Student Seminar on Analytic Aspects of Automorphic Forms (Spring 2019)


Time: 4:30 pm - 6:00 pm on Tuesdays
Location: 507 Mathematics

This semester Asbjorn Nordentoft and I are organizing a learning seminar on analytic number theory. The seminars will be divided into several blocks and each focuses on one particular topic. Currently, we intend to include:

  • Equidistribution of Heegner Points and Fourier Coefficient Growth of Automorphic Forms
  • Spectral Reciprocity, Moments and Non-vanishing of Automorphic L-functions
  • Constant Term Formula and Eisenstein Series of Reductive Groups
  • Please email me if you would like to join the mailing list for this seminar.


    General References

    This list will be expanded soon.

    References for Equidistribution of Heegner points

    This list will be expanded soon.

    References for Spectral Reciprocity

    This list will be expanded soon.


    The schedule is tentative and subject to change as the seminar moves along.

      Date  Speaker  Topic  References 
    Lecture 1  January 29  Asbjorn Nordentoft   Background & Review   [D1], [I3]  
    Lecture 2  February 5  Asbjorn Nordentoft   Bounds for Fourier Coefficients of Half-weight Maass forms   [I1], [I2], [Sar]  
    Lecture 3  February 12   Asbjorn Nordentoft   Distribution of Heegner points on Shimura curves associated to Definite Quaternion Algebras   [M]  
    Lecture 4  February 19  Prof. Paul Gunnells (UMass Amherst)  Introduction to Modular Symbols    
    Lecture 5  February 26  Kevin Kwan   Background info of Spectral Reciprocity    
    Lecture 6  March 5  Kevin Kwan     
    Lecture 7  March 12   Kevin Kwan      
    Lecture 8  March 19 (Spring Break)        
    Lecture 9  March 26       
    Lecture 10  April 2       
    Lecture 11  April 9        
    Lecture 12   April 16       
    Lecture 13   April 23       
    Lecture 14   April 30       
    Lecture 15   7 May        
    Lecture 16   14 May        


    Last updated: Feb 12, 2019.

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