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SUMMARY:Lara Bossinger (UNAM Oaxaca\, Mexico)
DTSTART:20200618T150000Z
DTEND:20200618T160000Z
DTSTAMP:20260423T024802Z
UID:LAGOON/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/8/">F
 amilies of Gröbner degenerations</a>\nby Lara Bossinger (UNAM Oaxaca\, Me
 xico) as part of Longitudinal Algebra and Geometry Open ONline Seminar (LA
 GOON)\n\n\nAbstract\nIn this talk I will present a construction of one fla
 t family that combines many Gröbner degenerations. More precisely\, for a
  (weighted) homogeneous ideal we consider a maximal cone in its Gröbner f
 an. Associated to that cone we define a flat family that contains various 
 special fibers associated to the initial degenerations of the cone and all
  its faces. This construction has several interesting applications. Most s
 urprisingly\, it recovers the recursive construction of universal coeffici
 ents for cluster algebras in a non-recursive way for the Grassmannians Gr(
 2\,n) and Gr(3\,6). If time permits I will present another application exp
 laining how to recover Kaveh-Manon's toric equivariant families arising fr
 om a collection of nice cones in the tropicalization of an ideal. This tal
 k is based on joint work in progress with F. Mohammadi and A. Nájera Chá
 vez.\n
LOCATION:https://researchseminars.org/talk/LAGOON/8/
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