Chennai Mathematical Institute


Seminar Announcement
Date: 25, March 2022
Time 3.30-4.30
Venue: CMI, Seminar Hall (We plan to have it in the hybrid mode)
Quantitative Diophantine approximation for generic ternary diagonal forms

V. Vinay Kumaraswamy
Tata Institute of Fundamental Research, Mumbai.


In this talk, I will discuss the problem of finding ‘small’ solutions to Diophantine inequalities involving diagonal ternary quadratic forms. We study this problem on average over a one-parameter family of forms. Building on work by Bourgain and Schindler, I will present new results examining this problem over the primes, as well as a generalisation to inhomogeneous forms. This is joint work with Anish Ghosh.