论文标题
零属的分析Langlands计划的乘法内核
Multiplication Kernels for the Analytic Langlands Program in Genus Zero
论文作者
论文摘要
我们提供了Gaiotto Arxiv：2110.02255的最新结果的明确证明，该结果为所谓的“乘法内核” $ k_3（x，y，y，z; t）提供了明确的公式，与Hecke Operators和Gaudin操作员相互交织了三组$ k____________________3的情况。 Langlands计划ARXIV属：1908.09677，ARXIV：2103.01509，ARXIV：2106.05243，我们还讨论了内核$ k_3 $如何与分析Langlands计划中通常考虑的其他对象有关。
We provide an explicit proof of a recent result of Gaiotto arXiv:2110.02255 which gives an explicit formula for a so-called "multiplication kernel'' $K_3(x, y, z; t)$ intertwining the action of Hecke operators and Gaudin operators in three sets of variables. This function $K_3$ arises naturally in the context of the analytic formulation of the geometric Langlands program in the genus-zero case arXiv:1908.09677, arXiv:2103.01509, arXiv:2106.05243. We also discuss how the kernel $K_3$ relates to other objects typically considered in the analytic Langlands program.
