Date/Time: 13 October 2023, 4:30pm ET Location: Franklin & Marshall College, 215 Stager Hall Zoom: (link removed) Speaker: Ron Umble, Millersville University Title: Comparing Diagonals on the Associahedra Abstract: Saneblidze and I were the first to construct a combinatorial diagonal on the associahedra (2004). Markl and Shnider proved the “Magical Formula” for the diagonal proposed by J-L Loday (2006). Masuda, Thomas, Tonks, and Vallette gave a set theoretic construction, which descends to the “Magical Formula” (2021). In this talk I will outline a proof that our diagonal is identical to the one given by the “Magical Formula” (S-U 2022). This result is useful because our combinatorial diagonal is easy to compute in low dimensions.