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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The g-fan and the Gröbner fan of Gr(2\,n) and Gr(3
 \,6) - Lara Bossinger (Universidad Nacional Autono
 ma de Mexico (UNAM))
DTSTART;TZID=Europe/London:20211110T134500
DTEND;TZID=Europe/London:20211110T141500
UID:TALK164782AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/164782
DESCRIPTION:In this talk I will discuss recent results of join
 t work with Fatemeh Mohammadi and Alfredo N&aacute
 \;jera Ch&aacute\;vez. We show that for the Grassm
 annains Gr(2\,n) and Gr(3\,6) there exist a unique
  maximal simplicial cone in the Gr&ouml\;bner fan 
 (of a suitable ideal) whose intersection with the 
 tropical Grassmannian is the totally positive part
  of the tropicalization. The initial monomial idea
 l of the maximal cone is the Stanley-Reisner ideal
  of the g-fan (or cluster complex) associated with
  the corresponding cluster algebra. Moreover\, the
 re is family of Gr&ouml\;bner degenerations associ
 ated with the maximal cone that is canonically iso
 morphic to the cluster algebra with universal coef
 ficients. This isomorphism yields an identificatio
 n of the rays of the totally positive tropicalizat
 ion with the cluster variables.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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