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SUMMARY:Adela Vraicu (University of South Carolina)
DTSTART:20210311T213000Z
DTEND:20210311T230000Z
DTSTAMP:20260423T021400Z
UID:FOTR/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/41/">Cl
 assification of extremal hypersurfaces in positive characteristic</a>\nby 
 Adela Vraicu (University of South Carolina) as part of Fellowship of the R
 ing\n\n\nAbstract\nThe log canonical threshold is an invariant that measur
 es how singular a hypersurface over an algebraically closed field of chara
 cteristic zero is. The F-pure threshold is the positive characteristic ana
 log. Hypersurfaces with smaller threshold are more singular.\n\nI will dis
 cuss a lower bound for a homogeneous polynomial in characteristic p\, rela
 tive to its degree\, and describe the classification of the hypersurfaces 
 that achieve this bound up to change of coordinates. These results were ob
 tained as part of a project started at the A.W.M. Workshop ``Women in Comm
 utative Algebra” at B.I.R.S.\; joint work with Zhibek Kadyrsizova\, Jenn
 ifer Kenkel\, Janet Page\, Jyoti Singh\, Karen E. Smith and Emily Witt.\n
LOCATION:https://researchseminars.org/talk/FOTR/41/
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