Seminar series
Date
Tue, 29 May 2007
12:00
12:00
Location
L3
Speaker
Misha Feigin
Organisation
Glasgow
I am going to discuss a special class of logarithmic solutions to WDVV
equations. This type of solutions appeared in Seiberg-Witten theory is defined
by a finite set of covectors, the V-systems. The V-systems introduced by Veselov
have remarkable properties. They contain Coxeter root systems, and they are
closed under taking subsystems and restrictions. The corresponding solutions are
almost dual in Dubrovin's sense to the Frobenius manifolds structures on the
orbit spaces of Coxeter groups and their restrictions to discriminants. Another
source of V-systems is generalized root systems. The talk will be based on joint
work with Veselov.