Wednesday, June 12, 2019

ICERM workshop: Illustrating Number Theory and Algebra

ICERM (The Institute for Computational and Experimental Research in Mathematics)

October 21-25
Brown University
Providence, Rhode Island

The symbiotic relationship between mathematics illustration and mathematical research is now flowering in algebra and number theory. This workshop will showcase and develop the connections, including the development of new visualization tools for algebra and number theory. Topics are wide-ranging and include Apollonian circle packings and the illustration of the arithmetic of hyperbolic manifolds, the visual exploration of the statistics of integer sequences, and the illustrative geometry of such objects as Gaussian periods and Fourier coefficients of modular forms. Other topics may include expander graphs, abelian sandpiles, and Diophantine approximation on varieties. ICERM will also focus on diagrammatic algebras and categories such as Khovanov-Lauda-Rouquier algebras, Soergel bimodule categories, spider categories, and foam categories. 

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