4,4), characteristic classes, D4 and G2 singularitie

Speaker(s)

Andrzej Weber

Affiliation

Uniwersytet Warszawski

Date

Nov. 19, 2013, 12:15 p.m.

Room

room 4070

Title in Polish

Triality in so

Seminar

Seminar Algebraic Topology

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We recall the construction of triality in so(8) given by E. Cartan and we give a matrix definition for this automorphism for the real form so(4,4). Next we compute the induced results on the characteristic classes (Pontryagin and Stiefel-Whitney classes). Paralelly we study the triality automorphism of the singularity D4 (in Arnolds classification of smooth functions) and its miniversal deformation. The similarity with Lie theory leads us to a definition of G2 singularity. 

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