We are happy to announce the third talk of our **BMS Women in Mathematics Lecture Series**:

Anna von Pippich will talk about “Eisenstein Series”.

When: 5:15 pm on Tuesday, 20th of November, 2012.

Where: HU Berlin, 1.023, Rudower Chaussee 25, 12489 Berlin

There will be tea and cookies after the talk.

———————————————————————–

abstract:

A well-known theorem of Lagrange states that every natu-

ral number n can be represented as the sum of four integer

squares. The total number of such representations is given

by an explicit formula in terms of the divisors of n. The

proof of this formula is carried out by means of Eisenstein

series, which are generalizations of periodic functions and

encode interesting arithmetic information in their Fourier

coefficients.

Nowadays, manifold types of Eisenstein series arise in

mathematics with numerous applications to number the-

ory and arithmetic geometry. In this talk, we first introdu-

ce and highlight the classical Eisenstein series. Then, we

investigate Eisenstein series which are associated to special

points on hyperbolic Riemann surfaces. We employ these

series to construct a metric for the moduli space of hyper-

bolic Riemann surfaces of genus g with marked points and

we will discover their relation to an arithmetic Riemann-

Roch isometry.

Anna von Pippich studied mathematics and philosophy in

Leipzig, Paris and Berlin. In 2010, she completed her PhD on

“The arithmetic of elliptic Eisenstein series”. After research

stays in Zürich, Basel and Berlin, she is currently a substi-

tute professor at the mathematical institute of the Georg-

August University Göttingen.

————————————————————————-

What’s the idea and why are we doing this?

Many young women go through their entire university career without ever

being taught by a single female professor. That’s why we, a group of

young mathematicians in Berlin, came up with the idea of creating a

lecture series where female professors and junior faculty would speak

about their research and the kind of mathematics they do. The goal of

these lectures is to enable the meeting of aspiring mathematicians with

successful female mathematicians. The series will thus provide new role

models to young women, role models that they can more easily identify with

and whose success they can emulate. Moreover, these

talks will be a great occasion for everybody to hear introductory

talks to the cutting-edge research that is happening right now in

Berlin and elsewhere.