Jordi Lopez-Abad

Institut de Mathématiques de Jussieu–PRG, Université Paris 7 (France)

jordi.lopez-abadimj-prg.fr

Set Theory

The approximate Ramsey property of the finite dimensional normed spaces

We present the approximate Ramsey property of the finite dimensional normed spaces, and its non-commutative version. The proofs are based on the dual Ram- sey Theorem. As a byproduct of this and the metric Fraïssé theory, we give examples of extremely amenable groups, we compute the universal minimal flow of certain auto- morphism groups, and we provide a kind of “metric Ramsey degree” of matrices and grassmannians over the fields R.C..

This is a joint work with D. Bartosova, M. Lupini and B. Mbombo.

CV

Jordi López-Adad obtained his Undergraduate and Graduate degrees at Universitat de Barcelona, Spain. He has 25 research papers (among others, 3 Advances in Mathematics, 5 Journal of Functional Analysis, 2 Transactions of the American Mathematical Society, 2 Mathematische Annalen). More than 50 talks in international workshops /conferences.

Research position at the Instituto de Ciencias Matemáticas (CSIC), Madrid, Spain. 2008-2016. visiting professor at Universidade de Sao Paulo (May 2014-April 2015).

Marie Curie Post Doctoral fellowship, Univesité Paris Diderot June 2001-May 2003. Several research visits to The Fields Institute for Research in Mathematical Sciences, Mittag Leffler Institute (2 weeks), Isaac Newton Institute.