# Mirimanoff Lectures 2018

The Math department of the University of Geneva together with NCCR SwissMAP are organising the Mirimanoff Lectures 2018.

The lectures will take place on the **18th of October 2018** in **Sciences III** (room 1S 081).

__The Speaker__:

**Ronald Coifman (Yale University)**

Ronald Coifman (PhD, University of Geneva, 1965) professor of Mathematics and Computer Science at Yale University, and the recipient of the 2018 Schock Prize in Mathematics, has made fundamental contributions to theoretical and applied harmonic analysis. In particular he is one of the pioneers of the theory of wavelets including their application, which can be found all over modern technology when data compression, signal analysis, image processing etc are involved. In his plenary lecture at this year’s ICM he explained new tools coming from harmonic analysis to various information challenges in today’s world. Coifman is also a co-founder of ThetaRay a cyber security and big data analytics company.

** The Program: **Thursday, October 18 - Room 1S 081 (building Sciences III - Ground Floor)

**16h00-16h50 : **

**High dimensional data Organization and Analysis.**Abstract:

We'll describe a range of ideas and mathematical tools needed for the analysis and processing of complex data and data transformations , whether in physical situations, such as in acoustic scattering or in the context of massive biological or medical data files. In particular, the construction of various geometries that enable efficient intrinsic data representations . These topics are at the heart of machine learning , mathematical analysis ,geometry and statistics. In particular we will illustrate applications to molecular dynamics, cryo EM, image processing .

**16h50-17h10: Coffee break**

**17h10-18h00:** **Harmonic Analytic Geometry on subsets in high dimensions "Empirical models'' of dynamics. **

Abstract:

Our goal here a recent evolution of Harmonic Analysis to generate analytic tools for the combined geometric organization of the of subsets of R^n, with the analysis of functions and operators restricted to these subsets. In this analysis we establish a duality between the geometry of functions and the geometry of the space. The methods are used to automate various analytic organizations, as well as to enable informative data analysis. These tools extend to higher order tensors, to combine dynamic analysis of changing structures. In particular we view these tools as necessary to enable automated empirical modeling, in which the goal is to model dynamics in nature, {ab initio},through observations alone. We will illustrate applications in mathematics, such as natural dual geometries of eigenvectors, or automated analysis of integral operators (generalizing Calderon Zygmund theory), followed by scientific applications to psychological questionnaires , physical dynamical systems, as well neuronal dynamics.

**18h00-19h00: Reception**

Dmitry Mirimanoff (1861 - 1945) was born in Pereslavl-Zalessky in Russia. He received his Ph.D. degree in 1900 at the Department of Mathematics, University of Geneva. Later, he became a Professor in Mathematics at UniGe. He made significant contributions in Set Theory and Number Theory, and he had interests in Theoretical Physics, in particular, in the Theory of Relativity.