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Seminar: Pattern avoidance in alternating sign rectangles
Speaker: Dr. Hans Hoengesberg, University of Ljubljana, Slovenia.
Abstract: Pattern avoidance in permutations has long been a central topic in enumerative combinatorics, with early motivations from theoretical computer science. Although alternating sign matrices are a well-known generalisation of permutation matrices, comparatively little research has been done on pattern avoidance in alternating sign matrices, aside from a few notable exceptions. In this talk, we explore several notions of pattern avoidance in alternating sign matrices and alternating sign rectangles, and present enumerative, asymptotic, and explicit bijective results. This is joint work with Matjaž Konvalinka and Svante Linusson.
Keywords: Pattern Avoidance, Alternating sign rectangles