Seminar
| Parent Program: | -- |
|---|---|
| Location: | UC Berkeley Math (Evans Hall 939) |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Both LLT polynomials and k-Schur functions were derived from the study of Macdonald polynomials, and have proved to be fruitful areas of study. A conjecture due to Haglund and Haiman states that k-bandwidth LLT polynomials expand positively into k-Schur functions. This is trivial in the case k=1 and has been recently proved for k=2. In this talk, I will present a proof for the case k=3. To this end, I will introduce a new computational method for establishing linear relations among LLT polynomials.
No Notes/Supplements Uploaded No Video Files Uploaded