Number Theory Seminar
Sarthak Chimni
University of Illinois at Chicago
Counting subrings of $\mathbb{Z}^n$ of non zero co-rank
Abstract: In this talk I will report on a joint work with Gautam Chinta and Ramin Takloo-Bighash
in which we study subrings of $\mathbb{Z}^{n+k}$, of $(n+k)$-tuples of integers, of co-rank $k$.
We relate the number of subrings $R$ such that the torsion subgroup of $\mathbb{Z}^{n+k}/R$ is of size $r$
to the number of full rank subrings of $\mathbb{Z}^n$ of index $r$.
The seminar lasts 80 minutes (9:30am-10:50am).
Friday October 11, 2019 at 9:30 AM in 1227 SEO