Amarpreet Rattan

Counting lattice paths with unit up and right steps beginning at the origin that are somehow constrained by a boundary is an old problem. When the boundary is the line y=x the celebrated Chung-Feller theorem states the number of paths having k flaws...

For fixed n, consider the symmetric group S_n on the symbols 1,...,n and the set of *star* transpositions, the transpositions that contain the symbol n. A *star factorization* of a permutation b in S_n of length k is the writing of b as the product...

On Feb 13, J. Campion Loth gave the Discrete Math seminar on "Symmetry of Star Factorisations", where he focused on the combinatorial aspects of these objects and related factorisation problems. In this talk, we will look at these objects, which I...