Convolution exhaustion conjecture for mirabolic character sheaves
Let DDD be a vector space, and let VVV and WWW be vector spaces with dim(V)+dim(W)=dim(D)\dim(V)+\dim(W)=\dim(D)dim(V)+dim(W)=dim(D). Let \CG∈\calC(GL(V))\CG\in\calC(\operatorname{GL}(V))\CG∈\calC(GL(V)) and \CG′∈\calC(GL(W))\CG'\in\calC(\operatorname{GL}(W))\CG′∈\calC(GL(W)), an…