# Values of L-functions and periods

## Location

383N

Friday, June 2, 2023 2:30 PM

Francis Brown (Oxford)

I will begin by illustrating on a simple example how the value

of the L-function of an elliptic curve at the point 2 may be interpreted

as a period integral associated to a simple extension, in accordance

with Beilinson’s conjecture. However, this extension involves an

additional period which has no known interpretation. In the second half

of the talk I will propose a notion of mixed L-function whose values

supply this missing period.