论文标题

Poincare系列和奇迹二元性

Poincare series and miraculous duality

论文作者

Lin, Kevin

论文摘要

在全球几何兰兰兹的环境中,我们表明,曲线上的主要捆绑包上的奇迹二重性与双重函数的函数与惠特克系数交织在一起。我们为任意抛物线亚组构建了jacquet函数,以局部术语控制庞加雷级数和惠特克系列的恒定术语。

In the setting of global geometric Langlands, we show that miraculous duality on the stack of principal bundles on a curve intertwines the functor of Poincare series with the dual functor to Whittaker coefficients. We construct, for arbitrary parabolic subgroups, Jacquet functors controlling constant terms of Poincare series and Whittaker coefficients of Eisenstein series in local terms.

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