BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20231011T132556Z
DTSTART:20231017T130000Z
DTEND:20231017T140000Z
SUMMARY:Algebra seminar - From toric degenerations of the Grassmannian to
its algebraic matroid
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}f239-lnls46
j8-hna90s
DESCRIPTION:Abstract: The coordinate ring of the Grassmannian under the P
luecker embedding is generated by maximal minors. These generators are n
atural as they satisfy 'straightening relations' that are akin to the (p
ossibly) familiar reduction of S-polynomials for Groebner bases. However
\, these straightening relations depend on a choice of term order. If on
e changes the term order\, it is computationally expensive to verify whe
ther the maximal minors exhibit straightening relations. To explore this
problem\, we use matching fields: combinatorial gadgets that arise in t
ropical geometry. Associated to each matching field is a polytope. In th
is talk\, I will relate the toric variety of this polytope with the comb
inatorics of the matching field and straightening relations of maximal m
inors. I will explain how this story relates to combinatorial mutations
of Newton-Okounkov bodies and sheds light on the algebraic matroid of th
e Grassmannian.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR