Mrinmoy Datta : Arctic University of Norway, Tromso

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.
Description
Ramanujan Hall, Department of Mathematics
Date
Thu, February 6, 2020
Start Time
4:00pm-5:00pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
DEFAULT ADMINISTRATOR
Updated
Mon, February 3, 2020 11:10am IST