Annual progress seminar Date: 24th August, 2023 Time: 10:00 AM -- 11:00 AM Venue: Room 215 Host: Manoj Keshari Speaker: Sai Krishna Title: An algebraic characterization of the affine three space in arbitrary characteristic Abstract: We give an algebraic characterization of the affine three space over an algebraically closed field of arbitrary characteristic. We will look at a possible application of this characterization to reformulate the question of whether certain ring is isomorphic to the polynomial ring in three variables over an algebraically closed field of positive characteristic.