From the creators of ‘Phenomena in High Dimensions Sevilla 2008’….
geOmetry, anaLysis & convExity (OLE)
University of Sevilla (Spain)
20 – 24th June 2022
TOPICS:
The topics of the conference are Convex Geometric Analysis and Asymptotic Analysis, as well as Integral Geometry and Discrete Geometry and their applications in Convexity, and related topics.
Convex Geometic Analysis was born from the increasing interaction between Classical (convex) Geometry and Asymptotic (convex) Analysis. During the last three decades, the study of the integral geometry of convex bodies has been fuelled by the introduction of methods, results and new points of view coming from other branches of mathematics such as Probability, Armonic Analysis, Geometry of finite dimensional Normed Spaces, Integral Geometry and Dicrete Geometry. These recent advances have revealed fruitful conections between geometric inequalities, transport theory and information theory.
Asymptotic Convex Analysis is mainly concerned with geometric properties of convex bodies in finite dimensional normed spaces, focused when the dimension tends to infinity. The understanding of high dimensional phenomena become an important point since high dimensional problems are frequently encountered in mathematics and applied sciences.
Concentration of measure phenomenon can be viewed as an isoperimetric problem, which lies at the heart of the Classical Geometry and the Calculus of Variation. Besides Convex Geometry, Geometric Analysis has been developed using techniques and deep theorems from Integral Geometry.
Integral Geometry generalizes the notion of measure to the concept of the so called valuation, and it has developed from a simple technique to a fundamental area both in Geometry (not only convex) and in Analysis and Algebra, the Theory of Valuations. The underlying structure of the valuation space (invariant under translations) is intrisecally connected with affine or analytic isoperimetric inequalities, among others.
MAIN SPEAKERS:
- Shiri Artstein-Avidan (Tel-Aviv, Israel)
- Andrea Colesanti (Florence, Italy)
- Matthieu Fradelizi (Marne-la-Vallée, France)
- Peter Gritzmann (Munich, Germany)
- Alexander Litvak (Edmonton, Canada)
- Monika Ludwig (Vienna, Austria)
- Grigoris Paouris (College Station, USA)
- Elisabeth Werner (Cleveland, USA)
ORGANIZERS:
- David Alonso Gutiérrez
- Bernardo González Merino
- Hugo Jiménez Gómez
- Rafael Villa Caro
- Convie
SPONSORS:
