Seminar
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| Location: | SLMath: Eisenbud Auditorium, Front Courtyard |
Keywords and Mathematics Subject Classification (MSC)
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Smooth Quot schemes
Abstract: How does one classify all modules over a ring or all sheaves on a variety? Grothendieck offered a geometric answer by introducing the Quot scheme: it parameterizes sheaves on a projective scheme and the Hilbert polynomial gives a natural stratification into disjoint pieces. We will survey the key algebraic features of these parameter spaces for the quotients of a finite direct sum of the structure sheaf on projective space. Moreover, we will classify the smooth Quot schemes of this form. This talk is based on joint work with Roy Skjelnes and Mike Stillman.
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