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Kudla-Millson lift on the symmetric space of SL_N

January 21 at 16:0017:00 CET

International Seminar on Automorphic Forms

Romain Branchereau (McGill University): Kudla-Millson lift on the symmetric space of SL_N

I will present a construction of a map from the homology in degree N-1 of locally symmetric spaces associated to SL_N, to modular forms of weight N. The image of a cycle C by this map is a modular form whose Fourier coefficients are intersection numbers between C and a family of generalized modular symbols on the locally symmetric space. This map can be seen as a Kudla-Millson theta lift for the dual pair (SL_N, SL_2) and also resembles a construction of Bergeron-Charollois-Garcia.

https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits)

 

Details

Date:
January 21
Time:
16:00 – 17:00 CET
Website:
https://lykpi.github.io/ISoAF/

Organizers

Claire Burrin
Luis Garcia
Yingkun Li
Riccardo Zuffetti

Venue

Zoom