Alladi Ramakrishnan Hall

Cotangent Bundle of the Flag Variety

Rahul Singh

Northeastern University

Let G=SL(n), and LG the associated loop group. We show that there is a
G-stable closed subset of a Schubert variety of LG which is a natural
compactification of the cotangent bundle to the finite-dimensional
Flag variety G/P. The embedding relates naturally with the Springer
resolution for any orbit closure inside the variety of nilpotent
matrices. Joint work with Lakshmibai.