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Description

Algebraic Geometry seminar.

Speaker: Mrinmoy Datta.

Affiliation: The Arctic University of Norway.

Date and Time: Thursday 11 July, 4:00 pm - 5:00 pm.

Venue: Room 216, Department of Mathematics.

Title: Bounds on the number of rational points on hypersurfaces defined
over finite fields.

Abstract: In this talk, we will revisit some of the known bounds on the
number of rational points on hypersurfaces of a given degree defined over
a finite field. We will recall a conjecture proposed by Homma and Kim
towards a tight upper bound on the number of rational points on a
nonsingular hyperface contained in an even dimensional projective space
over a finite field. Finally, we will present a recent work towards
proving the above mentioned conjecture for nonsingular threefolds
contained in a four-dimensional projective space.

Mrinmoy Datta : The Arctic University of Norway