This web page provides the links to the lecture notes given at MSC, Tsinghua University in November and December, 2013.
Various Aspects of Zeta Functions |
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Lecture 1: Motivic Euler Product and its Applications November 12, 2013 (Conference Room 1) |
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Lecture 2: Special Uniformity of Zetas: $\widehat\zeta_{X,n}(s)=\widehat\zeta_X^{SL_n}(s)$ November 14, 2013 (Conference Room 1) |
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Lecture 3: Riemann Hypothesis for Non-Abelian Zetas of Elliptic Curves November 19, 2013 (Conference Room 1) |
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Lecture 4: Torsion Sheaves and Cohen-Lenstra Heuristics for Elliptic Curves November 21, 2013 (Conference Room 1) |
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Lecture 5: Periods and Non-Abelian Zetas for Number Fields November 26, 2013 (Conference Room 1) |
Relations with Classics: A Rank Two Zeta and Its Zeros |
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Lecture 6: Classical Rankin-Selberg Method and Semi-stable $\mathcal O_F$-Lattices December 11, 2013 (Conference Room 1) |
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December 16, 2013 (Conference Room 1) |
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Lecture 8: Eisenstein Series and Rank Two Zetas for Number Fields December 18, 2013 (Conference Room 1) |
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