Marie JamesonAffiliation: University of Tennessee Email: mjameson@utk.edu Title Of Talk: On $p$adic modular forms and the BlochOkounkov theorem Abstract: BlochOkounkov studied certain functions on partitions $f$ called shifted symmetric polynomials. They showed that certain $q$series arising from these functions (the socalled $q$brackets $\langle f\rangle_q$) are quasimodular forms. We revisit a family of such functions, denoted $Q_k$, and study the $p$adic properties of their $q$brackets. To do this, we define regularized versions $Q_k^{(p)}$ for primes $p.$ We also use Jacobi forms to show that the $\langle Q_k^{(p)}\rangle_q$ are quasimodular and find explicit expressions for them in terms of the $\langle Q_k\rangle_q$. WARNING: This page contains MATHJAX
Last update made Wed Feb 17 13:45:51 PST 2016.
