Due to its geographic location, throughout history Beirut played a central cultural role in the Middle East as a bridge between the Eastern and the Western world with a long tradition as a city of confluence of cultures.

Inspired by this tradition, we propose the meeting at the confluence of mathematics and physics, which to our knowledge is a new initiative in Lebanon. Also, as far as we know, no Humboldt Kolleg in mathematics has yet been organized in Lebanon. The topics of this conference lie at the intersection of geometry, analysis and modern physics which are well represented in Germany through many research poles such as the Einstein Institute in Potsdam-Golm, the universities of Göttingen, Humboldt of Berlin, Potsdam, Regensburg just to name a few.

Over the last years, the interaction between these topics has substantially expanded to produce spectacular advances in various fields of mathematics. These topics are also the object of active research in Lebanon represented in institutions such as the Lebanese University, the American University of Beirut, Saint Joseph University and Notre Dame University.

In this spirit, we propose to bring together international experts from these various horizons to enhance interdisciplinary interactions in mathematics and physics in Lebanon. The conference aims at introducing local students and researchers to the latest advances in these areas of research and at discussing problems related to these various research directions.

Furthermore, this meeting has a pedagogical component. Indeed, the talks will be introductory and addressed to Master and PhD students as well as to active researchers. There will also be several sessions dedicated to young participants giving them an opportunity to talk about their own research.

The topics of the conference will cover a large spectrum of topics at the interface of geometry, analysis and modern physics. In particular, several talks will focus on geometric analysis putting forward the connection with many geometric and analytical problems some of which originating from mathematical physics and borrowing techniques from spin geometry, PDE's, graph theory, theory of Riemannian surfaces, non-commutative geometry to draw the attention on the relation that exist between these fields. Furthermore, special focus will be put on spectral theory which provides useful tools in geometry and mathematical physics and has been the object of recent interesting and significant results.

We expect that the conference will have a strong impact on the Lebanese scientific community leading to fruitful interactions between mathematicians and physicists. Thanks to the profile of the invited guests, this meeting will be the opportunity for the Lebanese students (Master and PhD) to interact with experts and hopefully stimulate a lively scientific dialogue.

We believe that such an event could develop long lasting ties between Lebanon and Germany and could promote the Humboldt foundation in Lebanon.