Event Type:

Number Theory Seminar

Date/Time:

Tuesday, November 12, 2019 - 16:00 to 16:50

Location:

STAG 112

Local Speaker:

Abstract:

Truncated hypergeometric series often satisfy interesting congruences modulo prime powers. Many of these congruences can be explained via formal group laws. Those which cannot be proven via formal group law are called supercongruences. We discuss a recent approach of Long, Tu, Yui and Zudilin towards proving examples of supercongruences involving Fourier coefficients of modular forms. We also discuss work in progress towards generalizations of these techniques.