The interplay between Analysis and Convex Geometry is a very active and broad subject. Connections arise with Asymptotic Geometric Analysis, Geometric Tomography, Probability, Information Theory, Combinatorics, as well as other branches of Mathematics, Statistics, Computer Science, and Physics.

Analytic methods in Convex Geometry are vast and fruitful. The conference will cover a variety of exciting topics ranging from Geometric Tomography, Functional and Harmonic Analysis, to Probabilistic aspects of Convexity related to the Concentration of Measure phenomena, Random Matrix theory and Information Theory. The plenary talks will be delivered by some of the most prominent researchers in the field as well as a number of junior participants.

The conference will serve as a wonderful opportunity to bring together leading experts and junior researchers to exchange ideas, showcase their work and foster further fruitful collaborations.

We hope that this conference will serve as a starting point for a local network of researchers and students and will be followed-up in coming years by futher meetings of various types such as conferences, workshops, seminars and schools.

• Promote the cutting-edge research in convex geometry in Latin America.
• Introduce students and young researchers to the field and connect them with internationally renowned senior researchers.
• Foster collaborations in the region and establish a local network of collaborators and students in the field.
• Strengthen the ties between Colombia and the international mathematical community.