Houston Kirk Colloquium: Incidence geometry and tiled surfaces
Speaker: Sergey Fomin, University of Michigan
Abstract: We show that various classical theorems of linear incidence geometry, such as the theorems of Pappus, Desargues, Möbius, and so on, can be interpreted as special cases of a general result that involves a tiling of a closed oriented surface by quadrilateral tiles. This yields a general mechanism for producing new incidence theorems and generalizing the known ones. This is joint work with Pavlo Pylyavskyy.
Host: John Shareshian
Reception to follow at Cupples I, Room 200 (Lounge) from 2:00pm to 3:00pm