Siegel modular forms and associated representations

Lecture Schedule

All lectures will be held in Madhava Hall on the 4th floor of the Main Building in IISER Pune. The morning lectures will be from 09:30-11:00 hrs and the after noon lectures will be from 15:00-16:15 hrs. View calendar.

Lecture 1: Motivation, the symplectic group, Siegel modular forms (August 7)

Lecture 2: Examples (August 8)

Lecture 3: Hecke theory and L-functions (August 9)

Lecture 4: Generalized Ramanujan conjecture, Non-vanishing of Fourier coefficients, Bocherer's conjecture (August 10)

Lecture 5: Current research on Fourier coefficients and Hecke eigenvalues (August 11)

Lecture 6: Classical to adelic, representation associated to Siegel modular forms (August 12)

Lecture 7: Local representations of GSp(4), degree 8 L-function for GSp(4)xGL(2) (August 14)

Lecture 8: Integral representation of L-function, global Bessel models (August 16)

Lecture 9: Local Bessel models, functional equation and analytic continuation of L-functions (August 17)

Lecture 10: Langlands transfer to GL(4), Deligne's conjecture on arithmeticity of special values of L-functions (August 18)