-full scheme</a>\nby Ritvik Ramkumar (UC Berkeley
 \, CA\, USA) as part of IIT Bombay Virtual Commutative Algebra Seminar\n\n
 \nAbstract\nI will introduce the fiber-full scheme which can be seen as th
 e parameter space that generalizes the Hilbert and Quot schemes by control
 ling the entire cohomological data. In particular\, given a sequence of fu
 nctions $(h_0\,..\,h_n)$ the fiber-full scheme parameterizes subschemes $X
 $ of $P^n$ satisfying dim $H^i(X\,O_X(v)) = h_i(v).$ In this talk I will s
 ketch the construction of the fiber-full scheme and describe some examples
  associated with classical Hilbert schemes. I will also discuss various fu
 ture directions one can pursue. This is joint work with Yairon-Cid Ruiz.\n
 Chairperson - N. Mohan Kumar\n
LOCATION:https://researchseminars.org/talk/VCAS/104/
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