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The Conormal Variety of a Schubert Variety
Algebraic Geometry and Number Theory| Speaker: | Rahul Singh, Northeastern University |
| Related Webpage: | http://mathserver.neu.edu/~rahul/ |
| Location: | 2112 MSB |
| Start time: | Wed, Sep 26 2018, 1:10PM |
Let N be the conormal variety of a Schubert variety X.In this talk, we discuss the geometry of N in two cases, when X is cominuscule, and when X is a divisor.
In particular, we present a resolution of singularities and a system of defining equations for N. We also describe certain cases when N is normal, Cohen-Macaulay, and Frobenius split. Time permitting, we plan to illustrate the close relationship between N and orbital varieties, and discuss the consequences of the above constructions for orbital varieties.