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This version of NSU News has been archived as of February 28, 2019. To search through archived articles, visit nova.edu/search. To access the new version of NSU News, visit news.nova.edu.
This version of SharkBytes has been archived as of February 28, 2019. To search through archived articles, visit nova.edu/search. To access the new version of SharkBytes, visit sharkbytes.nova.edu.
Farquhar College of Arts and Sciences Assistant Professor Presents at Conference in France
Vehbi Paksoy, Ph.D., assistant professor in the Farquhar College of Arts and Sciences Division of Math, Science, and Technology, presented his research at the Eighth French Combinatorial Conference at the University of Paris from June 28 – July 2. Paksoy’s talk was titled “A Combinatorial Criterion to Determine Fano Polygon Spaces.”
In his presentation, Paksoy provided a method to conclude if a given moduli space of spatial polygons with given side lengths is Fano. A projective manifold is called Fano if its anti-canonical bundle is ample. The combinatorial method uses the equivalence between the space of spatial polygons and the C(m), space of stable weighted point configurations on complex projective line.
More explicitly, in the presentation, Paksoy computed the intersection numbers of the divisors with two types of rational curves given by “star”- and “triangle”-type quadrangle spaces, which in turn gives a combinatorial description of generic intersection. From this, Paksoy obtained combinatorial conditions of being Fano.
The French Combinatorial Conference has been held about every five years since 1976 and is a well-known meeting in the field. Researchers convene from across the globe to share ideas and issues concerning combinatorial mathematics in areas of academia, government, and industry.