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Siegel modular forms and higher algebraic cycles

October 24, 2023 at 16:0017:00 CEST

International Seminar on Automorphic Forms

Aleksander Horawa (University of Oxford)

Abstract: In recent work with Kartik Prasanna, we propose an explicit relationship between the cohomology of vector bundles on Siegel modular threefolds and higher Chow groups (aka motivic cohomology groups). For Yoshida lifts of Hilbert modular forms, we use a result of Ramakrishnan to prove our conjecture. For Yoshida lifts of Bianchi modular forms, we show that our conjecture implies the conjecture of Prasanna—Venkatesh.

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

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

Details

Date:
October 24, 2023
Time:
16:00 – 17:00 CEST
Website:
https://www2.mathematik.tu-darmstadt.de/~international_seminar/

Organizers

Claire Burrin
Luis Garcia
Yingkun Li
Riccardo Zuffetti

Venue

Online