Description
Geometry and Topology seminar.
Speaker: Mrinmoy Datta.
Affiliation: Arctic University of Norway, Tromso.
Date and Time: Thursday 06 February, 04:00 pm - 05:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Hermitian surfaces over finite fields and a conjecture by Sørensen.
Abstract: Hermitian varieties, first studied by Bose and Chakravati in
1966, are a class of vastly studied objects in the area of finite geometry
and coding theory. During 1991, in his PhD thesis, A. B. Sørensen proposed
a conjecture on the maximum number of rational points on the intersection
of a Hermitian surface and a surface of degree d defined over the same
field. Edoukou's work in 2006 towards proving the conjecture for d=2
marked the first progress towards this conjecture. In 2018, in a joint
work with Peter Beelen, we have shown that the conjecture is true for d=3.
Finally, in a joint work with Peter Beelen and Masaaki Homma, we have
proved the conjecture completely. In this talk, we will give an account of
these developments.