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Combinatorics of the abelian-nonabelian correspondence October 22, 2012 (02:10 PM PDT - 03:00 PM PDT)
Parent Program: --
Location: UC Berkeley
Speaker(s) Kaisa Taipale (University of Minnesota, Twin Cities)
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The UC Berkeley Combinatorics Seminar
Mondays 2:10pm - 3:00pm
939 Evans Hall
Organizers: Florian Block, Max Glick, and Lauren Williams

Combinatorics of the abelian-nonabelian correspondence
Speaker: Kaisa Taipale

The Grassmannian Gr(k,n) and the product of projective spaces (P^(n-1))^k are both GIT quotients of the projective space P^(nk-1). One can relate their cohomologies and Gromov-Witten theories by the abelian-nonabelian correspondence. I will explain this geometric relationship and two combinatorial manifestations of the correspondence (through Schubert calculus and through torus localization), finishing with some unanswered questions.

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