Personal webpage of Valentina Kiritchenko

Faculty of Mathematics

October 3, Wednesday, 18:30, room 306

shinymath, · Categories: Без рубрики

Mikhail Troshkin

2-transitivity of Galois groups in Schubert calculus

Galois group of a problem in enumerative geometry indicates how solutions to the problem are permuted as conditions are varied continuously along loops. In recent years, new theoretical and experimental results concerning Galois groups in Schubert calculus were obtained. We shall review them and present a proof that Galois groups for a certain class of Schubert problems (including every problem on Gr(2, n)) are 2-transitive, following the paper by F. Sotille and J.White.

The proof will use only the basic notions of algebraic geometry; the definitions of Galois group (in this context) and Schubert problems will be recalled in the talk.