Date: 14 March 2018 (Wednesday)
Time: 2:00-4:00pm (2:00-3:00pm,talk and 3:10-4:00pm,discussion)
Venue: T7-501
Speaker: Dr. Alice Hui
Language: English
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Title: A tour of some research problems in finite geometry

Abstract: In this talk, I will introduce finite projective geometry and discuss the problem of classification of ovoids in projective space. I will also present some applications of finite geometry on design theory, coding theory, graph theory and group theory. Related research problems will also be explored.

References:
S.G. Barwick, G. Ebert. Unitals in Projective Planes. Springer Monographs in Mathematics, New York, 2008.
S.G. Barwick, D.K. Butler. A characterisation of the lines external to an oval cone in PG(3, q), q even. Journal of Geometry 93 (2009), 21-27
A. Betten, D. Betten, V.D. Tonchev. Unitals and codes. Discrete Mathematics. 267 (2003), 23-33.
R. Casse. Projective Geometry: An Introduction. Oxford University Press, 2006.
K.Y. Chan, H.F. Law, P.P.W. Wong. On polar ovals in abelian projective planes
Innovations in Incidence Geometry 12 (2011), 35-48.
D. Dietz. Projective Geometry Games Home, Retrieved from http://www.donnadietz.com/PG/
A.M.W. Hui. Extending some induced substructures of an inversive plane. Designs, Codes and Cryptography 79 (2015), 611–617.
A.M.W. Hui, B. Rodrigues. Switched graphs of some strongly regular graphs related to the symplectic graph. Designs, Codes and Cryptography 86 (2018), 179-194.
A.M.W. Hui, M.A. Surani, S. Zhou. The vertex-isoperimetric number of the incidence and non-incidence graphs of unitals. Submitted.
A.M.W. Hui, P.P.W. Wong. On embedding a unitary block design as a polar unital and intrinsic characterization of the classical unital. Journal of Combinatorial Theory, Series A 122 (2014), 39-52.
C. M. O'Keefe. Ovoids in PG(3,q): a survey. Discrete Mathematics 151 (1996) 171-188.