The most symmetric Heegaard splittings

Speaker:Chao Wang (East China Normal University)

Date:July 14 Wed. 3:00pm -- 4:30 pm

Venue: Lecture Hall, Institute for Advanced Study in Mathematics, No.7 teaching building

Abstract:It is known that in the orientable category the maximum order of finite group actions on genus g>1 Heegaard splittings is 12(g-1). We will give a classification of the actions realizing this bound in the meaning of Thurston’s geometrization of 3-orbifolds. As a useful tool, alternating trivalent graphs and its relation with geometric 3-orbifolds will also be introduced.