ON-LINE: Number Theory seminar

Speaker: Asbjørn Nordentoft (KU)

Title:  Quantum modular forms, reciprocity formulas and additive twists of L-functions.

Abstract: In an unpublished paper from the 2007, Conrey discovered certain ‘reciprocity relations’ satisfied by twisted moments of Dirichlet L-functions, linking the arithmetics of the finite fields F_p, F_q for two different primes p,q (as is the case with quadratic reciprocity). In this talk I will discuss a generalization to twisted moments of twisted modular L-functions. This will lead to a discussion of the notion of quantum modular forms due to Zagier, and in particular we will explain that additive twists of modular L-functions define examples of quantum modular forms. 

Organisational information

Event: This seminar will take place online, as a Zoom meeting. Apart from the speaker, there will be a designated "host" of the event, whose job will be to moderate access, to collect the questions (that can be asked in the Zoom chat) and so on.

Participation: If you are not a member of the Algebra and Number Theory group of the University of Copenhagen, please send an email to the host. You will be added to the mailing list for this virtual seminar. Everyone in the mailing list will receive an email with the link to join the Zoom meeting approximately one hour before the starting time of the talk.

Host: Francesco Campagna (KU). Email: campagna@math.ku.dk.

Date and time: 24/04/2020, from 14.00 to 15.00 (Copenhagen time).

Place: Zoom meeting