Tsinghua University Loo-Keng Hua Distinguished Lecture
Student No.:50
Time:16:30-17:30, 2017-6-13/6-15
Instructor:Henri Darmon  [McGill University.]
Place:Lecture Hall, Floor 3, Jin Chun Yuan West Building
Starting Date:2017-6-13
Ending Date:2017-6-15



Lecture 1 (Colloquium style lecture)


Modular forms and class field theory.


He will describe various connections between classical modular forms and the explicit construction of class fields (abelian extensions) of number fields, and their eventual generalisations.



Lecture 2 (More advanced lectures)


Rigid analytic modular cocycles.


The “rigid analytic modular cocycles” of the title are objects which display a loose analogy, in a p-adic setting, with the “quantum modular forms” described and studied by Zagier. Various arithmetic applications of these modular cocycles, notably to the possible construction of class fields of real quadratic fields, will be described.