• 科學研究
    報告題目:

    Bessel functions and Beyond Endoscopy

    報告人:

    齊治 百人計劃研究員 (浙江大學)

    報告時間:

    報告地點:

    騰訊會議ID 367 399 279

    報告摘要:

    In this talk, I will first introduce the thesis of Akshay Venkatesh on Beyond Endoscopy for $\mathrm{Sym}^2$ $L$-functions on $\mathrm{GL}_2$ over $\mathbb{Q}$ or a totally real field. The idea follows a suggestion of Peter Sarnak on using the Kuznetsov relative trace formula instead of the Arthur-Selberg trace formula for the Beyond Endoscopy problem. I will then discuss how to generalize Venkatesh's work from totally real to arbitrary number fields. The main supplement is an integral formula for the Fourier transform of Bessel functions over $\mathbb{C}$.

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