Schubert calculus and quantum integrability

開催日時: 
2019/04/10 Wed 16:30 - 17:30
場所: 
3号館110講演室
講演者: 
Paul Zinn-Justin
講演者所属: 
The University of Melbourne
概要: 

We report on recent progress in the field of Schubert calculus, a classical branch of enumerative geometry, due to its surprising connection to quantum integrable systems. We shall see how the latter provide many explicit combinatorial formulae (``puzzle rules'') for intersection numbers for partial flag varieties, and their generalizations (e.g. in equivariant K-theory). We shall also discuss the connection with the work of Okounkov et al on quantum integrable systems and the equivariant cohomology of Nakajima quiver varieties. This is joint work with A. Knutson (Cornell).