Talk

Zoom ID: 919 6497 4060.
For password please contact Pieter Moree (moree@mpim...).

It is believed that distinct primitive L-functions are "statistically independent".
The independence can be interpreted in many different ways. In joint works
with Shota Inoue, we show that the values of L-functions behave like independent
normally distributed random variables on the line Re(s)=1/2 in a strong sense.
However, away from the critical line, the values of L-functions begin to
exhibit some correlation.

https://hu-berlin.zoom.us/j/61339297016

Zoom ID: 919 6497 4060.
For password please contact Pieter Moree (moree@mpim...).

After introducing and motivating our interest in distinguished representations, I will detail the steps to understand the parabolically induced ones for the symmetric space G2/SO4. Jerrod Smith and I study them through the geometric lemma of Bernstein-Zelevinsky, sometimes called "orbit method" since we need to analyze successively a set of parabolic orbits. This is a work in progress.

Jiu-Kang Yu (1995) classified the isogeny classes of Drinfeld modules over finite fields in terms of Weil numbers and precisely described the isomorphism classes in an isogeny class of rank 2 $\mathbb{F}_q[T]$-modules. We further the studyby explicitly exhibiting/computing the Weil polynomials and precisely describing the isomorphism classes in an isogeny class for higher ranks $(\geq 3)$ Drinfeld modules. We also provide some results on the orders (of the endomorphism algebra corresponding to an isogeny class) occurring as endomorphism ring of a Drinfeld module.

https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For password please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

Zoom ID: 992 4902 2878
https://zoom.us/j/99249022878

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https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For passcode of this talk please contact Pieter Moree (moree@mpim-bonn.mpg.de)