Combinatorics & algebra seminar-Permutation Patterns – the typical case

Speaker: Zachary Hamaker, UFL
Date and time: Tuesday, April 7, 4–5 pm
Place: Rome 206
Title: Permutation Patterns – the typical case

Abstract: In permutation patterns, most research is concerned with properties of permutations avoiding a given pattern. There is also a rich literature on the opposite extreme: packing as many instances of a pattern into a permutation as is possible. In this talk, I will survey the middle ground of pattern counts in the typical case. Many variations on this theme will be explored: notions of a pattern, properties to investigate and interpretations of ‘typical’. I will give special attention to recent work relating patterns and cycle type, including some original work joint with Brendon Rhoades.