Lin WENG
Lecture Notes for the MSC Course: Zetas and Their Zeros

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


Lecture 1: Motivic Euler Product and its Applications

November 12, 2013 (Conference Room 1)

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7-7.1, 7-7.2, 7-7.3, 7-7.4


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)

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Relations with Classics: A Rank Two Zeta and Its Zeros


Lecture 6: Classical Rankin-Selberg Method and Semi-stable $\mathcal O_F$-Lattices

December 11, 2013 (Conference Room 1)

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Lecture 7: Fundamental Domain of $SL(\mathcal O_F\oplus\frak a)\backslash \mathcal H^{r_{_1}}\times\mathbb H^{r_{_2}}$: Cusps, Distances to Cusps, Fundamental Domain, and Stability

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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Last update: Nov 13, 2013 18:00:00