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CATEGORIES:Lecture, Colloquia, Seminar
DESCRIPTION:Danny Ruberman\n\nThe homology groups of a smooth projective co
mplex hypersurface in CP^n are determined by the degree of its defining equ
ation. A question attributed to René Thom asks whether there is a smooth su
bmanifold of CP^n with the same degree but with smaller Betti numbers. Kron
heimer and Mrowka famously proved that the degree d curve in CP^2 has minim
al Betti numbers\, while Freedman showed many years ago that when n is even
and at least4\, the hypersurface does not minimize the Betti numbers. We s
how that this continues to hold when n = 3\, finding smooth 4-manifolds emb
edded in CP^3 with degree at least 5 with b_2 smaller than the hypersurface
of degree d.\n\nThis is joint work with Sašo Strle and Mark Slapar.
DTEND:20211025T203000Z
DTSTAMP:20220129T093310Z
DTSTART:20211025T193000Z
LOCATION:CW 122\, CW 122
SEQUENCE:0
SUMMARY:Topology Seminar: The Thom conjecture in CP^3
UID:tag:localist.com\,2008:EventInstance_38089210879203
URL:https://events.k-state.edu/event/topology_seminar_the_thom_conjecture_i
n_cp3
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