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SUMMARY:Enrica Mazzon (University of Michigan)
DTSTART:20220218T200000Z
DTEND:20220218T210000Z
DTSTAMP:20260422T142040Z
UID:agstanford/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/7
 7/">Higher Fano manifolds</a>\nby Enrica Mazzon (University of Michigan) a
 s part of Stanford algebraic geometry seminar\n\n\nAbstract\nFano manifold
 s are complex projective manifolds having positive first Chern class. The 
 positivity condition on the first Chern class has far-reaching geometric a
 nd arithmetic implications. For instance\, Fano manifolds are covered by r
 ational curves\, and families of Fano manifolds over one-dimensional bases
  always admit holomorphic sections. In recent years\, there has been a gre
 at effort towards defining suitable higher analogues of the Fano condition
 . Higher Fano manifolds are expected to enjoy stronger versions of several
  of the nice properties of Fano manifolds. For instance\, they should be c
 overed by higher dimensional rational varieties\, and families of higher F
 ano manifolds over higher-dimensional bases should admit meromorphic secti
 ons (modulo Brauer obstruction). In this talk\, I will discuss a possible 
 notion of higher Fano manifolds in terms of positivity of higher Chern cha
 racters\, and discuss special geometric features of these manifolds.\n\nTh
 e synchronous discussion for Enrica Mazzon’s talk is taking place not in
  zoom-chat\, but at https://tinyurl.com/2022-02-18-em (and will be deleted
  after ~3-7 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/77/
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