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SUMMARY:Lara Bossinger (Instituto de Matemáticas UNAM)
DTSTART:20210610T163000Z
DTEND:20210610T173000Z
DTSTAMP:20260422T055540Z
UID:SFUQNTAG/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/31/
 ">Projections in toric degenerations and standard monomials</a>\nby Lara B
 ossinger (Instituto de Matemáticas UNAM) as part of SFU NT-AG seminar\n\n
 \nAbstract\nI will report on joint work in progress with Takuya Murata. We
  study toric degenerations\, i.e. flat morphism of a normal variety to the
  affine line whose generic fibre is isomorphic to a fixed projective varie
 ty and whose special fibre is a projective toric variety. Although such a 
 flat morphism may be given abstractly (i.e. without an embedding\, for exa
 mple a toric scheme over the affine line) using valuations and Gröbner th
 eory we may restrict our attention to the case where our family comes endo
 wed with an embedding. I will illustrate an example of an elliptic curve w
 here a toric degeneration admits a projection from the generic fibre (the 
 elliptic curve) to the special fibre (the toric curve). We want to underst
 and which kind of (embedded) toric degenerations admit such a projection. 
 The notion of standard monomials in Gröbner theory proves to be a useful 
 tool in constructing projections in arbitrary toric degenerations.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/31/
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