标题： 非阿贝尔位移算符和偏移杨图 显示英文标题

标题： Nonabelian shift operators and shifted Yangians

摘要： 我们引入了拟射线计数理论中平移算子的非阿贝尔类比。一方面，我们将它们应用于加强枚举几何与自守形式几何理论之间的新兴类比；另一方面，我们利用它们得到关于量子化库仑分支代数的结果。特别是，我们找到了一个简洁而直接的证明：$GL_n$的仿射 Grassmannian 的等变卷积同调是移位 Yangian 的商。 显示英文摘要

摘要： We introduce nonabelian analogs of shift operators in the enumerative theory of quasimaps. We apply them on the one hand to strengthen the emerging analogy between enumerative geometry and the geometric theory of automorphic forms, and on the other hand to obtain results about quantized Coulomb branch algebras. In particular, we find a short and direct proof that the equivariant convolution homology of the affine Grassmannian of $GL_n$ is a quotient of a shifted Yangian.