**Date & Time:** Wednesday, October 01, 2014, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Ritabrata Munshi, TIFR Mumbai

**Title:** Counting rational points on intersection of two quadrics

**Abstract:** Consider a variety given by simultaneous vanishing of two
quadratic forms in n many variables. According to a conjecture of Manin
such a variety should have "lots" of rational points if n > 4. This was
proved by Birch for n > 13 in 1962. Recently this was improved and the right
asymptotic was established for n > 10. This will be the main focus of the talk.