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.
5:00pm
6:00pm
Time:
4:00pm-5:00pm
Location:
Room 216, Department of Mathematics
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.