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SUMMARY:Jonathan Montaño (New Mexico State University)
DTSTART:20210429T203000Z
DTEND:20210429T220000Z
DTSTAMP:20260423T021413Z
UID:FOTR/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/48/">Wh
 en are multidegrees positive?</a>\nby Jonathan Montaño (New Mexico State 
 University) as part of Fellowship of the Ring\n\n\nAbstract\nMultidegrees 
 of multiprojective varieties extend the notion of degree of projective var
 ieties. These invariants can be defined via intersection theory\, or algeb
 raically as the leading coefficients of multivariate Hilbert polynomials. 
 It follows that multidegrees are nonnegative integers\, so a fundamental q
 uestion is: When are multidegrees positive?\nIn the first part of the talk
 \, I will survey definitions and key properties of degrees and multidegree
 s\, including some examples.    \n\nIn the second part\, I will present a 
 complete characterization of the positivity of multidegrees\, and establis
 h a combinatorial description using convex geometry. I will also show appl
 ications of our result to mixed multiplicities of ideals and to the suppor
 t of Schubert polynomials. The talk is based on joint work with F. Castill
 o\, Y. Cid-Ruiz\, B. Li\, and N. Zhang.\n
LOCATION:https://researchseminars.org/talk/FOTR/48/
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