Hook formulas and their generalizations

Starting with the classical hook-length formula (HLF), I will give a broad overview of the many hook formulas across the literature. I will then discuss our latest beta-deformation of the HLF, which arises from the study of factorial Grothendieck polynomials. The talk will be completely combinatorial and assumes no prior knowledge of the area. Joint work with Alejandro Morales and Greta Panova.