# Algebra/Number Theory Seminar

## Character bases and tiling in ${\Bbb Z}_p^2$.

Alex Iosevich, UR

Wednesday, February 14th, 2018
12:00 PM - 1:00 PM
Hylan 1106A

We are going to prove that if $E \subset {\Bbb Z}_p^2$, $p$ prime, then $L^2(E)$ has an orthogonal basis of characters if and only if $E$ tiles ${\Bbb Z}_p^2$ by translation. The (fairly elementary) proof has an analytic, combinatorial and number theoretic components. This is joint work with Azita Mayeli and Jonathan Pakianathan.

Event contact: dinesh dot thakur at rochester dot edu