**Date & Time:** Wednesday, April 02, 2014, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Satadal Ganguly, ISI Kolkata

**Title:** Oscillations in arithmetic sequences

Abstract: Measuring oscillations in arithmetic sequences often leads to deep and challenging problems with interesting applications. For instance, having a good understanding of the sign-changes in the values of the Möbius function *μ(n)* will lead to a resolution of the Riemann Hypothesis. I shall describe some of the basic ideas involved in studying oscillations along with examples and applications with special emphasis on the problem of studying sign-changes in the values of the Ramanujan Tau function *τ(n)*, and more generally to coefficients of modular forms. No prerequisites will be assumed.