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Event Type:

Department Colloquium

Date/Time:

Monday, March 2, 2020 - 16:00 to 17:00

Location:

Kidder Hall 364

Guest Speaker:

Institution:

Occidental College

Abstract:

Coding theory is the mathematical theory of how to accurately transmit information over noisy channels. For instance, when we receive a message can we detect if there was an error in transmission? If so, can we correct it? In this talk we will recall the basic definitions of (linear) coding theory. Given a linear code, we can associate a lattice, which is where number theory starts to come into the picture. We will discuss how one can use these lattices to associate modular forms to codes and some of the results one can prove using modular forms. In particular, I will discuss some joint work with Beren Gunsolus, Felice Manganiello, and OSU's very own Jeremy Lilly that associates Hilbert modular forms with codes defined over $\mathbb{F}_{p^2}$.

Host: