National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Seminar Details

Seminar Title:
Characterization of the family of lines meeting a Hermitian variety of PG(3, q^2 ) in q + 1 point
Seminar Type:
Progress Seminar
Department:
Mathematics
Speaker Name:
Stuti Mohanty ( Rollno : 521ma6014)
Speaker Type:
Student
Venue:
Seminar Room (Department of Mathematics)
Date and Time:
26 Sep 2024 05:00 pm
Contact:
Dr. Bikramaditya Sahu
Abstract:

The study of characterization of subspaces defined with respect to a quadric has been a topic of interest in the field of finite geometry. Hermitian varieties, defined over finite fields, are of great interest to study
because of their special algebraic and geometric features. This seminar presents an intricate characterization of secant lines associated with a Hermitian variety in the projective space PG(3,q2), by examining their intersection properties with both points and planes.