## Combinatorics and Graph Theory

•  Greta Panova, USC
•  Hook length formulas for skew shapes and beyond
•  10/13/2021
•  3:00 PM - 3:50 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Bruce E Sagan (bsagan@msu.edu)

Abstract: The hook length formula for the number of Standard Young Tableaux of a partition lambda is one of the few miraculous product formulas we see in combinatorics. While no such formula for the number of skew SYTs exists in general, the recent Naruse Hook Length Formula (NHLF) brings us close. I will explain this formula and generalizations, give some proofs and bijections, and discuss new extensions of NHLF for increasing tableaux originating in the study of Grothendieck polynomials. Based on a series of papers with A. Morales and I. Pak

## Contact

Department of Mathematics
Michigan State University