Title: From Hilbert’s 16th Problem to Physics
Speaker: Charles Nash (NUI Maynooth)
Abstract: We shall describe a link between Hilbert’s sixteenth problem (part (i)) concerning real algebraic curves and condensed matter physics. The central result is some work of Kenyon and Okounkov (2006). The physics involves so called dimer problems for periodic bipartite and non-bipartite graphs. A differential geometric approach will be introduced to help clarify matters. It transpires that real K-theory underlies the systems studied.
Time: Tuesday 20th March 2018, 2.30pm.
Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.