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Vectorial Drinfeld modular forms over Tate algebras

May 30, 2023 at 13:3015:00 CEST

Sriram Chinthalagiri Venkata: Drinfeld modular forms of prime power levels via vectorial modular forms

We now focus on another application of VDMFs for obtaining Drinfeld modular forms of
certain level. This will be done by evaluating T-valued functions on a particular point of C∞
as well as taking the hyperderivatives of entries of VDMFs. More precisely, the talk should
cover the content of [PP18, Prop. 4.11] and [PP18, Prop. 4.19]. Hence it should be organized
so that all necessary background, such as Drinfeld modular forms for congruence subgroups and notion of hyperderivatives, to achieve the above mentioned results are introduced. The main references are [PP18, §4.1–4.2.4] and [PP18, §4.4–4.4.2].

Details

Date:
May 30, 2023
Time:
13:30 – 15:00 CEST

Organizers

Oğuz Gezmiş
Gebhard Böckle

Venue

Heidelberg, Mathematikon, SR 8
INF 205
Heidelberg, Germany
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