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.
25-03-22

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Abstract

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.