Math Colloquium @ Bryn Mawr: "Noether-Lefschetz loci and polytopes"Math Colloquium @ Bryn Mawr: "Noether-Lefschetz loci and polytopes"http://www.haverford.edu/calendar/details/261097Bryn Mawr, Park 338.2014-04-28T16:00:002014-04-28T17:00:00
April 28,2014 4:00PM–5:00PM
Bryn Mawr, Park 338.
Antonella Grassi (University of Pennsylvania). Bryn Mawr, Park 338.
Bi-College Mathematics Colloquium
“Noether-Lefschetz loci and polytopes”
Antonella Grassi, University of Pennsylvania.
Tea at 3:30 in Park 355, Math Lounge
Talk at 4:00 in Park 338
Abstract: I will talk about algebraic curves and surfaces in 3-dimensional (projective) space, that is zero loci of homogeonous polynomials.
Under good conditions any curve on a smooth surface in 3-dimensional space can be obtained by intersecting the surface with another surface. The surfaces in the projective space which do not satisfy these good conditions are in "the Noether-Lefschetz locus", which was characterized about 30 years ago. I will then discuss curves and surfaces in toric 3 dimensional spaces and the relation to the combinatorics of polytopes.
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